- FindStat

Identifier

Mp00098: Alternating sign matrices —link pattern⟶ Perfect matchings
Mp00113: Perfect matchings —reverse⟶ Perfect matchings
Mp00116: Perfect matchings —Kasraoui-Zeng⟶ Perfect matchings
Mp00113: Perfect matchings —reverse⟶ Perfect matchings

Images

[[1]] => [(1,2)] => [(1,2)] => [(1,2)] => [(1,2)]

[[1,0],[0,1]] => [(1,4),(2,3)] => [(1,4),(2,3)] => [(1,3),(2,4)] => [(1,3),(2,4)]

[[0,1],[1,0]] => [(1,2),(3,4)] => [(1,2),(3,4)] => [(1,2),(3,4)] => [(1,2),(3,4)]

[[1,0,0],[0,1,0],[0,0,1]] => [(1,6),(2,5),(3,4)] => [(1,6),(2,5),(3,4)] => [(1,4),(2,5),(3,6)] => [(1,4),(2,5),(3,6)]

[[0,1,0],[1,0,0],[0,0,1]] => [(1,2),(3,4),(5,6)] => [(1,2),(3,4),(5,6)] => [(1,2),(3,4),(5,6)] => [(1,2),(3,4),(5,6)]

[[1,0,0],[0,0,1],[0,1,0]] => [(1,6),(2,3),(4,5)] => [(1,6),(2,3),(4,5)] => [(1,3),(2,5),(4,6)] => [(1,3),(2,5),(4,6)]

[[0,1,0],[1,-1,1],[0,1,0]] => [(1,2),(3,6),(4,5)] => [(1,4),(2,3),(5,6)] => [(1,3),(2,4),(5,6)] => [(1,2),(3,5),(4,6)]

[[0,0,1],[1,0,0],[0,1,0]] => [(1,6),(2,3),(4,5)] => [(1,6),(2,3),(4,5)] => [(1,3),(2,5),(4,6)] => [(1,3),(2,5),(4,6)]

[[0,1,0],[0,0,1],[1,0,0]] => [(1,2),(3,4),(5,6)] => [(1,2),(3,4),(5,6)] => [(1,2),(3,4),(5,6)] => [(1,2),(3,4),(5,6)]

[[0,0,1],[0,1,0],[1,0,0]] => [(1,4),(2,3),(5,6)] => [(1,2),(3,6),(4,5)] => [(1,2),(3,5),(4,6)] => [(1,3),(2,4),(5,6)]

[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]] => [(1,8),(2,7),(3,6),(4,5)] => [(1,8),(2,7),(3,6),(4,5)] => [(1,5),(2,6),(3,7),(4,8)] => [(1,5),(2,6),(3,7),(4,8)]

[[0,1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]] => [(1,2),(3,6),(4,5),(7,8)] => [(1,2),(3,6),(4,5),(7,8)] => [(1,2),(3,5),(4,6),(7,8)] => [(1,2),(3,5),(4,6),(7,8)]

[[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7)] => [(1,8),(2,3),(4,5),(6,7)] => [(1,3),(2,5),(4,7),(6,8)] => [(1,3),(2,5),(4,7),(6,8)]

[[0,1,0,0],[1,-1,1,0],[0,1,0,0],[0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7)] => [(1,6),(2,3),(4,5),(7,8)] => [(1,3),(2,5),(4,6),(7,8)] => [(1,2),(3,5),(4,7),(6,8)]

[[0,0,1,0],[1,0,0,0],[0,1,0,0],[0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7)] => [(1,8),(2,3),(4,5),(6,7)] => [(1,3),(2,5),(4,7),(6,8)] => [(1,3),(2,5),(4,7),(6,8)]

[[0,1,0,0],[0,0,1,0],[1,0,0,0],[0,0,0,1]] => [(1,2),(3,6),(4,5),(7,8)] => [(1,2),(3,6),(4,5),(7,8)] => [(1,2),(3,5),(4,6),(7,8)] => [(1,2),(3,5),(4,6),(7,8)]

[[0,0,1,0],[0,1,0,0],[1,0,0,0],[0,0,0,1]] => [(1,6),(2,3),(4,5),(7,8)] => [(1,2),(3,8),(4,5),(6,7)] => [(1,2),(3,5),(4,7),(6,8)] => [(1,3),(2,5),(4,6),(7,8)]

[[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0]] => [(1,8),(2,7),(3,4),(5,6)] => [(1,8),(2,7),(3,4),(5,6)] => [(1,4),(2,6),(3,7),(5,8)] => [(1,4),(2,6),(3,7),(5,8)]

[[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)]

[[1,0,0,0],[0,0,1,0],[0,1,-1,1],[0,0,1,0]] => [(1,8),(2,3),(4,7),(5,6)] => [(1,8),(2,5),(3,4),(6,7)] => [(1,4),(2,5),(3,7),(6,8)] => [(1,3),(2,6),(4,7),(5,8)]

[[0,1,0,0],[1,-1,1,0],[0,1,-1,1],[0,0,1,0]] => [(1,2),(3,8),(4,7),(5,6)] => [(1,6),(2,5),(3,4),(7,8)] => [(1,4),(2,5),(3,6),(7,8)] => [(1,2),(3,6),(4,7),(5,8)]

[[0,0,1,0],[1,0,0,0],[0,1,-1,1],[0,0,1,0]] => [(1,8),(2,3),(4,7),(5,6)] => [(1,8),(2,5),(3,4),(6,7)] => [(1,4),(2,5),(3,7),(6,8)] => [(1,3),(2,6),(4,7),(5,8)]

[[0,1,0,0],[0,0,1,0],[1,0,-1,1],[0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)]

[[0,0,1,0],[0,1,0,0],[1,0,-1,1],[0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8)] => [(1,2),(3,4),(5,8),(6,7)] => [(1,2),(3,4),(5,7),(6,8)] => [(1,3),(2,4),(5,6),(7,8)]

[[1,0,0,0],[0,0,0,1],[0,1,0,0],[0,0,1,0]] => [(1,8),(2,7),(3,4),(5,6)] => [(1,8),(2,7),(3,4),(5,6)] => [(1,4),(2,6),(3,7),(5,8)] => [(1,4),(2,6),(3,7),(5,8)]

[[0,1,0,0],[1,-1,0,1],[0,1,0,0],[0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)]

[[0,0,1,0],[1,0,-1,1],[0,1,0,0],[0,0,1,0]] => [(1,8),(2,7),(3,4),(5,6)] => [(1,8),(2,7),(3,4),(5,6)] => [(1,4),(2,6),(3,7),(5,8)] => [(1,4),(2,6),(3,7),(5,8)]

[[0,0,0,1],[1,0,0,0],[0,1,0,0],[0,0,1,0]] => [(1,8),(2,3),(4,7),(5,6)] => [(1,8),(2,5),(3,4),(6,7)] => [(1,4),(2,5),(3,7),(6,8)] => [(1,3),(2,6),(4,7),(5,8)]

[[0,1,0,0],[0,0,0,1],[1,0,0,0],[0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)]

[[0,0,1,0],[0,1,-1,1],[1,0,0,0],[0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)]

[[0,0,0,1],[0,1,0,0],[1,0,0,0],[0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8)] => [(1,2),(3,4),(5,8),(6,7)] => [(1,2),(3,4),(5,7),(6,8)] => [(1,3),(2,4),(5,6),(7,8)]

[[1,0,0,0],[0,0,1,0],[0,0,0,1],[0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7)] => [(1,8),(2,3),(4,5),(6,7)] => [(1,3),(2,5),(4,7),(6,8)] => [(1,3),(2,5),(4,7),(6,8)]

[[0,1,0,0],[1,-1,1,0],[0,0,0,1],[0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7)] => [(1,6),(2,3),(4,5),(7,8)] => [(1,3),(2,5),(4,6),(7,8)] => [(1,2),(3,5),(4,7),(6,8)]

[[0,0,1,0],[1,0,0,0],[0,0,0,1],[0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7)] => [(1,8),(2,3),(4,5),(6,7)] => [(1,3),(2,5),(4,7),(6,8)] => [(1,3),(2,5),(4,7),(6,8)]

[[0,1,0,0],[0,0,1,0],[1,-1,0,1],[0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8)] => [(1,2),(3,6),(4,5),(7,8)] => [(1,2),(3,5),(4,6),(7,8)] => [(1,2),(3,5),(4,6),(7,8)]

[[0,0,1,0],[0,1,0,0],[1,-1,0,1],[0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8)] => [(1,2),(3,8),(4,5),(6,7)] => [(1,2),(3,5),(4,7),(6,8)] => [(1,3),(2,5),(4,6),(7,8)]

[[1,0,0,0],[0,0,0,1],[0,0,1,0],[0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7)] => [(1,8),(2,3),(4,7),(5,6)] => [(1,3),(2,6),(4,7),(5,8)] => [(1,4),(2,5),(3,7),(6,8)]

[[0,1,0,0],[1,-1,0,1],[0,0,1,0],[0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7)] => [(1,4),(2,3),(5,6),(7,8)] => [(1,3),(2,4),(5,6),(7,8)] => [(1,2),(3,4),(5,7),(6,8)]

[[0,0,1,0],[1,0,-1,1],[0,0,1,0],[0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7)] => [(1,8),(2,3),(4,7),(5,6)] => [(1,3),(2,6),(4,7),(5,8)] => [(1,4),(2,5),(3,7),(6,8)]

[[0,0,0,1],[1,0,0,0],[0,0,1,0],[0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7)] => [(1,8),(2,3),(4,5),(6,7)] => [(1,3),(2,5),(4,7),(6,8)] => [(1,3),(2,5),(4,7),(6,8)]

[[0,1,0,0],[0,0,0,1],[1,-1,1,0],[0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)]

[[0,0,1,0],[0,1,-1,1],[1,-1,1,0],[0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8)] => [(1,2),(3,8),(4,7),(5,6)] => [(1,2),(3,6),(4,7),(5,8)] => [(1,4),(2,5),(3,6),(7,8)]

[[0,0,0,1],[0,1,0,0],[1,-1,1,0],[0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8)] => [(1,2),(3,8),(4,5),(6,7)] => [(1,2),(3,5),(4,7),(6,8)] => [(1,3),(2,5),(4,6),(7,8)]

[[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)]

[[0,0,0,1],[0,0,1,0],[1,0,0,0],[0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8)] => [(1,2),(3,4),(5,8),(6,7)] => [(1,2),(3,4),(5,7),(6,8)] => [(1,3),(2,4),(5,6),(7,8)]

[[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0]] => [(1,2),(3,8),(4,5),(6,7)] => [(1,6),(2,3),(4,5),(7,8)] => [(1,3),(2,5),(4,6),(7,8)] => [(1,2),(3,5),(4,7),(6,8)]

[[0,0,1,0],[0,1,0,0],[0,0,0,1],[1,0,0,0]] => [(1,8),(2,3),(4,5),(6,7)] => [(1,8),(2,3),(4,5),(6,7)] => [(1,3),(2,5),(4,7),(6,8)] => [(1,3),(2,5),(4,7),(6,8)]

[[0,1,0,0],[0,0,0,1],[0,0,1,0],[1,0,0,0]] => [(1,2),(3,4),(5,8),(6,7)] => [(1,4),(2,3),(5,6),(7,8)] => [(1,3),(2,4),(5,6),(7,8)] => [(1,2),(3,4),(5,7),(6,8)]

[[0,0,1,0],[0,1,-1,1],[0,0,1,0],[1,0,0,0]] => [(1,8),(2,5),(3,4),(6,7)] => [(1,8),(2,3),(4,7),(5,6)] => [(1,3),(2,6),(4,7),(5,8)] => [(1,4),(2,5),(3,7),(6,8)]

[[0,0,0,1],[0,1,0,0],[0,0,1,0],[1,0,0,0]] => [(1,8),(2,3),(4,5),(6,7)] => [(1,8),(2,3),(4,5),(6,7)] => [(1,3),(2,5),(4,7),(6,8)] => [(1,3),(2,5),(4,7),(6,8)]

[[0,0,1,0],[0,0,0,1],[0,1,0,0],[1,0,0,0]] => [(1,2),(3,4),(5,8),(6,7)] => [(1,4),(2,3),(5,6),(7,8)] => [(1,3),(2,4),(5,6),(7,8)] => [(1,2),(3,4),(5,7),(6,8)]

[[0,0,0,1],[0,0,1,0],[0,1,0,0],[1,0,0,0]] => [(1,4),(2,3),(5,8),(6,7)] => [(1,4),(2,3),(5,8),(6,7)] => [(1,3),(2,4),(5,7),(6,8)] => [(1,3),(2,4),(5,7),(6,8)]

[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,9),(5,10)] => [(1,6),(2,7),(3,8),(4,9),(5,10)]

[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [(1,2),(3,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,9),(8,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [(1,2),(3,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,2),(3,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)]

[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)] => [(1,2),(3,6),(4,8),(5,9),(7,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,9),(8,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [(1,2),(3,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,2),(3,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,2),(3,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,2),(3,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)]

[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,9),(8,10)]

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,3),(2,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,9),(8,10)]

[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,9),(6,10)] => [(1,5),(2,7),(3,8),(4,9),(6,10)]

[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

>>> Load all 8049 entries. <<<

[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => [(1,4),(2,7),(3,8),(5,9),(6,10)]

[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => [(1,3),(2,7),(4,8),(5,9),(6,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [(1,5),(2,6),(3,7),(4,8),(9,10)] => [(1,2),(3,7),(4,8),(5,9),(6,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => [(1,3),(2,7),(4,8),(5,9),(6,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,2),(3,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => [(1,4),(2,7),(3,8),(5,9),(6,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => [(1,4),(2,7),(3,8),(5,9),(6,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => [(1,3),(2,7),(4,8),(5,9),(6,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,2),(3,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,2),(3,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,2),(3,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)]

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,3),(2,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,9),(8,10)]

[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,9),(6,10)] => [(1,5),(2,7),(3,8),(4,9),(6,10)]

[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,9),(6,10)] => [(1,5),(2,7),(3,8),(4,9),(6,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,9),(6,10)] => [(1,5),(2,7),(3,8),(4,9),(6,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => [(1,4),(2,7),(3,8),(5,9),(6,10)]

[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => [(1,4),(2,7),(3,8),(5,9),(6,10)]

[[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => [(1,3),(2,7),(4,8),(5,9),(6,10)]

[[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => [(1,4),(2,7),(3,8),(5,9),(6,10)]

[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,2),(3,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)]

[[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,2),(3,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,2),(3,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,2),(3,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)]

[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,3),(2,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,9),(8,10)]

[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)] => [(1,2),(3,6),(4,8),(5,9),(7,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,9),(8,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [(1,2),(3,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,2),(3,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,2),(3,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,2),(3,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)]

[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,9),(8,10)]

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,3),(2,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,9),(8,10)]

[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => [(1,5),(2,6),(3,8),(4,9),(7,10)]

[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)] => [(1,2),(3,5),(4,8),(6,9),(7,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => [(1,5),(2,6),(3,8),(4,9),(7,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => [(1,5),(2,6),(3,8),(4,9),(7,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => [(1,5),(2,6),(3,7),(4,9),(8,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,9),(8,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => [(1,5),(2,6),(3,7),(4,9),(8,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [(1,2),(3,7),(4,8),(5,9),(6,10)] => [(1,5),(2,6),(3,7),(4,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,2),(3,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,2),(3,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)]

[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,2),(3,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)]

[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => [(1,5),(2,6),(3,7),(4,9),(8,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,9),(8,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,3),(2,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,9),(8,10)]

[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,3),(2,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,9),(8,10)]

[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,2),(3,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,2),(3,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)]

[[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,2),(3,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)]

[[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)]

[[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)]

[[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,2),(3,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,3),(2,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,9),(8,10)]

[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)] => [(1,2),(3,6),(4,8),(5,9),(7,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)] => [(1,2),(3,6),(4,8),(5,9),(7,10)]

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)] => [(1,2),(3,5),(4,8),(6,9),(7,10)]

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => [(1,5),(2,6),(3,8),(4,9),(7,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => [(1,5),(2,6),(3,8),(4,9),(7,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)] => [(1,2),(3,5),(4,8),(6,9),(7,10)]

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => [(1,5),(2,6),(3,8),(4,9),(7,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)]

[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,9),(7,10)]

[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)] => [(1,2),(3,5),(4,8),(6,9),(7,10)]

[[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,4),(2,5),(3,8),(6,9),(7,10)] => [(1,4),(2,5),(3,8),(6,9),(7,10)]

[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,9),(7,10)]

[[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,4),(2,5),(3,8),(6,9),(7,10)] => [(1,4),(2,5),(3,8),(6,9),(7,10)]

[[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,4),(2,5),(3,8),(6,9),(7,10)] => [(1,4),(2,5),(3,8),(6,9),(7,10)]

[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,2),(3,4),(5,8),(6,9),(7,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,2),(3,4),(5,8),(6,9),(7,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,2),(3,4),(5,8),(6,9),(7,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)] => [(1,2),(3,5),(4,8),(6,9),(7,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)] => [(1,2),(3,5),(4,8),(6,9),(7,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,9),(7,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,4),(2,5),(3,8),(6,9),(7,10)] => [(1,4),(2,5),(3,8),(6,9),(7,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,4),(2,5),(3,8),(6,9),(7,10)] => [(1,4),(2,5),(3,8),(6,9),(7,10)]

[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,9),(7,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8)] => [(1,6),(2,5),(3,4),(7,10),(8,9)] => [(1,4),(2,5),(3,6),(7,9),(8,10)] => [(1,3),(2,4),(5,8),(6,9),(7,10)]

[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,9),(7,10)]

[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)]

[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [(1,4),(2,5),(3,8),(6,9),(7,10)] => [(1,4),(2,5),(3,8),(6,9),(7,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)]

[[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)]

[[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)]

[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,2),(3,4),(5,8),(6,9),(7,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)]

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,9),(8,10)]

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,3),(2,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,9),(8,10)]

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => [(1,5),(2,6),(3,7),(4,9),(8,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,9),(8,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,3),(2,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,9),(8,10)]

[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [(1,3),(2,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,9),(8,10)]

[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)]

[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,3),(2,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,9),(8,10)]

[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,3),(2,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,9),(8,10)]

[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)]

[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [(1,3),(2,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,9),(8,10)]

[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)]

[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,9),(8,10)]

[[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,3),(2,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,9),(8,10)]

[[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [(1,3),(2,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,9),(8,10)]

[[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)]

[[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,3),(2,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,9),(8,10)]

[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9)] => [(1,4),(2,3),(5,10),(6,9),(7,8)] => [(1,3),(2,4),(5,8),(6,9),(7,10)] => [(1,4),(2,5),(3,6),(7,9),(8,10)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)]

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)] => [(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)]

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]

[[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,0,0,0,0,1,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

[[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0]] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]

Map

link pattern

Description

Sends an alternating sign matrix to the link pattern of the corresponding fully packed loop configuration.

Map

reverse

Description

The reverse of a perfect matching of $\{1,2,...,n\}$.
This is the perfect matching obtained by replacing $i$ by $n+1-i$.

Map

Kasraoui-Zeng

Description

The Kasraoui-Zeng involution for perfect matchings.
This yields the perfect matching with the number of nestings and crossings exchanged.