- FindStat

Identifier

Mp00143: Dyck paths —inverse promotion⟶ Dyck paths
Mp00146: Dyck paths —to tunnel matching⟶ Perfect matchings
Mp00092: Perfect matchings —to set partition⟶ Set partitions

Images

[1,0] => [1,0] => [(1,2)] => {{1,2}}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 1141 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)] => {{1,14},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13}}

[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12)] => {{1,14},{2,3},{4,5},{6,7},{8,9},{10,13},{11,12}}

[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [(1,14),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13)] => {{1,14},{2,3},{4,5},{6,7},{8,11},{9,10},{12,13}}

[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [(1,14),(2,3),(4,5),(6,7),(8,13),(9,10),(11,12)] => {{1,14},{2,3},{4,5},{6,7},{8,13},{9,10},{11,12}}

[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [(1,14),(2,3),(4,5),(6,7),(8,13),(9,12),(10,11)] => {{1,14},{2,3},{4,5},{6,7},{8,13},{9,12},{10,11}}

[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [(1,14),(2,3),(4,5),(6,9),(7,8),(10,11),(12,13)] => {{1,14},{2,3},{4,5},{6,9},{7,8},{10,11},{12,13}}

[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [(1,14),(2,3),(4,5),(6,9),(7,8),(10,13),(11,12)] => {{1,14},{2,3},{4,5},{6,9},{7,8},{10,13},{11,12}}

[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [(1,14),(2,3),(4,5),(6,11),(7,8),(9,10),(12,13)] => {{1,14},{2,3},{4,5},{6,11},{7,8},{9,10},{12,13}}

[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [(1,14),(2,3),(4,5),(6,13),(7,8),(9,10),(11,12)] => {{1,14},{2,3},{4,5},{6,13},{7,8},{9,10},{11,12}}

[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [(1,14),(2,3),(4,5),(6,13),(7,8),(9,12),(10,11)] => {{1,14},{2,3},{4,5},{6,13},{7,8},{9,12},{10,11}}

[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [(1,14),(2,3),(4,5),(6,11),(7,10),(8,9),(12,13)] => {{1,14},{2,3},{4,5},{6,11},{7,10},{8,9},{12,13}}

[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [(1,14),(2,3),(4,5),(6,13),(7,10),(8,9),(11,12)] => {{1,14},{2,3},{4,5},{6,13},{7,10},{8,9},{11,12}}

[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [(1,14),(2,3),(4,5),(6,13),(7,12),(8,9),(10,11)] => {{1,14},{2,3},{4,5},{6,13},{7,12},{8,9},{10,11}}

[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [(1,14),(2,3),(4,5),(6,13),(7,12),(8,11),(9,10)] => {{1,14},{2,3},{4,5},{6,13},{7,12},{8,11},{9,10}}

[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [(1,14),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13)] => {{1,14},{2,3},{4,7},{5,6},{8,9},{10,11},{12,13}}

[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [(1,14),(2,3),(4,7),(5,6),(8,9),(10,13),(11,12)] => {{1,14},{2,3},{4,7},{5,6},{8,9},{10,13},{11,12}}

[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [(1,14),(2,3),(4,7),(5,6),(8,11),(9,10),(12,13)] => {{1,14},{2,3},{4,7},{5,6},{8,11},{9,10},{12,13}}

[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [(1,14),(2,3),(4,7),(5,6),(8,13),(9,10),(11,12)] => {{1,14},{2,3},{4,7},{5,6},{8,13},{9,10},{11,12}}

[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [(1,14),(2,3),(4,7),(5,6),(8,13),(9,12),(10,11)] => {{1,14},{2,3},{4,7},{5,6},{8,13},{9,12},{10,11}}

[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [(1,14),(2,3),(4,9),(5,6),(7,8),(10,11),(12,13)] => {{1,14},{2,3},{4,9},{5,6},{7,8},{10,11},{12,13}}

[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [(1,14),(2,3),(4,9),(5,6),(7,8),(10,13),(11,12)] => {{1,14},{2,3},{4,9},{5,6},{7,8},{10,13},{11,12}}

[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [(1,14),(2,3),(4,11),(5,6),(7,8),(9,10),(12,13)] => {{1,14},{2,3},{4,11},{5,6},{7,8},{9,10},{12,13}}

[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [(1,14),(2,3),(4,13),(5,6),(7,8),(9,10),(11,12)] => {{1,14},{2,3},{4,13},{5,6},{7,8},{9,10},{11,12}}

[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [(1,14),(2,3),(4,13),(5,6),(7,8),(9,12),(10,11)] => {{1,14},{2,3},{4,13},{5,6},{7,8},{9,12},{10,11}}

[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [(1,14),(2,3),(4,11),(5,6),(7,10),(8,9),(12,13)] => {{1,14},{2,3},{4,11},{5,6},{7,10},{8,9},{12,13}}

[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [(1,14),(2,3),(4,13),(5,6),(7,10),(8,9),(11,12)] => {{1,14},{2,3},{4,13},{5,6},{7,10},{8,9},{11,12}}

[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [(1,14),(2,3),(4,13),(5,6),(7,12),(8,9),(10,11)] => {{1,14},{2,3},{4,13},{5,6},{7,12},{8,9},{10,11}}

[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [(1,14),(2,3),(4,13),(5,6),(7,12),(8,11),(9,10)] => {{1,14},{2,3},{4,13},{5,6},{7,12},{8,11},{9,10}}

[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [(1,14),(2,3),(4,9),(5,8),(6,7),(10,11),(12,13)] => {{1,14},{2,3},{4,9},{5,8},{6,7},{10,11},{12,13}}

[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [(1,14),(2,3),(4,9),(5,8),(6,7),(10,13),(11,12)] => {{1,14},{2,3},{4,9},{5,8},{6,7},{10,13},{11,12}}

[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [(1,14),(2,3),(4,11),(5,8),(6,7),(9,10),(12,13)] => {{1,14},{2,3},{4,11},{5,8},{6,7},{9,10},{12,13}}

[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [(1,14),(2,3),(4,13),(5,8),(6,7),(9,10),(11,12)] => {{1,14},{2,3},{4,13},{5,8},{6,7},{9,10},{11,12}}

[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [(1,14),(2,3),(4,13),(5,8),(6,7),(9,12),(10,11)] => {{1,14},{2,3},{4,13},{5,8},{6,7},{9,12},{10,11}}

[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [(1,14),(2,3),(4,11),(5,10),(6,7),(8,9),(12,13)] => {{1,14},{2,3},{4,11},{5,10},{6,7},{8,9},{12,13}}

[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [(1,14),(2,3),(4,13),(5,10),(6,7),(8,9),(11,12)] => {{1,14},{2,3},{4,13},{5,10},{6,7},{8,9},{11,12}}

[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [(1,14),(2,3),(4,13),(5,12),(6,7),(8,9),(10,11)] => {{1,14},{2,3},{4,13},{5,12},{6,7},{8,9},{10,11}}

[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [(1,14),(2,3),(4,13),(5,12),(6,7),(8,11),(9,10)] => {{1,14},{2,3},{4,13},{5,12},{6,7},{8,11},{9,10}}

[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [(1,14),(2,3),(4,11),(5,10),(6,9),(7,8),(12,13)] => {{1,14},{2,3},{4,11},{5,10},{6,9},{7,8},{12,13}}

[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [(1,14),(2,3),(4,13),(5,10),(6,9),(7,8),(11,12)] => {{1,14},{2,3},{4,13},{5,10},{6,9},{7,8},{11,12}}

[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [(1,14),(2,3),(4,13),(5,12),(6,9),(7,8),(10,11)] => {{1,14},{2,3},{4,13},{5,12},{6,9},{7,8},{10,11}}

[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [(1,14),(2,3),(4,13),(5,12),(6,11),(7,8),(9,10)] => {{1,14},{2,3},{4,13},{5,12},{6,11},{7,8},{9,10}}

[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [(1,14),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9)] => {{1,14},{2,3},{4,13},{5,12},{6,11},{7,10},{8,9}}

[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,14),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13)] => {{1,14},{2,5},{3,4},{6,7},{8,9},{10,11},{12,13}}

[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [(1,14),(2,5),(3,4),(6,7),(8,9),(10,13),(11,12)] => {{1,14},{2,5},{3,4},{6,7},{8,9},{10,13},{11,12}}

[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [(1,14),(2,5),(3,4),(6,7),(8,11),(9,10),(12,13)] => {{1,14},{2,5},{3,4},{6,7},{8,11},{9,10},{12,13}}

[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [(1,14),(2,5),(3,4),(6,7),(8,13),(9,10),(11,12)] => {{1,14},{2,5},{3,4},{6,7},{8,13},{9,10},{11,12}}

[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [(1,14),(2,5),(3,4),(6,7),(8,13),(9,12),(10,11)] => {{1,14},{2,5},{3,4},{6,7},{8,13},{9,12},{10,11}}

[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [(1,14),(2,5),(3,4),(6,9),(7,8),(10,11),(12,13)] => {{1,14},{2,5},{3,4},{6,9},{7,8},{10,11},{12,13}}

[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [(1,14),(2,5),(3,4),(6,9),(7,8),(10,13),(11,12)] => {{1,14},{2,5},{3,4},{6,9},{7,8},{10,13},{11,12}}

[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [(1,14),(2,5),(3,4),(6,11),(7,8),(9,10),(12,13)] => {{1,14},{2,5},{3,4},{6,11},{7,8},{9,10},{12,13}}

[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [(1,14),(2,5),(3,4),(6,13),(7,8),(9,10),(11,12)] => {{1,14},{2,5},{3,4},{6,13},{7,8},{9,10},{11,12}}

[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [(1,14),(2,5),(3,4),(6,13),(7,8),(9,12),(10,11)] => {{1,14},{2,5},{3,4},{6,13},{7,8},{9,12},{10,11}}

[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [(1,14),(2,5),(3,4),(6,11),(7,10),(8,9),(12,13)] => {{1,14},{2,5},{3,4},{6,11},{7,10},{8,9},{12,13}}

[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [(1,14),(2,5),(3,4),(6,13),(7,10),(8,9),(11,12)] => {{1,14},{2,5},{3,4},{6,13},{7,10},{8,9},{11,12}}

[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [(1,14),(2,5),(3,4),(6,13),(7,12),(8,9),(10,11)] => {{1,14},{2,5},{3,4},{6,13},{7,12},{8,9},{10,11}}

[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [(1,14),(2,5),(3,4),(6,13),(7,12),(8,11),(9,10)] => {{1,14},{2,5},{3,4},{6,13},{7,12},{8,11},{9,10}}

[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [(1,14),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13)] => {{1,14},{2,7},{3,4},{5,6},{8,9},{10,11},{12,13}}

[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [(1,14),(2,7),(3,4),(5,6),(8,9),(10,13),(11,12)] => {{1,14},{2,7},{3,4},{5,6},{8,9},{10,13},{11,12}}

[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [(1,14),(2,7),(3,4),(5,6),(8,11),(9,10),(12,13)] => {{1,14},{2,7},{3,4},{5,6},{8,11},{9,10},{12,13}}

[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [(1,14),(2,7),(3,4),(5,6),(8,13),(9,10),(11,12)] => {{1,14},{2,7},{3,4},{5,6},{8,13},{9,10},{11,12}}

[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [(1,14),(2,7),(3,4),(5,6),(8,13),(9,12),(10,11)] => {{1,14},{2,7},{3,4},{5,6},{8,13},{9,12},{10,11}}

[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [(1,14),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13)] => {{1,14},{2,9},{3,4},{5,6},{7,8},{10,11},{12,13}}

[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [(1,14),(2,9),(3,4),(5,6),(7,8),(10,13),(11,12)] => {{1,14},{2,9},{3,4},{5,6},{7,8},{10,13},{11,12}}

[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,14),(2,11),(3,4),(5,6),(7,8),(9,10),(12,13)] => {{1,14},{2,11},{3,4},{5,6},{7,8},{9,10},{12,13}}

[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12)] => {{1,14},{2,13},{3,4},{5,6},{7,8},{9,10},{11,12}}

[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [(1,14),(2,13),(3,4),(5,6),(7,8),(9,12),(10,11)] => {{1,14},{2,13},{3,4},{5,6},{7,8},{9,12},{10,11}}

[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [(1,14),(2,11),(3,4),(5,6),(7,10),(8,9),(12,13)] => {{1,14},{2,11},{3,4},{5,6},{7,10},{8,9},{12,13}}

[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [(1,14),(2,13),(3,4),(5,6),(7,10),(8,9),(11,12)] => {{1,14},{2,13},{3,4},{5,6},{7,10},{8,9},{11,12}}

[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [(1,14),(2,13),(3,4),(5,6),(7,12),(8,9),(10,11)] => {{1,14},{2,13},{3,4},{5,6},{7,12},{8,9},{10,11}}

[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [(1,14),(2,13),(3,4),(5,6),(7,12),(8,11),(9,10)] => {{1,14},{2,13},{3,4},{5,6},{7,12},{8,11},{9,10}}

[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [(1,14),(2,9),(3,4),(5,8),(6,7),(10,11),(12,13)] => {{1,14},{2,9},{3,4},{5,8},{6,7},{10,11},{12,13}}

[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [(1,14),(2,9),(3,4),(5,8),(6,7),(10,13),(11,12)] => {{1,14},{2,9},{3,4},{5,8},{6,7},{10,13},{11,12}}

[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [(1,14),(2,11),(3,4),(5,8),(6,7),(9,10),(12,13)] => {{1,14},{2,11},{3,4},{5,8},{6,7},{9,10},{12,13}}

[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [(1,14),(2,13),(3,4),(5,8),(6,7),(9,10),(11,12)] => {{1,14},{2,13},{3,4},{5,8},{6,7},{9,10},{11,12}}

[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [(1,14),(2,13),(3,4),(5,8),(6,7),(9,12),(10,11)] => {{1,14},{2,13},{3,4},{5,8},{6,7},{9,12},{10,11}}

[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [(1,14),(2,11),(3,4),(5,10),(6,7),(8,9),(12,13)] => {{1,14},{2,11},{3,4},{5,10},{6,7},{8,9},{12,13}}

[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [(1,14),(2,13),(3,4),(5,10),(6,7),(8,9),(11,12)] => {{1,14},{2,13},{3,4},{5,10},{6,7},{8,9},{11,12}}

[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [(1,14),(2,13),(3,4),(5,12),(6,7),(8,9),(10,11)] => {{1,14},{2,13},{3,4},{5,12},{6,7},{8,9},{10,11}}

[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [(1,14),(2,13),(3,4),(5,12),(6,7),(8,11),(9,10)] => {{1,14},{2,13},{3,4},{5,12},{6,7},{8,11},{9,10}}

[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [(1,14),(2,11),(3,4),(5,10),(6,9),(7,8),(12,13)] => {{1,14},{2,11},{3,4},{5,10},{6,9},{7,8},{12,13}}

[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [(1,14),(2,13),(3,4),(5,10),(6,9),(7,8),(11,12)] => {{1,14},{2,13},{3,4},{5,10},{6,9},{7,8},{11,12}}

[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [(1,14),(2,13),(3,4),(5,12),(6,9),(7,8),(10,11)] => {{1,14},{2,13},{3,4},{5,12},{6,9},{7,8},{10,11}}

[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [(1,14),(2,13),(3,4),(5,12),(6,11),(7,8),(9,10)] => {{1,14},{2,13},{3,4},{5,12},{6,11},{7,8},{9,10}}

[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [(1,14),(2,13),(3,4),(5,12),(6,11),(7,10),(8,9)] => {{1,14},{2,13},{3,4},{5,12},{6,11},{7,10},{8,9}}

[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [(1,14),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13)] => {{1,14},{2,7},{3,6},{4,5},{8,9},{10,11},{12,13}}

[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [(1,14),(2,7),(3,6),(4,5),(8,9),(10,13),(11,12)] => {{1,14},{2,7},{3,6},{4,5},{8,9},{10,13},{11,12}}

[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [(1,14),(2,7),(3,6),(4,5),(8,11),(9,10),(12,13)] => {{1,14},{2,7},{3,6},{4,5},{8,11},{9,10},{12,13}}

[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [(1,14),(2,7),(3,6),(4,5),(8,13),(9,10),(11,12)] => {{1,14},{2,7},{3,6},{4,5},{8,13},{9,10},{11,12}}

[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [(1,14),(2,7),(3,6),(4,5),(8,13),(9,12),(10,11)] => {{1,14},{2,7},{3,6},{4,5},{8,13},{9,12},{10,11}}

[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [(1,14),(2,9),(3,6),(4,5),(7,8),(10,11),(12,13)] => {{1,14},{2,9},{3,6},{4,5},{7,8},{10,11},{12,13}}

[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [(1,14),(2,9),(3,6),(4,5),(7,8),(10,13),(11,12)] => {{1,14},{2,9},{3,6},{4,5},{7,8},{10,13},{11,12}}

[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [(1,14),(2,11),(3,6),(4,5),(7,8),(9,10),(12,13)] => {{1,14},{2,11},{3,6},{4,5},{7,8},{9,10},{12,13}}

[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [(1,14),(2,13),(3,6),(4,5),(7,8),(9,10),(11,12)] => {{1,14},{2,13},{3,6},{4,5},{7,8},{9,10},{11,12}}

[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [(1,14),(2,13),(3,6),(4,5),(7,8),(9,12),(10,11)] => {{1,14},{2,13},{3,6},{4,5},{7,8},{9,12},{10,11}}

[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [(1,14),(2,11),(3,6),(4,5),(7,10),(8,9),(12,13)] => {{1,14},{2,11},{3,6},{4,5},{7,10},{8,9},{12,13}}

[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [(1,14),(2,13),(3,6),(4,5),(7,10),(8,9),(11,12)] => {{1,14},{2,13},{3,6},{4,5},{7,10},{8,9},{11,12}}

[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [(1,14),(2,13),(3,6),(4,5),(7,12),(8,9),(10,11)] => {{1,14},{2,13},{3,6},{4,5},{7,12},{8,9},{10,11}}

[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [(1,14),(2,13),(3,6),(4,5),(7,12),(8,11),(9,10)] => {{1,14},{2,13},{3,6},{4,5},{7,12},{8,11},{9,10}}

[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [(1,14),(2,9),(3,8),(4,5),(6,7),(10,11),(12,13)] => {{1,14},{2,9},{3,8},{4,5},{6,7},{10,11},{12,13}}

[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [(1,14),(2,9),(3,8),(4,5),(6,7),(10,13),(11,12)] => {{1,14},{2,9},{3,8},{4,5},{6,7},{10,13},{11,12}}

[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [(1,14),(2,11),(3,8),(4,5),(6,7),(9,10),(12,13)] => {{1,14},{2,11},{3,8},{4,5},{6,7},{9,10},{12,13}}

[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [(1,14),(2,13),(3,8),(4,5),(6,7),(9,10),(11,12)] => {{1,14},{2,13},{3,8},{4,5},{6,7},{9,10},{11,12}}

[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [(1,14),(2,13),(3,8),(4,5),(6,7),(9,12),(10,11)] => {{1,14},{2,13},{3,8},{4,5},{6,7},{9,12},{10,11}}

[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [(1,14),(2,11),(3,10),(4,5),(6,7),(8,9),(12,13)] => {{1,14},{2,11},{3,10},{4,5},{6,7},{8,9},{12,13}}

[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [(1,14),(2,13),(3,10),(4,5),(6,7),(8,9),(11,12)] => {{1,14},{2,13},{3,10},{4,5},{6,7},{8,9},{11,12}}

[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,14),(2,13),(3,12),(4,5),(6,7),(8,9),(10,11)] => {{1,14},{2,13},{3,12},{4,5},{6,7},{8,9},{10,11}}

[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [(1,14),(2,13),(3,12),(4,5),(6,7),(8,11),(9,10)] => {{1,14},{2,13},{3,12},{4,5},{6,7},{8,11},{9,10}}

[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [(1,14),(2,11),(3,10),(4,5),(6,9),(7,8),(12,13)] => {{1,14},{2,11},{3,10},{4,5},{6,9},{7,8},{12,13}}

[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [(1,14),(2,13),(3,10),(4,5),(6,9),(7,8),(11,12)] => {{1,14},{2,13},{3,10},{4,5},{6,9},{7,8},{11,12}}

[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [(1,14),(2,13),(3,12),(4,5),(6,9),(7,8),(10,11)] => {{1,14},{2,13},{3,12},{4,5},{6,9},{7,8},{10,11}}

[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [(1,14),(2,13),(3,12),(4,5),(6,11),(7,8),(9,10)] => {{1,14},{2,13},{3,12},{4,5},{6,11},{7,8},{9,10}}

[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9)] => {{1,14},{2,13},{3,12},{4,5},{6,11},{7,10},{8,9}}

[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [(1,14),(2,9),(3,8),(4,7),(5,6),(10,11),(12,13)] => {{1,14},{2,9},{3,8},{4,7},{5,6},{10,11},{12,13}}

[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [(1,14),(2,9),(3,8),(4,7),(5,6),(10,13),(11,12)] => {{1,14},{2,9},{3,8},{4,7},{5,6},{10,13},{11,12}}

[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [(1,14),(2,11),(3,8),(4,7),(5,6),(9,10),(12,13)] => {{1,14},{2,11},{3,8},{4,7},{5,6},{9,10},{12,13}}

[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [(1,14),(2,13),(3,8),(4,7),(5,6),(9,10),(11,12)] => {{1,14},{2,13},{3,8},{4,7},{5,6},{9,10},{11,12}}

[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [(1,14),(2,13),(3,8),(4,7),(5,6),(9,12),(10,11)] => {{1,14},{2,13},{3,8},{4,7},{5,6},{9,12},{10,11}}

[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [(1,14),(2,11),(3,10),(4,7),(5,6),(8,9),(12,13)] => {{1,14},{2,11},{3,10},{4,7},{5,6},{8,9},{12,13}}

[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [(1,14),(2,13),(3,10),(4,7),(5,6),(8,9),(11,12)] => {{1,14},{2,13},{3,10},{4,7},{5,6},{8,9},{11,12}}

[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [(1,14),(2,13),(3,12),(4,7),(5,6),(8,9),(10,11)] => {{1,14},{2,13},{3,12},{4,7},{5,6},{8,9},{10,11}}

[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [(1,14),(2,13),(3,12),(4,7),(5,6),(8,11),(9,10)] => {{1,14},{2,13},{3,12},{4,7},{5,6},{8,11},{9,10}}

[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [(1,14),(2,11),(3,10),(4,9),(5,6),(7,8),(12,13)] => {{1,14},{2,11},{3,10},{4,9},{5,6},{7,8},{12,13}}

[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [(1,14),(2,13),(3,10),(4,9),(5,6),(7,8),(11,12)] => {{1,14},{2,13},{3,10},{4,9},{5,6},{7,8},{11,12}}

[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [(1,14),(2,13),(3,12),(4,9),(5,6),(7,8),(10,11)] => {{1,14},{2,13},{3,12},{4,9},{5,6},{7,8},{10,11}}

[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10)] => {{1,14},{2,13},{3,12},{4,11},{5,6},{7,8},{9,10}}

[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9)] => {{1,14},{2,13},{3,12},{4,11},{5,6},{7,10},{8,9}}

[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13)] => {{1,14},{2,11},{3,10},{4,9},{5,8},{6,7},{12,13}}

[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [(1,14),(2,13),(3,10),(4,9),(5,8),(6,7),(11,12)] => {{1,14},{2,13},{3,10},{4,9},{5,8},{6,7},{11,12}}

[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11)] => {{1,14},{2,13},{3,12},{4,9},{5,8},{6,7},{10,11}}

[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10)] => {{1,14},{2,13},{3,12},{4,11},{5,8},{6,7},{9,10}}

[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9)] => {{1,14},{2,13},{3,12},{4,11},{5,10},{6,7},{8,9}}

[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8)] => {{1,14},{2,13},{3,12},{4,11},{5,10},{6,9},{7,8}}

[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,14),(4,5),(6,7),(8,9),(10,11),(12,13)] => {{1,2},{3,14},{4,5},{6,7},{8,9},{10,11},{12,13}}

[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,14),(4,5),(6,7),(8,9),(10,13),(11,12)] => {{1,2},{3,14},{4,5},{6,7},{8,9},{10,13},{11,12}}

[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [(1,2),(3,14),(4,5),(6,7),(8,11),(9,10),(12,13)] => {{1,2},{3,14},{4,5},{6,7},{8,11},{9,10},{12,13}}

[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [(1,2),(3,14),(4,5),(6,7),(8,13),(9,10),(11,12)] => {{1,2},{3,14},{4,5},{6,7},{8,13},{9,10},{11,12}}

[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [(1,2),(3,14),(4,5),(6,7),(8,13),(9,12),(10,11)] => {{1,2},{3,14},{4,5},{6,7},{8,13},{9,12},{10,11}}

[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [(1,2),(3,14),(4,5),(6,9),(7,8),(10,11),(12,13)] => {{1,2},{3,14},{4,5},{6,9},{7,8},{10,11},{12,13}}

[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [(1,2),(3,14),(4,5),(6,9),(7,8),(10,13),(11,12)] => {{1,2},{3,14},{4,5},{6,9},{7,8},{10,13},{11,12}}

[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [(1,2),(3,14),(4,5),(6,11),(7,8),(9,10),(12,13)] => {{1,2},{3,14},{4,5},{6,11},{7,8},{9,10},{12,13}}

[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [(1,2),(3,14),(4,5),(6,13),(7,8),(9,10),(11,12)] => {{1,2},{3,14},{4,5},{6,13},{7,8},{9,10},{11,12}}

[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [(1,2),(3,14),(4,5),(6,13),(7,8),(9,12),(10,11)] => {{1,2},{3,14},{4,5},{6,13},{7,8},{9,12},{10,11}}

[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [(1,2),(3,14),(4,5),(6,11),(7,10),(8,9),(12,13)] => {{1,2},{3,14},{4,5},{6,11},{7,10},{8,9},{12,13}}

[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [(1,2),(3,14),(4,5),(6,13),(7,10),(8,9),(11,12)] => {{1,2},{3,14},{4,5},{6,13},{7,10},{8,9},{11,12}}

[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [(1,2),(3,14),(4,5),(6,13),(7,12),(8,9),(10,11)] => {{1,2},{3,14},{4,5},{6,13},{7,12},{8,9},{10,11}}

[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)] => {{1,2},{3,14},{4,5},{6,13},{7,12},{8,11},{9,10}}

[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [(1,2),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13)] => {{1,2},{3,14},{4,7},{5,6},{8,9},{10,11},{12,13}}

[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [(1,2),(3,14),(4,7),(5,6),(8,9),(10,13),(11,12)] => {{1,2},{3,14},{4,7},{5,6},{8,9},{10,13},{11,12}}

[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [(1,2),(3,14),(4,7),(5,6),(8,11),(9,10),(12,13)] => {{1,2},{3,14},{4,7},{5,6},{8,11},{9,10},{12,13}}

[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [(1,2),(3,14),(4,7),(5,6),(8,13),(9,10),(11,12)] => {{1,2},{3,14},{4,7},{5,6},{8,13},{9,10},{11,12}}

[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [(1,2),(3,14),(4,7),(5,6),(8,13),(9,12),(10,11)] => {{1,2},{3,14},{4,7},{5,6},{8,13},{9,12},{10,11}}

[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [(1,2),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13)] => {{1,2},{3,14},{4,9},{5,6},{7,8},{10,11},{12,13}}

[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [(1,2),(3,14),(4,9),(5,6),(7,8),(10,13),(11,12)] => {{1,2},{3,14},{4,9},{5,6},{7,8},{10,13},{11,12}}

[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [(1,2),(3,14),(4,11),(5,6),(7,8),(9,10),(12,13)] => {{1,2},{3,14},{4,11},{5,6},{7,8},{9,10},{12,13}}

[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,14),(4,13),(5,6),(7,8),(9,10),(11,12)] => {{1,2},{3,14},{4,13},{5,6},{7,8},{9,10},{11,12}}

[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [(1,2),(3,14),(4,13),(5,6),(7,8),(9,12),(10,11)] => {{1,2},{3,14},{4,13},{5,6},{7,8},{9,12},{10,11}}

[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [(1,2),(3,14),(4,11),(5,6),(7,10),(8,9),(12,13)] => {{1,2},{3,14},{4,11},{5,6},{7,10},{8,9},{12,13}}

[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [(1,2),(3,14),(4,13),(5,6),(7,10),(8,9),(11,12)] => {{1,2},{3,14},{4,13},{5,6},{7,10},{8,9},{11,12}}

[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11)] => {{1,2},{3,14},{4,13},{5,6},{7,12},{8,9},{10,11}}

[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)] => {{1,2},{3,14},{4,13},{5,6},{7,12},{8,11},{9,10}}

[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [(1,2),(3,14),(4,9),(5,8),(6,7),(10,11),(12,13)] => {{1,2},{3,14},{4,9},{5,8},{6,7},{10,11},{12,13}}

[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [(1,2),(3,14),(4,9),(5,8),(6,7),(10,13),(11,12)] => {{1,2},{3,14},{4,9},{5,8},{6,7},{10,13},{11,12}}

[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [(1,2),(3,14),(4,11),(5,8),(6,7),(9,10),(12,13)] => {{1,2},{3,14},{4,11},{5,8},{6,7},{9,10},{12,13}}

[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [(1,2),(3,14),(4,13),(5,8),(6,7),(9,10),(11,12)] => {{1,2},{3,14},{4,13},{5,8},{6,7},{9,10},{11,12}}

[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11)] => {{1,2},{3,14},{4,13},{5,8},{6,7},{9,12},{10,11}}

[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [(1,2),(3,14),(4,11),(5,10),(6,7),(8,9),(12,13)] => {{1,2},{3,14},{4,11},{5,10},{6,7},{8,9},{12,13}}

[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12)] => {{1,2},{3,14},{4,13},{5,10},{6,7},{8,9},{11,12}}

[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)] => {{1,2},{3,14},{4,13},{5,12},{6,7},{8,9},{10,11}}

[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)] => {{1,2},{3,14},{4,13},{5,12},{6,7},{8,11},{9,10}}

[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)] => {{1,2},{3,14},{4,11},{5,10},{6,9},{7,8},{12,13}}

[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)] => {{1,2},{3,14},{4,13},{5,10},{6,9},{7,8},{11,12}}

[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)] => {{1,2},{3,14},{4,13},{5,12},{6,9},{7,8},{10,11}}

[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)] => {{1,2},{3,14},{4,13},{5,12},{6,11},{7,8},{9,10}}

[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)] => {{1,2},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9}}

[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,14),(6,7),(8,9),(10,11),(12,13)] => {{1,2},{3,4},{5,14},{6,7},{8,9},{10,11},{12,13}}

[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,14),(6,7),(8,9),(10,13),(11,12)] => {{1,2},{3,4},{5,14},{6,7},{8,9},{10,13},{11,12}}

[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,14),(6,7),(8,11),(9,10),(12,13)] => {{1,2},{3,4},{5,14},{6,7},{8,11},{9,10},{12,13}}

[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,14),(6,7),(8,13),(9,10),(11,12)] => {{1,2},{3,4},{5,14},{6,7},{8,13},{9,10},{11,12}}

[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,14),(6,7),(8,13),(9,12),(10,11)] => {{1,2},{3,4},{5,14},{6,7},{8,13},{9,12},{10,11}}

[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [(1,2),(3,4),(5,14),(6,9),(7,8),(10,11),(12,13)] => {{1,2},{3,4},{5,14},{6,9},{7,8},{10,11},{12,13}}

[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [(1,2),(3,4),(5,14),(6,9),(7,8),(10,13),(11,12)] => {{1,2},{3,4},{5,14},{6,9},{7,8},{10,13},{11,12}}

[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [(1,2),(3,4),(5,14),(6,11),(7,8),(9,10),(12,13)] => {{1,2},{3,4},{5,14},{6,11},{7,8},{9,10},{12,13}}

[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [(1,2),(3,4),(5,14),(6,13),(7,8),(9,10),(11,12)] => {{1,2},{3,4},{5,14},{6,13},{7,8},{9,10},{11,12}}

[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,4),(5,14),(6,13),(7,8),(9,12),(10,11)] => {{1,2},{3,4},{5,14},{6,13},{7,8},{9,12},{10,11}}

[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,4),(5,14),(6,11),(7,10),(8,9),(12,13)] => {{1,2},{3,4},{5,14},{6,11},{7,10},{8,9},{12,13}}

[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,4),(5,14),(6,13),(7,10),(8,9),(11,12)] => {{1,2},{3,4},{5,14},{6,13},{7,10},{8,9},{11,12}}

[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,4),(5,14),(6,13),(7,12),(8,9),(10,11)] => {{1,2},{3,4},{5,14},{6,13},{7,12},{8,9},{10,11}}

[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10)] => {{1,2},{3,4},{5,14},{6,13},{7,12},{8,11},{9,10}}

[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,14),(8,9),(10,11),(12,13)] => {{1,2},{3,4},{5,6},{7,14},{8,9},{10,11},{12,13}}

[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,14),(8,9),(10,13),(11,12)] => {{1,2},{3,4},{5,6},{7,14},{8,9},{10,13},{11,12}}

[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,6),(7,14),(8,11),(9,10),(12,13)] => {{1,2},{3,4},{5,6},{7,14},{8,11},{9,10},{12,13}}

[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,6),(7,14),(8,13),(9,10),(11,12)] => {{1,2},{3,4},{5,6},{7,14},{8,13},{9,10},{11,12}}

[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,6),(7,14),(8,13),(9,12),(10,11)] => {{1,2},{3,4},{5,6},{7,14},{8,13},{9,12},{10,11}}

[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,14),(10,11),(12,13)] => {{1,2},{3,4},{5,6},{7,8},{9,14},{10,11},{12,13}}

[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,14),(10,13),(11,12)] => {{1,2},{3,4},{5,6},{7,8},{9,14},{10,13},{11,12}}

[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,14},{12,13}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(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}}

[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,14)] => {{1,2},{3,4},{5,6},{7,8},{9,12},{10,11},{13,14}}

[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,14),(12,13)] => {{1,2},{3,4},{5,6},{7,10},{8,9},{11,14},{12,13}}

[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,14)] => {{1,2},{3,4},{5,6},{7,10},{8,9},{11,12},{13,14}}

[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11),(13,14)] => {{1,2},{3,4},{5,6},{7,12},{8,9},{10,11},{13,14}}

[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10),(13,14)] => {{1,2},{3,4},{5,6},{7,12},{8,11},{9,10},{13,14}}

[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,14),(10,11),(12,13)] => {{1,2},{3,4},{5,8},{6,7},{9,14},{10,11},{12,13}}

[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,14),(10,13),(11,12)] => {{1,2},{3,4},{5,8},{6,7},{9,14},{10,13},{11,12}}

[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,14),(12,13)] => {{1,2},{3,4},{5,8},{6,7},{9,10},{11,14},{12,13}}

[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,14)] => {{1,2},{3,4},{5,8},{6,7},{9,10},{11,12},{13,14}}

[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11),(13,14)] => {{1,2},{3,4},{5,8},{6,7},{9,12},{10,11},{13,14}}

[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,14),(12,13)] => {{1,2},{3,4},{5,10},{6,7},{8,9},{11,14},{12,13}}

[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12),(13,14)] => {{1,2},{3,4},{5,10},{6,7},{8,9},{11,12},{13,14}}

[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11),(13,14)] => {{1,2},{3,4},{5,12},{6,7},{8,9},{10,11},{13,14}}

[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10),(13,14)] => {{1,2},{3,4},{5,12},{6,7},{8,11},{9,10},{13,14}}

[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,14),(12,13)] => {{1,2},{3,4},{5,10},{6,9},{7,8},{11,14},{12,13}}

[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14)] => {{1,2},{3,4},{5,10},{6,9},{7,8},{11,12},{13,14}}

[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11),(13,14)] => {{1,2},{3,4},{5,12},{6,9},{7,8},{10,11},{13,14}}

[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10),(13,14)] => {{1,2},{3,4},{5,12},{6,11},{7,8},{9,10},{13,14}}

[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9),(13,14)] => {{1,2},{3,4},{5,12},{6,11},{7,10},{8,9},{13,14}}

[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,14),(8,9),(10,11),(12,13)] => {{1,2},{3,6},{4,5},{7,14},{8,9},{10,11},{12,13}}

[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,14),(8,9),(10,13),(11,12)] => {{1,2},{3,6},{4,5},{7,14},{8,9},{10,13},{11,12}}

[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [(1,2),(3,6),(4,5),(7,14),(8,11),(9,10),(12,13)] => {{1,2},{3,6},{4,5},{7,14},{8,11},{9,10},{12,13}}

[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [(1,2),(3,6),(4,5),(7,14),(8,13),(9,10),(11,12)] => {{1,2},{3,6},{4,5},{7,14},{8,13},{9,10},{11,12}}

[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [(1,2),(3,6),(4,5),(7,14),(8,13),(9,12),(10,11)] => {{1,2},{3,6},{4,5},{7,14},{8,13},{9,12},{10,11}}

[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,14),(10,11),(12,13)] => {{1,2},{3,6},{4,5},{7,8},{9,14},{10,11},{12,13}}

[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,14),(10,13),(11,12)] => {{1,2},{3,6},{4,5},{7,8},{9,14},{10,13},{11,12}}

[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,14),(12,13)] => {{1,2},{3,6},{4,5},{7,8},{9,10},{11,14},{12,13}}

[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14)] => {{1,2},{3,6},{4,5},{7,8},{9,10},{11,12},{13,14}}

[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11),(13,14)] => {{1,2},{3,6},{4,5},{7,8},{9,12},{10,11},{13,14}}

[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,14),(12,13)] => {{1,2},{3,6},{4,5},{7,10},{8,9},{11,14},{12,13}}

[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12),(13,14)] => {{1,2},{3,6},{4,5},{7,10},{8,9},{11,12},{13,14}}

[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11),(13,14)] => {{1,2},{3,6},{4,5},{7,12},{8,9},{10,11},{13,14}}

[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10),(13,14)] => {{1,2},{3,6},{4,5},{7,12},{8,11},{9,10},{13,14}}

[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,14),(10,11),(12,13)] => {{1,2},{3,8},{4,5},{6,7},{9,14},{10,11},{12,13}}

[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,14),(10,13),(11,12)] => {{1,2},{3,8},{4,5},{6,7},{9,14},{10,13},{11,12}}

[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,14),(12,13)] => {{1,2},{3,8},{4,5},{6,7},{9,10},{11,14},{12,13}}

[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12),(13,14)] => {{1,2},{3,8},{4,5},{6,7},{9,10},{11,12},{13,14}}

[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11),(13,14)] => {{1,2},{3,8},{4,5},{6,7},{9,12},{10,11},{13,14}}

[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,14),(12,13)] => {{1,2},{3,10},{4,5},{6,7},{8,9},{11,14},{12,13}}

[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12),(13,14)] => {{1,2},{3,10},{4,5},{6,7},{8,9},{11,12},{13,14}}

[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11),(13,14)] => {{1,2},{3,12},{4,5},{6,7},{8,9},{10,11},{13,14}}

[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10),(13,14)] => {{1,2},{3,12},{4,5},{6,7},{8,11},{9,10},{13,14}}

[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,14),(12,13)] => {{1,2},{3,10},{4,5},{6,9},{7,8},{11,14},{12,13}}

[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12),(13,14)] => {{1,2},{3,10},{4,5},{6,9},{7,8},{11,12},{13,14}}

[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11),(13,14)] => {{1,2},{3,12},{4,5},{6,9},{7,8},{10,11},{13,14}}

[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10),(13,14)] => {{1,2},{3,12},{4,5},{6,11},{7,8},{9,10},{13,14}}

[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9),(13,14)] => {{1,2},{3,12},{4,5},{6,11},{7,10},{8,9},{13,14}}

[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,14),(10,11),(12,13)] => {{1,2},{3,8},{4,7},{5,6},{9,14},{10,11},{12,13}}

[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,14),(10,13),(11,12)] => {{1,2},{3,8},{4,7},{5,6},{9,14},{10,13},{11,12}}

[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,14),(12,13)] => {{1,2},{3,8},{4,7},{5,6},{9,10},{11,14},{12,13}}

[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14)] => {{1,2},{3,8},{4,7},{5,6},{9,10},{11,12},{13,14}}

[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11),(13,14)] => {{1,2},{3,8},{4,7},{5,6},{9,12},{10,11},{13,14}}

[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,14),(12,13)] => {{1,2},{3,10},{4,7},{5,6},{8,9},{11,14},{12,13}}

[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12),(13,14)] => {{1,2},{3,10},{4,7},{5,6},{8,9},{11,12},{13,14}}

[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11),(13,14)] => {{1,2},{3,12},{4,7},{5,6},{8,9},{10,11},{13,14}}

[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10),(13,14)] => {{1,2},{3,12},{4,7},{5,6},{8,11},{9,10},{13,14}}

[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,14),(12,13)] => {{1,2},{3,10},{4,9},{5,6},{7,8},{11,14},{12,13}}

[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12),(13,14)] => {{1,2},{3,10},{4,9},{5,6},{7,8},{11,12},{13,14}}

[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11),(13,14)] => {{1,2},{3,12},{4,9},{5,6},{7,8},{10,11},{13,14}}

[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10),(13,14)] => {{1,2},{3,12},{4,11},{5,6},{7,8},{9,10},{13,14}}

[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9),(13,14)] => {{1,2},{3,12},{4,11},{5,6},{7,10},{8,9},{13,14}}

[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,14),(12,13)] => {{1,2},{3,10},{4,9},{5,8},{6,7},{11,14},{12,13}}

[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12),(13,14)] => {{1,2},{3,10},{4,9},{5,8},{6,7},{11,12},{13,14}}

[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11),(13,14)] => {{1,2},{3,12},{4,9},{5,8},{6,7},{10,11},{13,14}}

[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10),(13,14)] => {{1,2},{3,12},{4,11},{5,8},{6,7},{9,10},{13,14}}

[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9),(13,14)] => {{1,2},{3,12},{4,11},{5,10},{6,7},{8,9},{13,14}}

[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14)] => {{1,2},{3,12},{4,11},{5,10},{6,9},{7,8},{13,14}}

[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,14),(6,7),(8,9),(10,11),(12,13)] => {{1,4},{2,3},{5,14},{6,7},{8,9},{10,11},{12,13}}

[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,14),(6,7),(8,9),(10,13),(11,12)] => {{1,4},{2,3},{5,14},{6,7},{8,9},{10,13},{11,12}}

[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,14),(6,7),(8,11),(9,10),(12,13)] => {{1,4},{2,3},{5,14},{6,7},{8,11},{9,10},{12,13}}

[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,14),(6,7),(8,13),(9,12),(10,11)] => {{1,4},{2,3},{5,14},{6,7},{8,13},{9,12},{10,11}}

[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [(1,4),(2,3),(5,14),(6,9),(7,8),(10,11),(12,13)] => {{1,4},{2,3},{5,14},{6,9},{7,8},{10,11},{12,13}}

[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [(1,4),(2,3),(5,14),(6,9),(7,8),(10,13),(11,12)] => {{1,4},{2,3},{5,14},{6,9},{7,8},{10,13},{11,12}}

[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [(1,4),(2,3),(5,14),(6,11),(7,8),(9,10),(12,13)] => {{1,4},{2,3},{5,14},{6,11},{7,8},{9,10},{12,13}}

[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,14),(6,13),(7,8),(9,10),(11,12)] => {{1,4},{2,3},{5,14},{6,13},{7,8},{9,10},{11,12}}

[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [(1,4),(2,3),(5,14),(6,13),(7,8),(9,12),(10,11)] => {{1,4},{2,3},{5,14},{6,13},{7,8},{9,12},{10,11}}

[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [(1,4),(2,3),(5,14),(6,11),(7,10),(8,9),(12,13)] => {{1,4},{2,3},{5,14},{6,11},{7,10},{8,9},{12,13}}

[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [(1,4),(2,3),(5,14),(6,13),(7,10),(8,9),(11,12)] => {{1,4},{2,3},{5,14},{6,13},{7,10},{8,9},{11,12}}

[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,14),(6,13),(7,12),(8,9),(10,11)] => {{1,4},{2,3},{5,14},{6,13},{7,12},{8,9},{10,11}}

[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10)] => {{1,4},{2,3},{5,14},{6,13},{7,12},{8,11},{9,10}}

[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,14),(8,9),(10,11),(12,13)] => {{1,4},{2,3},{5,6},{7,14},{8,9},{10,11},{12,13}}

[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,14),(8,9),(10,13),(11,12)] => {{1,4},{2,3},{5,6},{7,14},{8,9},{10,13},{11,12}}

[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,6),(7,14),(8,11),(9,10),(12,13)] => {{1,4},{2,3},{5,6},{7,14},{8,11},{9,10},{12,13}}

[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,6),(7,14),(8,13),(9,10),(11,12)] => {{1,4},{2,3},{5,6},{7,14},{8,13},{9,10},{11,12}}

[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,6),(7,14),(8,13),(9,12),(10,11)] => {{1,4},{2,3},{5,6},{7,14},{8,13},{9,12},{10,11}}

[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,14),(10,11),(12,13)] => {{1,4},{2,3},{5,6},{7,8},{9,14},{10,11},{12,13}}

[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,14),(10,13),(11,12)] => {{1,4},{2,3},{5,6},{7,8},{9,14},{10,13},{11,12}}

[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,14),(12,13)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,14},{12,13}}

[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12},{13,14}}

[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11),(13,14)] => {{1,4},{2,3},{5,6},{7,8},{9,12},{10,11},{13,14}}

[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,14),(12,13)] => {{1,4},{2,3},{5,6},{7,10},{8,9},{11,14},{12,13}}

[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12),(13,14)] => {{1,4},{2,3},{5,6},{7,10},{8,9},{11,12},{13,14}}

[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11),(13,14)] => {{1,4},{2,3},{5,6},{7,12},{8,9},{10,11},{13,14}}

[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10),(13,14)] => {{1,4},{2,3},{5,6},{7,12},{8,11},{9,10},{13,14}}

[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,14),(10,11),(12,13)] => {{1,4},{2,3},{5,8},{6,7},{9,14},{10,11},{12,13}}

[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,14),(10,13),(11,12)] => {{1,4},{2,3},{5,8},{6,7},{9,14},{10,13},{11,12}}

[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,14),(12,13)] => {{1,4},{2,3},{5,8},{6,7},{9,10},{11,14},{12,13}}

[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12),(13,14)] => {{1,4},{2,3},{5,8},{6,7},{9,10},{11,12},{13,14}}

[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11),(13,14)] => {{1,4},{2,3},{5,8},{6,7},{9,12},{10,11},{13,14}}

[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,14),(12,13)] => {{1,4},{2,3},{5,10},{6,7},{8,9},{11,14},{12,13}}

[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12),(13,14)] => {{1,4},{2,3},{5,10},{6,7},{8,9},{11,12},{13,14}}

[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11),(13,14)] => {{1,4},{2,3},{5,12},{6,7},{8,9},{10,11},{13,14}}

[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10),(13,14)] => {{1,4},{2,3},{5,12},{6,7},{8,11},{9,10},{13,14}}

[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,14),(12,13)] => {{1,4},{2,3},{5,10},{6,9},{7,8},{11,14},{12,13}}

[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12),(13,14)] => {{1,4},{2,3},{5,10},{6,9},{7,8},{11,12},{13,14}}

[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11),(13,14)] => {{1,4},{2,3},{5,12},{6,9},{7,8},{10,11},{13,14}}

[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10),(13,14)] => {{1,4},{2,3},{5,12},{6,11},{7,8},{9,10},{13,14}}

[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9),(13,14)] => {{1,4},{2,3},{5,12},{6,11},{7,10},{8,9},{13,14}}

[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,14),(8,9),(10,11),(12,13)] => {{1,6},{2,3},{4,5},{7,14},{8,9},{10,11},{12,13}}

[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [(1,6),(2,3),(4,5),(7,14),(8,9),(10,13),(11,12)] => {{1,6},{2,3},{4,5},{7,14},{8,9},{10,13},{11,12}}

[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [(1,6),(2,3),(4,5),(7,14),(8,11),(9,10),(12,13)] => {{1,6},{2,3},{4,5},{7,14},{8,11},{9,10},{12,13}}

[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [(1,6),(2,3),(4,5),(7,14),(8,13),(9,10),(11,12)] => {{1,6},{2,3},{4,5},{7,14},{8,13},{9,10},{11,12}}

[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,6),(2,3),(4,5),(7,14),(8,13),(9,12),(10,11)] => {{1,6},{2,3},{4,5},{7,14},{8,13},{9,12},{10,11}}

[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,14),(10,11),(12,13)] => {{1,6},{2,3},{4,5},{7,8},{9,14},{10,11},{12,13}}

[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,14),(10,13),(11,12)] => {{1,6},{2,3},{4,5},{7,8},{9,14},{10,13},{11,12}}

[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,14),(12,13)] => {{1,6},{2,3},{4,5},{7,8},{9,10},{11,14},{12,13}}

[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14)] => {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12},{13,14}}

[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11),(13,14)] => {{1,6},{2,3},{4,5},{7,8},{9,12},{10,11},{13,14}}

[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,14),(12,13)] => {{1,6},{2,3},{4,5},{7,10},{8,9},{11,14},{12,13}}

[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12),(13,14)] => {{1,6},{2,3},{4,5},{7,10},{8,9},{11,12},{13,14}}

[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11),(13,14)] => {{1,6},{2,3},{4,5},{7,12},{8,9},{10,11},{13,14}}

[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10),(13,14)] => {{1,6},{2,3},{4,5},{7,12},{8,11},{9,10},{13,14}}

[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,14),(10,11),(12,13)] => {{1,8},{2,3},{4,5},{6,7},{9,14},{10,11},{12,13}}

[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,14),(10,13),(11,12)] => {{1,8},{2,3},{4,5},{6,7},{9,14},{10,13},{11,12}}

[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,14),(12,13)] => {{1,8},{2,3},{4,5},{6,7},{9,10},{11,14},{12,13}}

[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12),(13,14)] => {{1,8},{2,3},{4,5},{6,7},{9,10},{11,12},{13,14}}

[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11),(13,14)] => {{1,8},{2,3},{4,5},{6,7},{9,12},{10,11},{13,14}}

[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,14),(12,13)] => {{1,10},{2,3},{4,5},{6,7},{8,9},{11,14},{12,13}}

[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14)] => {{1,10},{2,3},{4,5},{6,7},{8,9},{11,12},{13,14}}

[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,14)] => {{1,12},{2,3},{4,5},{6,7},{8,9},{10,11},{13,14}}

[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10),(13,14)] => {{1,12},{2,3},{4,5},{6,7},{8,11},{9,10},{13,14}}

[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,14),(12,13)] => {{1,10},{2,3},{4,5},{6,9},{7,8},{11,14},{12,13}}

[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12),(13,14)] => {{1,10},{2,3},{4,5},{6,9},{7,8},{11,12},{13,14}}

[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11),(13,14)] => {{1,12},{2,3},{4,5},{6,9},{7,8},{10,11},{13,14}}

[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10),(13,14)] => {{1,12},{2,3},{4,5},{6,11},{7,8},{9,10},{13,14}}

[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9),(13,14)] => {{1,12},{2,3},{4,5},{6,11},{7,10},{8,9},{13,14}}

[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [(1,8),(2,3),(4,7),(5,6),(9,14),(10,11),(12,13)] => {{1,8},{2,3},{4,7},{5,6},{9,14},{10,11},{12,13}}

[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [(1,8),(2,3),(4,7),(5,6),(9,14),(10,13),(11,12)] => {{1,8},{2,3},{4,7},{5,6},{9,14},{10,13},{11,12}}

[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,14),(12,13)] => {{1,8},{2,3},{4,7},{5,6},{9,10},{11,14},{12,13}}

[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12),(13,14)] => {{1,8},{2,3},{4,7},{5,6},{9,10},{11,12},{13,14}}

[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11),(13,14)] => {{1,8},{2,3},{4,7},{5,6},{9,12},{10,11},{13,14}}

[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,14),(12,13)] => {{1,10},{2,3},{4,7},{5,6},{8,9},{11,14},{12,13}}

[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12),(13,14)] => {{1,10},{2,3},{4,7},{5,6},{8,9},{11,12},{13,14}}

[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11),(13,14)] => {{1,12},{2,3},{4,7},{5,6},{8,9},{10,11},{13,14}}

[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10),(13,14)] => {{1,12},{2,3},{4,7},{5,6},{8,11},{9,10},{13,14}}

[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,14),(12,13)] => {{1,10},{2,3},{4,9},{5,6},{7,8},{11,14},{12,13}}

[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12),(13,14)] => {{1,10},{2,3},{4,9},{5,6},{7,8},{11,12},{13,14}}

[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11),(13,14)] => {{1,12},{2,3},{4,9},{5,6},{7,8},{10,11},{13,14}}

[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10),(13,14)] => {{1,12},{2,3},{4,11},{5,6},{7,8},{9,10},{13,14}}

[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9),(13,14)] => {{1,12},{2,3},{4,11},{5,6},{7,10},{8,9},{13,14}}

[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,14),(12,13)] => {{1,10},{2,3},{4,9},{5,8},{6,7},{11,14},{12,13}}

[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12),(13,14)] => {{1,10},{2,3},{4,9},{5,8},{6,7},{11,12},{13,14}}

[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11),(13,14)] => {{1,12},{2,3},{4,9},{5,8},{6,7},{10,11},{13,14}}

[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10),(13,14)] => {{1,12},{2,3},{4,11},{5,8},{6,7},{9,10},{13,14}}

[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9),(13,14)] => {{1,12},{2,3},{4,11},{5,10},{6,7},{8,9},{13,14}}

[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,14)] => {{1,12},{2,3},{4,11},{5,10},{6,9},{7,8},{13,14}}

[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [(1,6),(2,5),(3,4),(7,14),(8,9),(10,11),(12,13)] => {{1,6},{2,5},{3,4},{7,14},{8,9},{10,11},{12,13}}

[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [(1,6),(2,5),(3,4),(7,14),(8,9),(10,13),(11,12)] => {{1,6},{2,5},{3,4},{7,14},{8,9},{10,13},{11,12}}

[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [(1,6),(2,5),(3,4),(7,14),(8,11),(9,10),(12,13)] => {{1,6},{2,5},{3,4},{7,14},{8,11},{9,10},{12,13}}

[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [(1,6),(2,5),(3,4),(7,14),(8,13),(9,10),(11,12)] => {{1,6},{2,5},{3,4},{7,14},{8,13},{9,10},{11,12}}

[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [(1,6),(2,5),(3,4),(7,14),(8,13),(9,12),(10,11)] => {{1,6},{2,5},{3,4},{7,14},{8,13},{9,12},{10,11}}

[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,14),(10,11),(12,13)] => {{1,6},{2,5},{3,4},{7,8},{9,14},{10,11},{12,13}}

[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,14),(10,13),(11,12)] => {{1,6},{2,5},{3,4},{7,8},{9,14},{10,13},{11,12}}

[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,14),(12,13)] => {{1,6},{2,5},{3,4},{7,8},{9,10},{11,14},{12,13}}

[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14)] => {{1,6},{2,5},{3,4},{7,8},{9,10},{11,12},{13,14}}

[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11),(13,14)] => {{1,6},{2,5},{3,4},{7,8},{9,12},{10,11},{13,14}}

[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,14),(12,13)] => {{1,6},{2,5},{3,4},{7,10},{8,9},{11,14},{12,13}}

[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12),(13,14)] => {{1,6},{2,5},{3,4},{7,10},{8,9},{11,12},{13,14}}

[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11),(13,14)] => {{1,6},{2,5},{3,4},{7,12},{8,9},{10,11},{13,14}}

[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10),(13,14)] => {{1,6},{2,5},{3,4},{7,12},{8,11},{9,10},{13,14}}

[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,14),(10,11),(12,13)] => {{1,8},{2,5},{3,4},{6,7},{9,14},{10,11},{12,13}}

[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,14),(10,13),(11,12)] => {{1,8},{2,5},{3,4},{6,7},{9,14},{10,13},{11,12}}

[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,14),(12,13)] => {{1,8},{2,5},{3,4},{6,7},{9,10},{11,14},{12,13}}

[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12),(13,14)] => {{1,8},{2,5},{3,4},{6,7},{9,10},{11,12},{13,14}}

[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11),(13,14)] => {{1,8},{2,5},{3,4},{6,7},{9,12},{10,11},{13,14}}

[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,14),(12,13)] => {{1,10},{2,5},{3,4},{6,7},{8,9},{11,14},{12,13}}

[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12),(13,14)] => {{1,10},{2,5},{3,4},{6,7},{8,9},{11,12},{13,14}}

[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11),(13,14)] => {{1,12},{2,5},{3,4},{6,7},{8,9},{10,11},{13,14}}

[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10),(13,14)] => {{1,12},{2,5},{3,4},{6,7},{8,11},{9,10},{13,14}}

[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,14),(12,13)] => {{1,10},{2,5},{3,4},{6,9},{7,8},{11,14},{12,13}}

[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12),(13,14)] => {{1,10},{2,5},{3,4},{6,9},{7,8},{11,12},{13,14}}

[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11),(13,14)] => {{1,12},{2,5},{3,4},{6,9},{7,8},{10,11},{13,14}}

[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10),(13,14)] => {{1,12},{2,5},{3,4},{6,11},{7,8},{9,10},{13,14}}

[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9),(13,14)] => {{1,12},{2,5},{3,4},{6,11},{7,10},{8,9},{13,14}}

[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,14),(10,11),(12,13)] => {{1,8},{2,7},{3,4},{5,6},{9,14},{10,11},{12,13}}

[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,14),(10,13),(11,12)] => {{1,8},{2,7},{3,4},{5,6},{9,14},{10,13},{11,12}}

[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,14),(12,13)] => {{1,8},{2,7},{3,4},{5,6},{9,10},{11,14},{12,13}}

[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12),(13,14)] => {{1,8},{2,7},{3,4},{5,6},{9,10},{11,12},{13,14}}

[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11),(13,14)] => {{1,8},{2,7},{3,4},{5,6},{9,12},{10,11},{13,14}}

[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,14),(12,13)] => {{1,10},{2,7},{3,4},{5,6},{8,9},{11,14},{12,13}}

[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12),(13,14)] => {{1,10},{2,7},{3,4},{5,6},{8,9},{11,12},{13,14}}

[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11),(13,14)] => {{1,12},{2,7},{3,4},{5,6},{8,9},{10,11},{13,14}}

[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10),(13,14)] => {{1,12},{2,7},{3,4},{5,6},{8,11},{9,10},{13,14}}

[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,14),(12,13)] => {{1,10},{2,9},{3,4},{5,6},{7,8},{11,14},{12,13}}

[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12),(13,14)] => {{1,10},{2,9},{3,4},{5,6},{7,8},{11,12},{13,14}}

[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11),(13,14)] => {{1,12},{2,9},{3,4},{5,6},{7,8},{10,11},{13,14}}

[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10),(13,14)] => {{1,12},{2,11},{3,4},{5,6},{7,8},{9,10},{13,14}}

[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9),(13,14)] => {{1,12},{2,11},{3,4},{5,6},{7,10},{8,9},{13,14}}

[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,14),(12,13)] => {{1,10},{2,9},{3,4},{5,8},{6,7},{11,14},{12,13}}

[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12),(13,14)] => {{1,10},{2,9},{3,4},{5,8},{6,7},{11,12},{13,14}}

[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11),(13,14)] => {{1,12},{2,9},{3,4},{5,8},{6,7},{10,11},{13,14}}

[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10),(13,14)] => {{1,12},{2,11},{3,4},{5,8},{6,7},{9,10},{13,14}}

[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9),(13,14)] => {{1,12},{2,11},{3,4},{5,10},{6,7},{8,9},{13,14}}

[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,14)] => {{1,12},{2,11},{3,4},{5,10},{6,9},{7,8},{13,14}}

[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,14),(10,11),(12,13)] => {{1,8},{2,7},{3,6},{4,5},{9,14},{10,11},{12,13}}

[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,14),(10,13),(11,12)] => {{1,8},{2,7},{3,6},{4,5},{9,14},{10,13},{11,12}}

[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,14),(12,13)] => {{1,8},{2,7},{3,6},{4,5},{9,10},{11,14},{12,13}}

[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14)] => {{1,8},{2,7},{3,6},{4,5},{9,10},{11,12},{13,14}}

[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11),(13,14)] => {{1,8},{2,7},{3,6},{4,5},{9,12},{10,11},{13,14}}

[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,14),(12,13)] => {{1,10},{2,7},{3,6},{4,5},{8,9},{11,14},{12,13}}

[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12),(13,14)] => {{1,10},{2,7},{3,6},{4,5},{8,9},{11,12},{13,14}}

[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11),(13,14)] => {{1,12},{2,7},{3,6},{4,5},{8,9},{10,11},{13,14}}

[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10),(13,14)] => {{1,12},{2,7},{3,6},{4,5},{8,11},{9,10},{13,14}}

[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,14),(12,13)] => {{1,10},{2,9},{3,6},{4,5},{7,8},{11,14},{12,13}}

[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12),(13,14)] => {{1,10},{2,9},{3,6},{4,5},{7,8},{11,12},{13,14}}

[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11),(13,14)] => {{1,12},{2,9},{3,6},{4,5},{7,8},{10,11},{13,14}}

[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10),(13,14)] => {{1,12},{2,11},{3,6},{4,5},{7,8},{9,10},{13,14}}

[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9),(13,14)] => {{1,12},{2,11},{3,6},{4,5},{7,10},{8,9},{13,14}}

[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,14),(12,13)] => {{1,10},{2,9},{3,8},{4,5},{6,7},{11,14},{12,13}}

[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12),(13,14)] => {{1,10},{2,9},{3,8},{4,5},{6,7},{11,12},{13,14}}

[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11),(13,14)] => {{1,12},{2,9},{3,8},{4,5},{6,7},{10,11},{13,14}}

[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10),(13,14)] => {{1,12},{2,11},{3,8},{4,5},{6,7},{9,10},{13,14}}

[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9),(13,14)] => {{1,12},{2,11},{3,10},{4,5},{6,7},{8,9},{13,14}}

[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,14)] => {{1,12},{2,11},{3,10},{4,5},{6,9},{7,8},{13,14}}

[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,14),(12,13)] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11,14},{12,13}}

[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14)] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11,12},{13,14}}

[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14)] => {{1,12},{2,9},{3,8},{4,7},{5,6},{10,11},{13,14}}

[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14)] => {{1,12},{2,11},{3,8},{4,7},{5,6},{9,10},{13,14}}

[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,14)] => {{1,12},{2,11},{3,10},{4,7},{5,6},{8,9},{13,14}}

[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,14)] => {{1,12},{2,11},{3,10},{4,9},{5,6},{7,8},{13,14}}

[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14)] => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7},{13,14}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)] => {{1,16},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14)] => {{1,16},{2,3},{4,5},{6,7},{8,9},{10,11},{12,15},{13,14}}

[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12),(14,15)] => {{1,16},{2,3},{4,5},{6,7},{8,9},{10,13},{11,12},{14,15}}

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,15),(11,12),(13,14)] => {{1,16},{2,3},{4,5},{6,7},{8,9},{10,15},{11,12},{13,14}}

[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,15),(11,14),(12,13)] => {{1,16},{2,3},{4,5},{6,7},{8,9},{10,15},{11,14},{12,13}}

[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13),(14,15)] => {{1,16},{2,3},{4,5},{6,7},{8,11},{9,10},{12,13},{14,15}}

[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,15),(9,10),(11,12),(13,14)] => {{1,16},{2,3},{4,5},{6,7},{8,15},{9,10},{11,12},{13,14}}

[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,15),(9,10),(11,14),(12,13)] => {{1,16},{2,3},{4,5},{6,7},{8,15},{9,10},{11,14},{12,13}}

[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,15),(9,14),(10,11),(12,13)] => {{1,16},{2,3},{4,5},{6,7},{8,15},{9,14},{10,11},{12,13}}

[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [(1,16),(2,3),(4,5),(6,9),(7,8),(10,11),(12,13),(14,15)] => {{1,16},{2,3},{4,5},{6,9},{7,8},{10,11},{12,13},{14,15}}

[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [(1,16),(2,3),(4,5),(6,15),(7,8),(9,14),(10,11),(12,13)] => {{1,16},{2,3},{4,5},{6,15},{7,8},{9,14},{10,11},{12,13}}

[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [(1,16),(2,3),(4,5),(6,15),(7,14),(8,9),(10,11),(12,13)] => {{1,16},{2,3},{4,5},{6,15},{7,14},{8,9},{10,11},{12,13}}

[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,16),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)] => {{1,16},{2,3},{4,7},{5,6},{8,9},{10,11},{12,13},{14,15}}

[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [(1,16),(2,3),(4,9),(5,6),(7,8),(10,11),(12,13),(14,15)] => {{1,16},{2,3},{4,9},{5,6},{7,8},{10,11},{12,13},{14,15}}

[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,16),(2,3),(4,15),(5,6),(7,8),(9,10),(11,12),(13,14)] => {{1,16},{2,3},{4,15},{5,6},{7,8},{9,10},{11,12},{13,14}}

[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [(1,16),(2,3),(4,15),(5,6),(7,8),(9,10),(11,14),(12,13)] => {{1,16},{2,3},{4,15},{5,6},{7,8},{9,10},{11,14},{12,13}}

[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [(1,16),(2,3),(4,15),(5,6),(7,14),(8,9),(10,11),(12,13)] => {{1,16},{2,3},{4,15},{5,6},{7,14},{8,9},{10,11},{12,13}}

[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,16),(2,3),(4,15),(5,14),(6,7),(8,9),(10,11),(12,13)] => {{1,16},{2,3},{4,15},{5,14},{6,7},{8,9},{10,11},{12,13}}

[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [(1,16),(2,3),(4,11),(5,10),(6,9),(7,8),(12,13),(14,15)] => {{1,16},{2,3},{4,11},{5,10},{6,9},{7,8},{12,13},{14,15}}

[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [(1,16),(2,3),(4,11),(5,10),(6,9),(7,8),(12,15),(13,14)] => {{1,16},{2,3},{4,11},{5,10},{6,9},{7,8},{12,15},{13,14}}

[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [(1,16),(2,3),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)] => {{1,16},{2,3},{4,15},{5,14},{6,13},{7,8},{9,10},{11,12}}

[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [(1,16),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9),(14,15)] => {{1,16},{2,3},{4,13},{5,12},{6,11},{7,10},{8,9},{14,15}}

[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [(1,16),(2,3),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)] => {{1,16},{2,3},{4,15},{5,14},{6,13},{7,10},{8,9},{11,12}}

[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [(1,16),(2,3),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)] => {{1,16},{2,3},{4,15},{5,14},{6,13},{7,12},{8,9},{10,11}}

[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,16),(2,3),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)] => {{1,16},{2,3},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10}}

[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,16),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15)] => {{1,16},{2,5},{3,4},{6,7},{8,9},{10,11},{12,13},{14,15}}

[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [(1,16),(2,5),(3,4),(6,9),(7,8),(10,11),(12,13),(14,15)] => {{1,16},{2,5},{3,4},{6,9},{7,8},{10,11},{12,13},{14,15}}

[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [(1,16),(2,5),(3,4),(6,15),(7,8),(9,10),(11,12),(13,14)] => {{1,16},{2,5},{3,4},{6,15},{7,8},{9,10},{11,12},{13,14}}

[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [(1,16),(2,5),(3,4),(6,15),(7,14),(8,13),(9,10),(11,12)] => {{1,16},{2,5},{3,4},{6,15},{7,14},{8,13},{9,10},{11,12}}

[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,16),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13),(14,15)] => {{1,16},{2,7},{3,4},{5,6},{8,9},{10,11},{12,13},{14,15}}

[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [(1,16),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13),(14,15)] => {{1,16},{2,9},{3,4},{5,6},{7,8},{10,11},{12,13},{14,15}}

[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [(1,16),(2,11),(3,4),(5,6),(7,8),(9,10),(12,15),(13,14)] => {{1,16},{2,11},{3,4},{5,6},{7,8},{9,10},{12,15},{13,14}}

[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,16),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12),(14,15)] => {{1,16},{2,13},{3,4},{5,6},{7,8},{9,10},{11,12},{14,15}}

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,16),(2,15),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => {{1,16},{2,15},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14}}

[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [(1,16),(2,15),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13)] => {{1,16},{2,15},{3,4},{5,6},{7,8},{9,10},{11,14},{12,13}}

[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,7),(8,9),(10,11),(12,13)] => {{1,16},{2,15},{3,4},{5,14},{6,7},{8,9},{10,11},{12,13}}

[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,7),(8,9),(10,13),(11,12)] => {{1,16},{2,15},{3,4},{5,14},{6,7},{8,9},{10,13},{11,12}}

[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [(1,16),(2,15),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14)] => {{1,16},{2,15},{3,4},{5,10},{6,9},{7,8},{11,12},{13,14}}

[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [(1,16),(2,15),(3,4),(5,10),(6,9),(7,8),(11,14),(12,13)] => {{1,16},{2,15},{3,4},{5,10},{6,9},{7,8},{11,14},{12,13}}

[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,13),(7,8),(9,12),(10,11)] => {{1,16},{2,15},{3,4},{5,14},{6,13},{7,8},{9,12},{10,11}}

[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [(1,16),(2,15),(3,4),(5,12),(6,11),(7,10),(8,9),(13,14)] => {{1,16},{2,15},{3,4},{5,12},{6,11},{7,10},{8,9},{13,14}}

[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,13),(7,10),(8,9),(11,12)] => {{1,16},{2,15},{3,4},{5,14},{6,13},{7,10},{8,9},{11,12}}

[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,13),(7,12),(8,9),(10,11)] => {{1,16},{2,15},{3,4},{5,14},{6,13},{7,12},{8,9},{10,11}}

[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10)] => {{1,16},{2,15},{3,4},{5,14},{6,13},{7,12},{8,11},{9,10}}

[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [(1,16),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13),(14,15)] => {{1,16},{2,7},{3,6},{4,5},{8,9},{10,11},{12,13},{14,15}}

[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [(1,16),(2,7),(3,6),(4,5),(8,15),(9,14),(10,11),(12,13)] => {{1,16},{2,7},{3,6},{4,5},{8,15},{9,14},{10,11},{12,13}}

[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [(1,16),(2,13),(3,6),(4,5),(7,8),(9,10),(11,12),(14,15)] => {{1,16},{2,13},{3,6},{4,5},{7,8},{9,10},{11,12},{14,15}}

[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [(1,16),(2,15),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14)] => {{1,16},{2,15},{3,6},{4,5},{7,8},{9,10},{11,12},{13,14}}

[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,6),(4,5),(7,14),(8,9),(10,11),(12,13)] => {{1,16},{2,15},{3,6},{4,5},{7,14},{8,9},{10,11},{12,13}}

[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,6),(4,5),(7,14),(8,13),(9,10),(11,12)] => {{1,16},{2,15},{3,6},{4,5},{7,14},{8,13},{9,10},{11,12}}

[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [(1,16),(2,9),(3,8),(4,5),(6,7),(10,11),(12,13),(14,15)] => {{1,16},{2,9},{3,8},{4,5},{6,7},{10,11},{12,13},{14,15}}

[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [(1,16),(2,11),(3,10),(4,5),(6,7),(8,9),(12,13),(14,15)] => {{1,16},{2,11},{3,10},{4,5},{6,7},{8,9},{12,13},{14,15}}

[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [(1,16),(2,15),(3,10),(4,5),(6,7),(8,9),(11,14),(12,13)] => {{1,16},{2,15},{3,10},{4,5},{6,7},{8,9},{11,14},{12,13}}

[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,5),(6,7),(8,9),(10,11),(14,15)] => {{1,16},{2,13},{3,12},{4,5},{6,7},{8,9},{10,11},{14,15}}

[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,7),(8,9),(10,11),(12,13)] => {{1,16},{2,15},{3,14},{4,5},{6,7},{8,9},{10,11},{12,13}}

[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,7),(8,9),(10,13),(11,12)] => {{1,16},{2,15},{3,14},{4,5},{6,7},{8,9},{10,13},{11,12}}

[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,9),(7,8),(10,11),(12,13)] => {{1,16},{2,15},{3,14},{4,5},{6,9},{7,8},{10,11},{12,13}}

[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,9),(7,8),(10,13),(11,12)] => {{1,16},{2,15},{3,14},{4,5},{6,9},{7,8},{10,13},{11,12}}

[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,13),(7,8),(9,12),(10,11)] => {{1,16},{2,15},{3,14},{4,5},{6,13},{7,8},{9,12},{10,11}}

[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(14,15)] => {{1,16},{2,13},{3,12},{4,5},{6,11},{7,10},{8,9},{14,15}}

[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,11),(7,10),(8,9),(12,13)] => {{1,16},{2,15},{3,14},{4,5},{6,11},{7,10},{8,9},{12,13}}

[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)] => {{1,16},{2,15},{3,14},{4,5},{6,13},{7,12},{8,11},{9,10}}

[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [(1,16),(2,9),(3,8),(4,7),(5,6),(10,15),(11,12),(13,14)] => {{1,16},{2,9},{3,8},{4,7},{5,6},{10,15},{11,12},{13,14}}

[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [(1,16),(2,15),(3,12),(4,7),(5,6),(8,9),(10,11),(13,14)] => {{1,16},{2,15},{3,12},{4,7},{5,6},{8,9},{10,11},{13,14}}

[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13)] => {{1,16},{2,15},{3,14},{4,7},{5,6},{8,9},{10,11},{12,13}}

[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,7),(5,6),(8,13),(9,10),(11,12)] => {{1,16},{2,15},{3,14},{4,7},{5,6},{8,13},{9,10},{11,12}}

[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [(1,16),(2,15),(3,10),(4,9),(5,6),(7,8),(11,14),(12,13)] => {{1,16},{2,15},{3,10},{4,9},{5,6},{7,8},{11,14},{12,13}}

[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13)] => {{1,16},{2,15},{3,14},{4,9},{5,6},{7,8},{10,11},{12,13}}

[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,9),(5,6),(7,8),(10,13),(11,12)] => {{1,16},{2,15},{3,14},{4,9},{5,6},{7,8},{10,13},{11,12}}

[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(14,15)] => {{1,16},{2,13},{3,12},{4,11},{5,6},{7,8},{9,10},{14,15}}

[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,6),(7,8),(9,10),(11,12)] => {{1,16},{2,15},{3,14},{4,13},{5,6},{7,8},{9,10},{11,12}}

[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,6),(7,8),(9,12),(10,11)] => {{1,16},{2,15},{3,14},{4,13},{5,6},{7,8},{9,12},{10,11}}

[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(14,15)] => {{1,16},{2,13},{3,12},{4,11},{5,6},{7,10},{8,9},{14,15}}

[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,6),(7,10),(8,9),(11,12)] => {{1,16},{2,15},{3,14},{4,13},{5,6},{7,10},{8,9},{11,12}}

[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)] => {{1,16},{2,15},{3,14},{4,13},{5,6},{7,12},{8,11},{9,10}}

[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [(1,16),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13),(14,15)] => {{1,16},{2,11},{3,10},{4,9},{5,8},{6,7},{12,13},{14,15}}

[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(14,15)] => {{1,16},{2,13},{3,12},{4,9},{5,8},{6,7},{10,11},{14,15}}

[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(14,15)] => {{1,16},{2,13},{3,12},{4,11},{5,8},{6,7},{9,10},{14,15}}

[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [(1,16),(2,15),(3,12),(4,11),(5,8),(6,7),(9,10),(13,14)] => {{1,16},{2,15},{3,12},{4,11},{5,8},{6,7},{9,10},{13,14}}

[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,11),(5,8),(6,7),(9,10),(12,13)] => {{1,16},{2,15},{3,14},{4,11},{5,8},{6,7},{9,10},{12,13}}

[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,8),(6,7),(9,10),(11,12)] => {{1,16},{2,15},{3,14},{4,13},{5,8},{6,7},{9,10},{11,12}}

[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(14,15)] => {{1,16},{2,13},{3,12},{4,11},{5,10},{6,7},{8,9},{14,15}}

[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,7},{8,9},{10,11}}

[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,7},{8,11},{9,10}}

[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(14,15)] => {{1,16},{2,13},{3,12},{4,11},{5,10},{6,9},{7,8},{14,15}}

[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [(1,16),(2,15),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14)] => {{1,16},{2,15},{3,12},{4,11},{5,10},{6,9},{7,8},{13,14}}

[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)] => {{1,16},{2,15},{3,14},{4,11},{5,10},{6,9},{7,8},{12,13}}

[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)] => {{1,16},{2,15},{3,14},{4,13},{5,10},{6,9},{7,8},{11,12}}

[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,9},{7,8},{10,11}}

[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,11},{7,8},{9,10}}

[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9}}

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)] => {{1,2},{3,16},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15}}

[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14)] => {{1,2},{3,16},{4,5},{6,7},{8,9},{10,11},{12,15},{13,14}}

[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)] => {{1,2},{3,16},{4,7},{5,6},{8,9},{10,11},{12,13},{14,15}}

[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [(1,2),(3,16),(4,9),(5,6),(7,8),(10,11),(12,13),(14,15)] => {{1,2},{3,16},{4,9},{5,6},{7,8},{10,11},{12,13},{14,15}}

[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,6),(7,8),(9,10),(11,12),(14,15)] => {{1,2},{3,16},{4,13},{5,6},{7,8},{9,10},{11,12},{14,15}}

[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,8),(9,10),(11,12),(13,14)] => {{1,2},{3,16},{4,15},{5,6},{7,8},{9,10},{11,12},{13,14}}

[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [(1,2),(3,16),(4,9),(5,8),(6,7),(10,11),(12,13),(14,15)] => {{1,2},{3,16},{4,9},{5,8},{6,7},{10,11},{12,13},{14,15}}

[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,8),(6,7),(9,10),(11,12),(13,14)] => {{1,2},{3,16},{4,15},{5,8},{6,7},{9,10},{11,12},{13,14}}

[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,10),(6,7),(8,9),(11,12),(13,14)] => {{1,2},{3,16},{4,15},{5,10},{6,7},{8,9},{11,12},{13,14}}

[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,12),(6,7),(8,9),(10,11),(14,15)] => {{1,2},{3,16},{4,13},{5,12},{6,7},{8,9},{10,11},{14,15}}

[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,7),(8,9),(10,11),(12,13)] => {{1,2},{3,16},{4,15},{5,14},{6,7},{8,9},{10,11},{12,13}}

[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)] => {{1,2},{3,16},{4,15},{5,14},{6,7},{8,13},{9,12},{10,11}}

[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,10),(6,9),(7,8),(11,12),(13,14)] => {{1,2},{3,16},{4,15},{5,10},{6,9},{7,8},{11,12},{13,14}}

[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,9),(7,8),(10,11),(12,13)] => {{1,2},{3,16},{4,15},{5,14},{6,9},{7,8},{10,11},{12,13}}

[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,11),(7,8),(9,10),(12,13)] => {{1,2},{3,16},{4,15},{5,14},{6,11},{7,8},{9,10},{12,13}}

[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)] => {{1,2},{3,16},{4,15},{5,14},{6,13},{7,8},{9,10},{11,12}}

[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)] => {{1,2},{3,16},{4,15},{5,14},{6,13},{7,8},{9,12},{10,11}}

[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)] => {{1,2},{3,16},{4,15},{5,14},{6,11},{7,10},{8,9},{12,13}}

[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)] => {{1,2},{3,16},{4,15},{5,14},{6,13},{7,10},{8,9},{11,12}}

[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)] => {{1,2},{3,16},{4,15},{5,14},{6,13},{7,12},{8,9},{10,11}}

[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)] => {{1,2},{3,16},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10}}

[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)] => {{1,2},{3,4},{5,16},{6,7},{8,9},{10,11},{12,13},{14,15}}

[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,9),(10,11),(12,15),(13,14)] => {{1,2},{3,4},{5,16},{6,7},{8,9},{10,11},{12,15},{13,14}}

[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)] => {{1,2},{3,4},{5,16},{6,9},{7,8},{10,11},{12,13},{14,15}}

[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [(1,2),(3,4),(5,16),(6,11),(7,8),(9,10),(12,13),(14,15)] => {{1,2},{3,4},{5,16},{6,11},{7,8},{9,10},{12,13},{14,15}}

[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,13),(7,8),(9,10),(11,12),(14,15)] => {{1,2},{3,4},{5,16},{6,13},{7,8},{9,10},{11,12},{14,15}}

[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [(1,2),(3,4),(5,16),(6,11),(7,10),(8,9),(12,13),(14,15)] => {{1,2},{3,4},{5,16},{6,11},{7,10},{8,9},{12,13},{14,15}}

[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,9),(10,11),(12,13)] => {{1,2},{3,4},{5,16},{6,15},{7,14},{8,9},{10,11},{12,13}}

[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)] => {{1,2},{3,4},{5,16},{6,15},{7,14},{8,11},{9,10},{12,13}}

[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => {{1,2},{3,4},{5,16},{6,15},{7,14},{8,13},{9,10},{11,12}}

[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => {{1,2},{3,4},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11}}

[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,9),(10,11),(12,13),(14,15)] => {{1,2},{3,4},{5,6},{7,16},{8,9},{10,11},{12,13},{14,15}}

[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,11),(9,10),(12,13),(14,15)] => {{1,2},{3,4},{5,6},{7,16},{8,11},{9,10},{12,13},{14,15}}

[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,13),(9,10),(11,12),(14,15)] => {{1,2},{3,4},{5,6},{7,16},{8,13},{9,10},{11,12},{14,15}}

[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,13),(9,12),(10,11),(14,15)] => {{1,2},{3,4},{5,6},{7,16},{8,13},{9,12},{10,11},{14,15}}

[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,2},{3,4},{5,6},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,11),(12,13),(14,15)] => {{1,2},{3,4},{5,6},{7,8},{9,16},{10,11},{12,13},{14,15}}

[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,11),(12,15),(13,14)] => {{1,2},{3,4},{5,6},{7,8},{9,16},{10,11},{12,15},{13,14}}

[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,13),(11,12),(14,15)] => {{1,2},{3,4},{5,6},{7,8},{9,16},{10,13},{11,12},{14,15}}

[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,12),(13,14)] => {{1,2},{3,4},{5,6},{7,8},{9,16},{10,15},{11,12},{13,14}}

[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,14),(12,13)] => {{1,2},{3,4},{5,6},{7,8},{9,16},{10,15},{11,14},{12,13}}

[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,16},{12,13},{14,15}}

[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,15),(13,14)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,16},{12,15},{13,14}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,16},{14,15}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(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}}

[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,16),(14,15)] => {{1,2},{3,4},{5,6},{7,8},{9,12},{10,11},{13,16},{14,15}}

[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,14),(15,16)] => {{1,2},{3,4},{5,6},{7,8},{9,12},{10,11},{13,14},{15,16}}

[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,14),(10,11),(12,13),(15,16)] => {{1,2},{3,4},{5,6},{7,8},{9,14},{10,11},{12,13},{15,16}}

[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,14),(10,13),(11,12),(15,16)] => {{1,2},{3,4},{5,6},{7,8},{9,14},{10,13},{11,12},{15,16}}

[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,16),(14,15)] => {{1,2},{3,4},{5,6},{7,10},{8,9},{11,12},{13,16},{14,15}}

[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,16),(10,11),(12,13),(14,15)] => {{1,2},{3,4},{5,8},{6,7},{9,16},{10,11},{12,13},{14,15}}

[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,16),(12,13),(14,15)] => {{1,2},{3,4},{5,8},{6,7},{9,10},{11,16},{12,13},{14,15}}

[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,16),(14,15)] => {{1,2},{3,4},{5,8},{6,7},{9,10},{11,12},{13,16},{14,15}}

[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14),(15,16)] => {{1,2},{3,4},{5,10},{6,9},{7,8},{11,12},{13,14},{15,16}}

[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10),(15,16)] => {{1,2},{3,4},{5,14},{6,13},{7,12},{8,11},{9,10},{15,16}}

[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,16),(12,13),(14,15)] => {{1,2},{3,6},{4,5},{7,8},{9,10},{11,16},{12,13},{14,15}}

[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,16),(14,15)] => {{1,2},{3,6},{4,5},{7,8},{9,10},{11,12},{13,16},{14,15}}

[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,16),(10,15),(11,14),(12,13)] => {{1,2},{3,8},{4,5},{6,7},{9,16},{10,15},{11,14},{12,13}}

[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,16),(12,13),(14,15)] => {{1,2},{3,8},{4,5},{6,7},{9,10},{11,16},{12,13},{14,15}}

[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12),(13,16),(14,15)] => {{1,2},{3,8},{4,5},{6,7},{9,10},{11,12},{13,16},{14,15}}

[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,16),(12,13),(14,15)] => {{1,2},{3,8},{4,7},{5,6},{9,10},{11,16},{12,13},{14,15}}

[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14),(15,16)] => {{1,2},{3,8},{4,7},{5,6},{9,10},{11,12},{13,14},{15,16}}

[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,16),(12,15),(13,14)] => {{1,2},{3,10},{4,9},{5,6},{7,8},{11,16},{12,15},{13,14}}

[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12),(13,14),(15,16)] => {{1,2},{3,10},{4,9},{5,6},{7,8},{11,12},{13,14},{15,16}}

[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [(1,2),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13),(15,16)] => {{1,2},{3,14},{4,9},{5,6},{7,8},{10,11},{12,13},{15,16}}

[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10),(13,14),(15,16)] => {{1,2},{3,12},{4,11},{5,6},{7,8},{9,10},{13,14},{15,16}}

[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,6),(7,8),(9,10),(11,12),(15,16)] => {{1,2},{3,14},{4,13},{5,6},{7,8},{9,10},{11,12},{15,16}}

[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9),(13,16),(14,15)] => {{1,2},{3,12},{4,11},{5,10},{6,7},{8,9},{13,16},{14,15}}

[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,16),(14,15)] => {{1,2},{3,12},{4,11},{5,10},{6,9},{7,8},{13,16},{14,15}}

[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14),(15,16)] => {{1,2},{3,12},{4,11},{5,10},{6,9},{7,8},{13,14},{15,16}}

[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(15,16)] => {{1,2},{3,14},{4,13},{5,12},{6,11},{7,8},{9,10},{15,16}}

[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(15,16)] => {{1,2},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9},{15,16}}

[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)] => {{1,4},{2,3},{5,16},{6,7},{8,9},{10,11},{12,13},{14,15}}

[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,9),(10,15),(11,14),(12,13)] => {{1,4},{2,3},{5,16},{6,7},{8,9},{10,15},{11,14},{12,13}}

[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,15),(9,14),(10,13),(11,12)] => {{1,4},{2,3},{5,16},{6,7},{8,15},{9,14},{10,13},{11,12}}

[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)] => {{1,4},{2,3},{5,16},{6,9},{7,8},{10,11},{12,13},{14,15}}

[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,8),(9,10),(11,12),(13,14)] => {{1,4},{2,3},{5,16},{6,15},{7,8},{9,10},{11,12},{13,14}}

[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,9),(10,11),(12,13)] => {{1,4},{2,3},{5,16},{6,15},{7,14},{8,9},{10,11},{12,13}}

[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,13),(7,12),(8,11),(9,10),(14,15)] => {{1,4},{2,3},{5,16},{6,13},{7,12},{8,11},{9,10},{14,15}}

[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => {{1,4},{2,3},{5,16},{6,15},{7,14},{8,13},{9,10},{11,12}}

[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => {{1,4},{2,3},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11}}

[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,9),(10,11),(12,13),(14,15)] => {{1,4},{2,3},{5,6},{7,16},{8,9},{10,11},{12,13},{14,15}}

[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,10),(11,12),(13,14)] => {{1,4},{2,3},{5,6},{7,16},{8,15},{9,10},{11,12},{13,14}}

[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,14),(10,11),(12,13)] => {{1,4},{2,3},{5,6},{7,16},{8,15},{9,14},{10,11},{12,13}}

[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,4},{2,3},{5,6},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,16),(10,11),(12,13),(14,15)] => {{1,4},{2,3},{5,6},{7,8},{9,16},{10,11},{12,13},{14,15}}

[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,16},{12,13},{14,15}}

[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,16),(12,15),(13,14)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,16},{12,15},{13,14}}

[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12},{13,16},{14,15}}

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16}}

[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,14),(12,13),(15,16)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,14},{12,13},{15,16}}

[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11),(13,14),(15,16)] => {{1,4},{2,3},{5,6},{7,8},{9,12},{10,11},{13,14},{15,16}}

[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12),(13,14),(15,16)] => {{1,4},{2,3},{5,10},{6,9},{7,8},{11,12},{13,14},{15,16}}

[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10),(15,16)] => {{1,4},{2,3},{5,14},{6,13},{7,12},{8,11},{9,10},{15,16}}

[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,6),(2,3),(4,5),(7,16),(8,15),(9,14),(10,11),(12,13)] => {{1,6},{2,3},{4,5},{7,16},{8,15},{9,14},{10,11},{12,13}}

[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,6),(2,3),(4,5),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,6},{2,3},{4,5},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,16),(10,15),(11,14),(12,13)] => {{1,6},{2,3},{4,5},{7,8},{9,16},{10,15},{11,14},{12,13}}

[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,16),(12,13),(14,15)] => {{1,6},{2,3},{4,5},{7,8},{9,10},{11,16},{12,13},{14,15}}

[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,16),(14,15)] => {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12},{13,16},{14,15}}

[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14),(15,16)] => {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12},{13,14},{15,16}}

[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,16),(10,15),(11,14),(12,13)] => {{1,8},{2,3},{4,5},{6,7},{9,16},{10,15},{11,14},{12,13}}

[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,16),(12,15),(13,14)] => {{1,8},{2,3},{4,5},{6,7},{9,10},{11,16},{12,15},{13,14}}

[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12),(13,14),(15,16)] => {{1,8},{2,3},{4,5},{6,7},{9,10},{11,12},{13,14},{15,16}}

[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,16),(12,15),(13,14)] => {{1,10},{2,3},{4,5},{6,7},{8,9},{11,16},{12,15},{13,14}}

[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,16),(14,15)] => {{1,10},{2,3},{4,5},{6,7},{8,9},{11,12},{13,16},{14,15}}

[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16)] => {{1,10},{2,3},{4,5},{6,7},{8,9},{11,12},{13,14},{15,16}}

[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,16),(14,15)] => {{1,12},{2,3},{4,5},{6,7},{8,9},{10,11},{13,16},{14,15}}

[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,14),(15,16)] => {{1,12},{2,3},{4,5},{6,7},{8,9},{10,11},{13,14},{15,16}}

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(15,16)] => {{1,14},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{15,16}}

[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12),(15,16)] => {{1,14},{2,3},{4,5},{6,7},{8,9},{10,13},{11,12},{15,16}}

[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10),(13,14),(15,16)] => {{1,12},{2,3},{4,5},{6,7},{8,11},{9,10},{13,14},{15,16}}

[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,13),(9,10),(11,12),(15,16)] => {{1,14},{2,3},{4,5},{6,7},{8,13},{9,10},{11,12},{15,16}}

[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,13),(9,12),(10,11),(15,16)] => {{1,14},{2,3},{4,5},{6,7},{8,13},{9,12},{10,11},{15,16}}

[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12),(13,14),(15,16)] => {{1,10},{2,3},{4,5},{6,9},{7,8},{11,12},{13,14},{15,16}}

[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10),(13,14),(15,16)] => {{1,12},{2,3},{4,5},{6,11},{7,8},{9,10},{13,14},{15,16}}

[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9),(13,14),(15,16)] => {{1,12},{2,3},{4,5},{6,11},{7,10},{8,9},{13,14},{15,16}}

[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [(1,14),(2,3),(4,5),(6,13),(7,12),(8,11),(9,10),(15,16)] => {{1,14},{2,3},{4,5},{6,13},{7,12},{8,11},{9,10},{15,16}}

[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12),(13,14),(15,16)] => {{1,8},{2,3},{4,7},{5,6},{9,10},{11,12},{13,14},{15,16}}

[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12),(13,14),(15,16)] => {{1,10},{2,3},{4,9},{5,6},{7,8},{11,12},{13,14},{15,16}}

[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10),(13,14),(15,16)] => {{1,12},{2,3},{4,11},{5,6},{7,8},{9,10},{13,14},{15,16}}

[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,14),(2,3),(4,13),(5,6),(7,8),(9,10),(11,12),(15,16)] => {{1,14},{2,3},{4,13},{5,6},{7,8},{9,10},{11,12},{15,16}}

[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12),(13,14),(15,16)] => {{1,10},{2,3},{4,9},{5,8},{6,7},{11,12},{13,14},{15,16}}

[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,16),(14,15)] => {{1,12},{2,3},{4,11},{5,10},{6,9},{7,8},{13,16},{14,15}}

[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [(1,14),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9),(15,16)] => {{1,14},{2,3},{4,13},{5,12},{6,11},{7,10},{8,9},{15,16}}

[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [(1,6),(2,5),(3,4),(7,16),(8,15),(9,10),(11,12),(13,14)] => {{1,6},{2,5},{3,4},{7,16},{8,15},{9,10},{11,12},{13,14}}

[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [(1,6),(2,5),(3,4),(7,16),(8,15),(9,10),(11,14),(12,13)] => {{1,6},{2,5},{3,4},{7,16},{8,15},{9,10},{11,14},{12,13}}

[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,6),(2,5),(3,4),(7,16),(8,15),(9,14),(10,11),(12,13)] => {{1,6},{2,5},{3,4},{7,16},{8,15},{9,14},{10,11},{12,13}}

[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,6),(2,5),(3,4),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,6},{2,5},{3,4},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,16),(10,15),(11,12),(13,14)] => {{1,6},{2,5},{3,4},{7,8},{9,16},{10,15},{11,12},{13,14}}

[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,16),(12,13),(14,15)] => {{1,6},{2,5},{3,4},{7,8},{9,10},{11,16},{12,13},{14,15}}

[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,16),(14,15)] => {{1,6},{2,5},{3,4},{7,8},{9,10},{11,12},{13,16},{14,15}}

[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14),(15,16)] => {{1,6},{2,5},{3,4},{7,8},{9,10},{11,12},{13,14},{15,16}}

[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [(1,6),(2,5),(3,4),(7,14),(8,13),(9,12),(10,11),(15,16)] => {{1,6},{2,5},{3,4},{7,14},{8,13},{9,12},{10,11},{15,16}}

[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,16),(10,15),(11,14),(12,13)] => {{1,8},{2,5},{3,4},{6,7},{9,16},{10,15},{11,14},{12,13}}

[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12),(13,14),(15,16)] => {{1,8},{2,5},{3,4},{6,7},{9,10},{11,12},{13,14},{15,16}}

[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12),(13,14),(15,16)] => {{1,10},{2,5},{3,4},{6,7},{8,9},{11,12},{13,14},{15,16}}

[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11),(13,14),(15,16)] => {{1,12},{2,5},{3,4},{6,7},{8,9},{10,11},{13,14},{15,16}}

[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,14),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(15,16)] => {{1,14},{2,5},{3,4},{6,7},{8,9},{10,11},{12,13},{15,16}}

[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,16),(10,15),(11,14),(12,13)] => {{1,8},{2,7},{3,4},{5,6},{9,16},{10,15},{11,14},{12,13}}

[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12),(13,14),(15,16)] => {{1,8},{2,7},{3,4},{5,6},{9,10},{11,12},{13,14},{15,16}}

[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [(1,14),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13),(15,16)] => {{1,14},{2,7},{3,4},{5,6},{8,9},{10,11},{12,13},{15,16}}

[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12),(13,16),(14,15)] => {{1,10},{2,9},{3,4},{5,6},{7,8},{11,12},{13,16},{14,15}}

[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12),(13,14),(15,16)] => {{1,10},{2,9},{3,4},{5,6},{7,8},{11,12},{13,14},{15,16}}

[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11),(13,16),(14,15)] => {{1,12},{2,9},{3,4},{5,6},{7,8},{10,11},{13,16},{14,15}}

[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11),(13,14),(15,16)] => {{1,12},{2,9},{3,4},{5,6},{7,8},{10,11},{13,14},{15,16}}

[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [(1,14),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13),(15,16)] => {{1,14},{2,9},{3,4},{5,6},{7,8},{10,11},{12,13},{15,16}}

[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10),(13,16),(14,15)] => {{1,12},{2,11},{3,4},{5,6},{7,8},{9,10},{13,16},{14,15}}

[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10),(13,14),(15,16)] => {{1,12},{2,11},{3,4},{5,6},{7,8},{9,10},{13,14},{15,16}}

[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12),(15,16)] => {{1,14},{2,13},{3,4},{5,6},{7,8},{9,10},{11,12},{15,16}}

[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9),(13,16),(14,15)] => {{1,12},{2,11},{3,4},{5,6},{7,10},{8,9},{13,16},{14,15}}

[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,16),(14,15)] => {{1,12},{2,11},{3,4},{5,10},{6,9},{7,8},{13,16},{14,15}}

[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,16),(10,15),(11,12),(13,14)] => {{1,8},{2,7},{3,6},{4,5},{9,16},{10,15},{11,12},{13,14}}

[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,16),(10,15),(11,14),(12,13)] => {{1,8},{2,7},{3,6},{4,5},{9,16},{10,15},{11,14},{12,13}}

[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,16),(12,13),(14,15)] => {{1,8},{2,7},{3,6},{4,5},{9,10},{11,16},{12,13},{14,15}}

[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14),(15,16)] => {{1,8},{2,7},{3,6},{4,5},{9,10},{11,12},{13,14},{15,16}}

[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12),(13,14),(15,16)] => {{1,10},{2,7},{3,6},{4,5},{8,9},{11,12},{13,14},{15,16}}

[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11),(13,14),(15,16)] => {{1,12},{2,7},{3,6},{4,5},{8,9},{10,11},{13,14},{15,16}}

[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [(1,14),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13),(15,16)] => {{1,14},{2,7},{3,6},{4,5},{8,9},{10,11},{12,13},{15,16}}

[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,16),(12,15),(13,14)] => {{1,10},{2,9},{3,6},{4,5},{7,8},{11,16},{12,15},{13,14}}

[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12),(13,14),(15,16)] => {{1,10},{2,9},{3,6},{4,5},{7,8},{11,12},{13,14},{15,16}}

[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,16),(12,15),(13,14)] => {{1,10},{2,9},{3,8},{4,5},{6,7},{11,16},{12,15},{13,14}}

[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(15,16)] => {{1,14},{2,13},{3,12},{4,5},{6,11},{7,10},{8,9},{15,16}}

[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,16),(12,13),(14,15)] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11,16},{12,13},{14,15}}

[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,16),(12,15),(13,14)] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11,16},{12,15},{13,14}}

[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14),(15,16)] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11,12},{13,14},{15,16}}

[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14),(15,16)] => {{1,12},{2,9},{3,8},{4,7},{5,6},{10,11},{13,14},{15,16}}

[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [(1,14),(2,9),(3,8),(4,7),(5,6),(10,11),(12,13),(15,16)] => {{1,14},{2,9},{3,8},{4,7},{5,6},{10,11},{12,13},{15,16}}

[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14),(15,16)] => {{1,12},{2,11},{3,8},{4,7},{5,6},{9,10},{13,14},{15,16}}

[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,16),(14,15)] => {{1,12},{2,11},{3,10},{4,7},{5,6},{8,9},{13,16},{14,15}}

[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,16),(14,15)] => {{1,12},{2,11},{3,10},{4,9},{5,6},{7,8},{13,16},{14,15}}

[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(15,16)] => {{1,14},{2,13},{3,12},{4,11},{5,6},{7,8},{9,10},{15,16}}

[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(15,16)] => {{1,14},{2,13},{3,12},{4,11},{5,6},{7,10},{8,9},{15,16}}

[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,16),(14,15)] => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7},{13,16},{14,15}}

[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14),(15,16)] => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7},{13,14},{15,16}}

[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13),(15,16)] => {{1,14},{2,11},{3,10},{4,9},{5,8},{6,7},{12,13},{15,16}}

[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [(1,14),(2,13),(3,10),(4,9),(5,8),(6,7),(11,12),(15,16)] => {{1,14},{2,13},{3,10},{4,9},{5,8},{6,7},{11,12},{15,16}}

[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(15,16)] => {{1,14},{2,13},{3,12},{4,9},{5,8},{6,7},{10,11},{15,16}}

[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(15,16)] => {{1,14},{2,13},{3,12},{4,11},{5,8},{6,7},{9,10},{15,16}}

[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,16)] => {{1,14},{2,13},{3,12},{4,11},{5,10},{6,7},{8,9},{15,16}}

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16)] => {{1,14},{2,13},{3,12},{4,11},{5,10},{6,9},{7,8},{15,16}}

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,18),(16,17)] => {{1,14},{2,13},{3,12},{4,11},{5,10},{6,9},{7,8},{15,18},{16,17}}

[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10}}

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,20),(18,19)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9},{17,20},{18,19}}

[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,18),(16,17)] => {{1,14},{2,13},{3,12},{4,11},{5,10},{6,7},{8,9},{15,18},{16,17}}

[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,13},{7,12},{8,9},{10,11}}

[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11}}

[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,13},{7,10},{8,9},{11,12}}

[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,13},{7,8},{9,12},{10,11}}

[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,15},{7,14},{8,13},{9,10},{11,12}}

[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,11},{7,10},{8,9},{12,13}}

[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,13},{7,8},{9,10},{11,12}}

[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,15},{7,14},{8,11},{9,10},{12,13}}

[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,7},{8,13},{9,12},{10,11}}

[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,15},{7,14},{8,9},{10,13},{11,12}}

[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [(1,22),(2,21),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)] => {{1,22},{2,21},{3,20},{4,19},{5,18},{6,17},{7,16},{8,15},{9,14},{10,11},{12,13}}

[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [(1,14),(2,13),(3,4),(5,12),(6,11),(7,10),(8,9),(15,18),(16,17)] => {{1,14},{2,13},{3,4},{5,12},{6,11},{7,10},{8,9},{15,18},{16,17}}

[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,12),(6,11),(7,10),(8,9),(13,14)] => {{1,18},{2,17},{3,16},{4,15},{5,12},{6,11},{7,10},{8,9},{13,14}}

[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,12),(8,11),(9,10),(13,14)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,15},{7,12},{8,11},{9,10},{13,14}}

[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [(1,22),(2,21),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,12),(10,11),(13,14)] => {{1,22},{2,21},{3,20},{4,19},{5,18},{6,17},{7,16},{8,15},{9,12},{10,11},{13,14}}

[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,6),(7,14),(8,13),(9,12),(10,11)] => {{1,18},{2,17},{3,16},{4,15},{5,6},{7,14},{8,13},{9,12},{10,11}}

[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,8),(9,14),(10,13),(11,12)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,15},{7,8},{9,14},{10,13},{11,12}}

[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [(1,22),(2,21),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,10),(11,14),(12,13)] => {{1,22},{2,21},{3,20},{4,19},{5,18},{6,17},{7,16},{8,15},{9,10},{11,14},{12,13}}

[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [(1,18),(2,17),(3,16),(4,13),(5,12),(6,11),(7,10),(8,9),(14,15)] => {{1,18},{2,17},{3,16},{4,13},{5,12},{6,11},{7,10},{8,9},{14,15}}

[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,13),(7,12),(8,11),(9,10),(14,15)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,13},{7,12},{8,11},{9,10},{14,15}}

[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,9),(7,8),(10,11),(12,13)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,9},{7,8},{10,11},{12,13}}

[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,7),(8,11),(9,10),(12,13)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,7},{8,11},{9,10},{12,13}}

[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,7),(8,9),(10,13),(11,12)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,7},{8,9},{10,13},{11,12}}

[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,5),(6,15),(7,14),(8,13),(9,12),(10,11)] => {{1,18},{2,17},{3,16},{4,5},{6,15},{7,14},{8,13},{9,12},{10,11}}

[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,7),(8,15),(9,14),(10,13),(11,12)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,7},{8,15},{9,14},{10,13},{11,12}}

[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(15,18),(16,17)] => {{1,2},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9},{15,18},{16,17}}

[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,18),(14,17),(15,16)] => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7},{13,18},{14,17},{15,16}}

[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [(1,18),(2,17),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(15,16)] => {{1,18},{2,17},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9},{15,16}}

[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,14),(6,13),(7,12),(8,11),(9,10),(15,16)] => {{1,20},{2,19},{3,18},{4,17},{5,14},{6,13},{7,12},{8,11},{9,10},{15,16}}

[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,12),(6,9),(7,8),(10,11),(13,14)] => {{1,18},{2,17},{3,16},{4,15},{5,12},{6,9},{7,8},{10,11},{13,14}}

[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,10),(8,9),(11,12),(13,14)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,15},{7,10},{8,9},{11,12},{13,14}}

[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,6),(7,14),(8,9),(10,13),(11,12)] => {{1,18},{2,17},{3,16},{4,15},{5,6},{7,14},{8,9},{10,13},{11,12}}

[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,8),(9,10),(11,14),(12,13)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,15},{7,8},{9,10},{11,14},{12,13}}

[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => {{1,2},{3,18},{4,17},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11}}

[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,4),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => {{1,18},{2,17},{3,4},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11}}

[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,6),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,20},{2,19},{3,18},{4,17},{5,6},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,18),(14,15),(16,17)] => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7},{13,18},{14,15},{16,17}}

[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [(1,18),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(16,17)] => {{1,18},{2,15},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9},{16,17}}

[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,18),(14,17),(15,16)] => {{1,12},{2,11},{3,10},{4,9},{5,6},{7,8},{13,18},{14,17},{15,16}}

[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [(1,20),(2,19),(3,18),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(16,17)] => {{1,20},{2,19},{3,18},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10},{16,17}}

[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,6),(7,12),(8,11),(9,10),(13,14)] => {{1,18},{2,17},{3,16},{4,15},{5,6},{7,12},{8,11},{9,10},{13,14}}

[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,8),(6,7),(9,14),(10,11),(12,13)] => {{1,18},{2,17},{3,16},{4,15},{5,8},{6,7},{9,14},{10,11},{12,13}}

[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => {{1,2},{3,18},{4,17},{5,16},{6,15},{7,14},{8,13},{9,10},{11,12}}

[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,3),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => {{1,18},{2,3},{4,17},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11}}

[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,5),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,20},{2,19},{3,18},{4,5},{6,17},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,20),(16,19),(17,18)] => {{1,14},{2,13},{3,12},{4,11},{5,10},{6,9},{7,8},{15,20},{16,19},{17,18}}

[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [(1,18),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(16,17)] => {{1,18},{2,15},{3,14},{4,13},{5,12},{6,11},{7,8},{9,10},{16,17}}

[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [(1,20),(2,19),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(17,18)] => {{1,20},{2,19},{3,16},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10},{17,18}}

[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,18),(14,17),(15,16)] => {{1,12},{2,11},{3,10},{4,5},{6,9},{7,8},{13,18},{14,17},{15,16}}

[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)] => {{1,2},{3,18},{4,17},{5,16},{6,15},{7,14},{8,11},{9,10},{12,13}}

[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [(1,18),(2,3),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => {{1,18},{2,3},{4,17},{5,16},{6,15},{7,14},{8,13},{9,10},{11,12}}

[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,2},{3,20},{4,19},{5,18},{6,17},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,4),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,20},{2,19},{3,4},{5,18},{6,17},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [(1,20),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(18,19)] => {{1,20},{2,17},{3,16},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10},{18,19}}

[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [(1,18),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(16,17)] => {{1,18},{2,15},{3,14},{4,13},{5,12},{6,9},{7,8},{10,11},{16,17}}

[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [(1,18),(2,17),(3,16),(4,5),(6,13),(7,12),(8,11),(9,10),(14,15)] => {{1,18},{2,17},{3,16},{4,5},{6,13},{7,12},{8,11},{9,10},{14,15}}

[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,8),(6,7),(9,10),(11,12),(13,14)] => {{1,18},{2,17},{3,16},{4,15},{5,8},{6,7},{9,10},{11,12},{13,14}}

[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,6),(7,8),(9,10),(11,14),(12,13)] => {{1,18},{2,17},{3,16},{4,15},{5,6},{7,8},{9,10},{11,14},{12,13}}

[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,11),(12,13)] => {{1,2},{3,18},{4,17},{5,16},{6,15},{7,14},{8,9},{10,11},{12,13}}

[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [(1,18),(2,3),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)] => {{1,18},{2,3},{4,17},{5,16},{6,15},{7,14},{8,11},{9,10},{12,13}}

[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)] => {{1,2},{3,20},{4,19},{5,18},{6,17},{7,16},{8,15},{9,14},{10,11},{12,13}}

[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,3),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,20},{2,3},{4,19},{5,18},{6,17},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,14),(15,16),(17,18)] => {{1,2},{3,4},{5,6},{7,10},{8,9},{11,12},{13,14},{15,16},{17,18}}

[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,2},{3,4},{5,8},{6,7},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12),(13,14),(15,16),(17,18)] => {{1,2},{3,4},{5,10},{6,7},{8,9},{11,12},{13,14},{15,16},{17,18}}

[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12),(13,14),(15,16),(17,18)] => {{1,2},{3,6},{4,5},{7,10},{8,9},{11,12},{13,14},{15,16},{17,18}}

[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16),(17,18)] => {{1,2},{3,10},{4,5},{6,7},{8,9},{11,12},{13,14},{15,16},{17,18}}

[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,2},{3,8},{4,7},{5,6},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(17,18)] => {{1,2},{3,16},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10},{17,18}}

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15),(17,18)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12},{13,16},{14,15},{17,18}}

[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12),(13,14),(15,16),(17,18)] => {{1,4},{2,3},{5,10},{6,7},{8,9},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(17,18)] => {{1,4},{2,3},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11},{17,18}}

[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,8},{2,3},{4,5},{6,7},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16),(17,18)] => {{1,10},{2,3},{4,5},{6,7},{8,9},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,14),(15,16),(17,18)] => {{1,12},{2,3},{4,5},{6,7},{8,9},{10,11},{13,14},{15,16},{17,18}}

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(15,16),(17,18)] => {{1,14},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{15,16},{17,18}}

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(17,18)] => {{1,16},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{17,18}}

[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14),(17,18)] => {{1,16},{2,3},{4,5},{6,7},{8,9},{10,11},{12,15},{13,14},{17,18}}

[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12),(15,16),(17,18)] => {{1,14},{2,3},{4,5},{6,7},{8,9},{10,13},{11,12},{15,16},{17,18}}

[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10),(13,14),(15,16),(17,18)] => {{1,12},{2,3},{4,5},{6,7},{8,11},{9,10},{13,14},{15,16},{17,18}}

[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12),(13,14),(15,16),(17,18)] => {{1,10},{2,3},{4,5},{6,9},{7,8},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,8},{2,3},{4,7},{5,6},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,16),(2,3),(4,15),(5,6),(7,8),(9,10),(11,12),(13,14),(17,18)] => {{1,16},{2,3},{4,15},{5,6},{7,8},{9,10},{11,12},{13,14},{17,18}}

[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [(1,16),(2,3),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(17,18)] => {{1,16},{2,3},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10},{17,18}}

[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,6},{2,5},{3,4},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,8},{2,5},{3,4},{6,7},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,16),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15),(17,18)] => {{1,16},{2,5},{3,4},{6,7},{8,9},{10,11},{12,13},{14,15},{17,18}}

[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,8},{2,7},{3,4},{5,6},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12),(13,14),(15,16),(17,18)] => {{1,10},{2,9},{3,4},{5,6},{7,8},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10),(13,14),(15,16),(17,18)] => {{1,12},{2,11},{3,4},{5,6},{7,8},{9,10},{13,14},{15,16},{17,18}}

[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12),(15,16),(17,18)] => {{1,14},{2,13},{3,4},{5,6},{7,8},{9,10},{11,12},{15,16},{17,18}}

[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,16),(2,15),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(17,18)] => {{1,16},{2,15},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{17,18}}

[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,8},{2,7},{3,6},{4,5},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12),(13,14),(15,16),(17,18)] => {{1,10},{2,7},{3,6},{4,5},{8,9},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14),(15,16),(17,18)] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11,12},{13,14},{15,16},{17,18}}

[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14),(15,16),(17,18)] => {{1,12},{2,9},{3,8},{4,7},{5,6},{10,11},{13,14},{15,16},{17,18}}

[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14),(15,16),(17,18)] => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7},{13,14},{15,16},{17,18}}

[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13),(15,16),(17,18)] => {{1,14},{2,11},{3,10},{4,9},{5,8},{6,7},{12,13},{15,16},{17,18}}

[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(17,18)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,7},{8,11},{9,10},{17,18}}

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16),(17,18)] => {{1,14},{2,13},{3,12},{4,11},{5,10},{6,9},{7,8},{15,16},{17,18}}

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [(1,16),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(14,15),(17,18)] => {{1,16},{2,13},{3,12},{4,11},{5,10},{6,9},{7,8},{14,15},{17,18}}

[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(17,18)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,9},{7,8},{10,11},{17,18}}

[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(17,18)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,11},{7,8},{9,10},{17,18}}

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9},{17,18}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,17),(15,16)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,17},{15,16}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,17),(13,14),(15,16)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,11},{12,17},{13,14},{15,16}}

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,17),(11,12),(13,14),(15,16)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,17},{11,12},{13,14},{15,16}}

[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,18),(2,3),(4,17),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => {{1,18},{2,3},{4,17},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16}}

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,18),(2,17),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => {{1,18},{2,17},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => {{1,20},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17},{18,19}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,19),(17,18)] => {{1,20},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{16,19},{17,18}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,17),(13,16),(14,15)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,11},{12,17},{13,16},{14,15}}

[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,20),(2,3),(4,19),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,20},{2,3},{4,19},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18},{19,20}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,22),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21)] => {{1,22},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17},{18,19},{20,21}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,19),(15,18),(16,17)] => {{1,20},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,19},{15,18},{16,17}}

[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,17),(11,16),(12,13),(14,15)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,17},{11,16},{12,13},{14,15}}

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18},{19,20}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,19),(13,18),(14,15),(16,17)] => {{1,20},{2,3},{4,5},{6,7},{8,9},{10,11},{12,19},{13,18},{14,15},{16,17}}

[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,17),(9,16),(10,11),(12,13),(14,15)] => {{1,18},{2,3},{4,5},{6,7},{8,17},{9,16},{10,11},{12,13},{14,15}}

[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [(1,18),(2,17),(3,10),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16)] => {{1,18},{2,17},{3,10},{4,5},{6,7},{8,9},{11,12},{13,14},{15,16}}

[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18},{19,20}}

[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => {{1,6},{2,5},{3,4},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18},{19,20}}

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18},{19,20},{21,22}}

[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,9),(10,19),(11,18),(12,13),(14,15),(16,17)] => {{1,20},{2,3},{4,5},{6,7},{8,9},{10,19},{11,18},{12,13},{14,15},{16,17}}

[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,18),(2,3),(4,5),(6,17),(7,16),(8,9),(10,11),(12,13),(14,15)] => {{1,18},{2,3},{4,5},{6,17},{7,16},{8,9},{10,11},{12,13},{14,15}}

[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => {{1,8},{2,3},{4,5},{6,7},{9,10},{11,12},{13,14},{15,16},{17,18},{19,20}}

[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,19),(9,18),(10,11),(12,13),(14,15),(16,17)] => {{1,20},{2,3},{4,5},{6,7},{8,19},{9,18},{10,11},{12,13},{14,15},{16,17}}

[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,18),(2,3),(4,17),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)] => {{1,18},{2,3},{4,17},{5,16},{6,7},{8,9},{10,11},{12,13},{14,15}}

[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16),(17,18),(19,20)] => {{1,10},{2,3},{4,5},{6,7},{8,9},{11,12},{13,14},{15,16},{17,18},{19,20}}

[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => {{1,8},{2,7},{3,6},{4,5},{9,10},{11,12},{13,14},{15,16},{17,18},{19,20}}

[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,20),(2,3),(4,5),(6,19),(7,18),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,20},{2,3},{4,5},{6,19},{7,18},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,18),(2,17),(3,16),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)] => {{1,18},{2,17},{3,16},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15}}

[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14)] => {{1,18},{2,17},{3,16},{4,5},{6,7},{8,9},{10,11},{12,15},{13,14}}

[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,14),(15,16),(17,18),(19,20)] => {{1,12},{2,3},{4,5},{6,7},{8,9},{10,11},{13,14},{15,16},{17,18},{19,20}}

[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,20),(2,3),(4,19),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,20},{2,3},{4,19},{5,18},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(15,16),(17,18),(19,20)] => {{1,14},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{15,16},{17,18},{19,20}}

[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14),(15,16),(17,18),(19,20)] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11,12},{13,14},{15,16},{17,18},{19,20}}

[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,20),(2,19),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,20},{2,19},{3,18},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(17,18),(19,20)] => {{1,16},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{17,18},{19,20}}

[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,17),(15,16)] => {{1,20},{2,19},{3,18},{4,5},{6,7},{8,9},{10,11},{12,13},{14,17},{15,16}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14),(16,17)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,11},{12,15},{13,14},{16,17}}

[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12),(14,15),(16,17)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,13},{11,12},{14,15},{16,17}}

[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,15),(11,14),(12,13),(16,17)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,15},{11,14},{12,13},{16,17}}

[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,18),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,18},{2,3},{4,7},{5,6},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [(1,18),(2,3),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(16,17)] => {{1,18},{2,3},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10},{16,17}}

[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,18),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,18},{2,5},{3,4},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,2},{3,18},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,17),(15,16)] => {{1,2},{3,18},{4,5},{6,7},{8,9},{10,11},{12,13},{14,17},{15,16}}

[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,18),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,2},{3,18},{4,7},{5,6},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,4},{2,3},{5,18},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [(1,4),(2,3),(5,18),(6,7),(8,17),(9,16),(10,15),(11,14),(12,13)] => {{1,4},{2,3},{5,18},{6,7},{8,17},{9,16},{10,15},{11,14},{12,13}}

[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,4),(2,3),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,4},{2,3},{5,18},{6,17},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,6),(2,5),(3,4),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)] => {{1,6},{2,5},{3,4},{7,18},{8,17},{9,16},{10,15},{11,14},{12,13}}

[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,18),(10,17),(11,16),(12,15),(13,14)] => {{1,8},{2,7},{3,6},{4,5},{9,18},{10,17},{11,16},{12,15},{13,14}}

[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,18),(12,17),(13,16),(14,15)] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11,18},{12,17},{13,16},{14,15}}

[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13),(14,15),(16,17),(18,19)] => {{1,20},{2,3},{4,5},{6,7},{8,11},{9,10},{12,13},{14,15},{16,17},{18,19}}

[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => {{1,20},{2,5},{3,4},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17},{18,19}}

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,20),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => {{1,2},{3,20},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17},{18,19}}

[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,4),(2,3),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)] => {{1,4},{2,3},{5,20},{6,19},{7,18},{8,17},{9,16},{10,15},{11,14},{12,13}}

[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,6),(2,5),(3,4),(7,20),(8,19),(9,18),(10,17),(11,16),(12,15),(13,14)] => {{1,6},{2,5},{3,4},{7,20},{8,19},{9,18},{10,17},{11,16},{12,15},{13,14}}

[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,20),(10,19),(11,18),(12,17),(13,16),(14,15)] => {{1,8},{2,7},{3,6},{4,5},{9,20},{10,19},{11,18},{12,17},{13,16},{14,15}}

[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,20),(12,19),(13,18),(14,17),(15,16)] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11,20},{12,19},{13,18},{14,17},{15,16}}

[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,20),(14,19),(15,18),(16,17)] => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7},{13,20},{14,19},{15,18},{16,17}}

[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(19,20)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10},{19,20}}

[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,2},{3,4},{5,18},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,18),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,2},{3,4},{5,6},{7,18},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,18),(10,11),(12,13),(14,15),(16,17)] => {{1,2},{3,4},{5,6},{7,8},{9,18},{10,11},{12,13},{14,15},{16,17}}

[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,13),(14,15),(16,17)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,18},{12,13},{14,15},{16,17}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,15),(16,17)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,18},{14,15},{16,17}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{15,18},{16,17}}

[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,20),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => {{1,2},{3,4},{5,20},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17},{18,19}}

[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,20),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => {{1,2},{3,4},{5,6},{7,20},{8,9},{10,11},{12,13},{14,15},{16,17},{18,19}}

[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,20),(10,11),(12,13),(14,15),(16,17),(18,19)] => {{1,2},{3,4},{5,6},{7,8},{9,20},{10,11},{12,13},{14,15},{16,17},{18,19}}

[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,20),(12,13),(14,15),(16,17),(18,19)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,20},{12,13},{14,15},{16,17},{18,19}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,20),(14,15),(16,17),(18,19)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,20},{14,15},{16,17},{18,19}}

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13),(15,18),(16,17)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,14},{12,13},{15,18},{16,17}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,20),(16,17),(18,19)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{15,20},{16,17},{18,19}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,20),(18,19)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,20},{18,19}}

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(15,18),(16,17)] => {{1,14},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{15,18},{16,17}}

[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(19,20)] => {{1,2},{3,18},{4,17},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11},{19,20}}

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18),(19,20)] => {{1,16},{2,15},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9},{17,18},{19,20}}

[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11),(19,20)] => {{1,18},{2,17},{3,16},{4,15},{5,14},{6,13},{7,12},{8,9},{10,11},{19,20}}

[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,18),(14,17),(15,16)] => {{1,12},{2,3},{4,5},{6,7},{8,9},{10,11},{13,18},{14,17},{15,16}}

[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)] => {{1,2},{3,18},{4,17},{5,16},{6,7},{8,9},{10,11},{12,13},{14,15}}

[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,2),(3,4),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => {{1,2},{3,4},{5,18},{6,17},{7,16},{8,15},{9,14},{10,13},{11,12}}

[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,6),(2,3),(4,5),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)] => {{1,6},{2,3},{4,5},{7,18},{8,17},{9,16},{10,15},{11,14},{12,13}}

[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,18),(10,17),(11,16),(12,15),(13,14)] => {{1,8},{2,7},{3,4},{5,6},{9,18},{10,17},{11,16},{12,15},{13,14}}

[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,18),(12,17),(13,16),(14,15)] => {{1,10},{2,9},{3,8},{4,5},{6,7},{11,18},{12,17},{13,16},{14,15}}

[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,18),(2,17),(3,16),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)] => {{1,18},{2,17},{3,16},{4,7},{5,6},{8,9},{10,11},{12,13},{14,15}}

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12},{13,14},{15,18},{16,17}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,17),(15,16)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,18},{14,17},{15,16}}

[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,18),(4,17),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => {{1,2},{3,18},{4,17},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16}}

[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,15),(7,8),(9,10),(11,12),(13,14)] => {{1,2},{3,18},{4,17},{5,16},{6,15},{7,8},{9,10},{11,12},{13,14}}

[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [(1,6),(2,5),(3,4),(7,18),(8,17),(9,16),(10,15),(11,12),(13,14)] => {{1,6},{2,5},{3,4},{7,18},{8,17},{9,16},{10,15},{11,12},{13,14}}

[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,18),(12,17),(13,14),(15,16)] => {{1,10},{2,9},{3,8},{4,7},{5,6},{11,18},{12,17},{13,14},{15,16}}

[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,18),(10,17),(11,16),(12,13),(14,15)] => {{1,8},{2,7},{3,6},{4,5},{9,18},{10,17},{11,16},{12,13},{14,15}}

[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [(1,4),(2,3),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)] => {{1,4},{2,3},{5,18},{6,17},{7,16},{8,15},{9,14},{10,11},{12,13}}

[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,15),(13,14),(16,17)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,18},{12,15},{13,14},{16,17}}

[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,18),(10,13),(11,12),(14,15),(16,17)] => {{1,2},{3,4},{5,6},{7,8},{9,18},{10,13},{11,12},{14,15},{16,17}}

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,13),(14,15),(16,17),(19,20)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,18},{12,13},{14,15},{16,17},{19,20}}

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(19,20)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17},{19,20}}

[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(21,22)] => {{1,20},{2,19},{3,18},{4,17},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11},{21,22}}

[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [(1,2),(3,22),(4,21),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)] => {{1,2},{3,22},{4,21},{5,20},{6,19},{7,18},{8,17},{9,16},{10,15},{11,14},{12,13}}

[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12),(15,18),(16,17)] => {{1,14},{2,13},{3,4},{5,6},{7,8},{9,10},{11,12},{15,18},{16,17}}

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,17),(11,12),(13,16),(14,15)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,17},{11,12},{13,16},{14,15}}

[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,18),(6,17),(7,8),(9,10),(11,12),(13,14),(15,16)] => {{1,4},{2,3},{5,18},{6,17},{7,8},{9,10},{11,12},{13,14},{15,16}}

[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,18),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,18},{2,7},{3,4},{5,6},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,20),(4,19),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => {{1,2},{3,20},{4,19},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18}}

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13),(15,16),(17,18),(19,20)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,14},{12,13},{15,16},{17,18},{19,20}}

[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,18),(10,17),(11,16),(12,13),(14,15)] => {{1,8},{2,3},{4,5},{6,7},{9,18},{10,17},{11,16},{12,13},{14,15}}

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,15),(11,12),(13,14),(16,17)] => {{1,18},{2,3},{4,5},{6,7},{8,9},{10,15},{11,12},{13,14},{16,17}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,22),(20,21)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,18},{19,22},{20,21}}

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,18),(2,15),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(16,17)] => {{1,18},{2,15},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{16,17}}

[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,18),(12,17),(13,16),(14,15)] => {{1,10},{2,3},{4,5},{6,7},{8,9},{11,18},{12,17},{13,16},{14,15}}

[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,3),(4,5),(6,11),(7,8),(9,10),(12,13),(14,15),(16,17),(18,19)] => {{1,20},{2,3},{4,5},{6,11},{7,8},{9,10},{12,13},{14,15},{16,17},{18,19}}

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,20),(2,17),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(18,19)] => {{1,20},{2,17},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{18,19}}

[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,11),(3,4),(5,6),(7,8),(9,10),(12,13),(14,15),(16,17),(18,19)] => {{1,20},{2,11},{3,4},{5,6},{7,8},{9,10},{12,13},{14,15},{16,17},{18,19}}

[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,3),(4,11),(5,6),(7,8),(9,10),(12,13),(14,15),(16,17),(18,19)] => {{1,20},{2,3},{4,11},{5,6},{7,8},{9,10},{12,13},{14,15},{16,17},{18,19}}

[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [(1,22),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(20,21)] => {{1,22},{2,19},{3,18},{4,17},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11},{20,21}}

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,20),(18,19)] => {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,20},{18,19}}

[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)] => {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12},{13,14},{15,18},{16,17}}

[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)] => {{1,2},{3,6},{4,5},{7,8},{9,10},{11,12},{13,14},{15,18},{16,17}}

[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,8),(6,7),(9,10),(11,12),(13,14),(15,16)] => {{1,20},{2,19},{3,18},{4,17},{5,8},{6,7},{9,10},{11,12},{13,14},{15,16}}

[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,2),(3,20),(4,19),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => {{1,2},{3,20},{4,19},{5,18},{6,7},{8,9},{10,11},{12,13},{14,15},{16,17}}

[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,2),(3,18),(4,15),(5,6),(7,8),(9,10),(11,12),(13,14),(16,17)] => {{1,2},{3,18},{4,15},{5,6},{7,8},{9,10},{11,12},{13,14},{16,17}}

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16),(17,18),(19,20)] => {{1,14},{2,13},{3,12},{4,11},{5,10},{6,9},{7,8},{15,16},{17,18},{19,20}}

[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14),(15,16),(17,18),(19,20)] => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7},{13,14},{15,16},{17,18},{19,20}}

[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [(1,18),(2,17),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10),(15,16)] => {{1,18},{2,17},{3,4},{5,14},{6,13},{7,12},{8,11},{9,10},{15,16}}

[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,18),(6,17),(7,16),(8,9),(10,11),(12,13),(14,15)] => {{1,4},{2,3},{5,18},{6,17},{7,16},{8,9},{10,11},{12,13},{14,15}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,22),(18,19),(20,21)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12},{13,14},{15,16},{17,22},{18,19},{20,21}}

[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,18),(14,15),(16,17)] => {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12},{13,18},{14,15},{16,17}}

[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,18),(12,13),(14,15),(16,17)] => {{1,2},{3,4},{5,8},{6,7},{9,10},{11,18},{12,13},{14,15},{16,17}}

[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [(1,18),(2,17),(3,12),(4,5),(6,7),(8,9),(10,11),(13,16),(14,15)] => {{1,18},{2,17},{3,12},{4,5},{6,7},{8,9},{10,11},{13,16},{14,15}}

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15),(17,18),(19,20)] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,16},{12,13},{14,15},{17,18},{19,20}}

[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14),(15,18),(16,17)] => {{1,10},{2,3},{4,5},{6,7},{8,9},{11,12},{13,14},{15,18},{16,17}}

[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)] => {{1,2},{3,18},{4,17},{5,16},{6,9},{7,8},{10,11},{12,13},{14,15}}

[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [(1,6),(2,3),(4,5),(7,18),(8,17),(9,16),(10,11),(12,13),(14,15)] => {{1,6},{2,3},{4,5},{7,18},{8,17},{9,16},{10,11},{12,13},{14,15}}

Map

inverse promotion

Description

The inverse promotion of a Dyck path.
This is the bijection obtained by applying the inverse of Schützenberger's promotion to the corresponding two rowed standard Young tableau.

Map

to tunnel matching

Description

Sends a Dyck path of semilength n to the noncrossing perfect matching given by matching an up-step with the corresponding down-step.
This is, for a Dyck path $D$ of semilength $n$, the perfect matching of $\{1,\dots,2n\}$ with $i < j$ being matched if $D_i$ is an up-step and $D_j$ is the down-step connected to $D_i$ by a tunnel.

Map

to set partition

Description

Return the set partition corresponding to the perfect matching.