- FindStat

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Identifier

Mp00137: Dyck paths —to symmetric ASM⟶ Alternating sign matrices

Images

=>
            
              Cc0005;cc-rep-0Cc0017;cc-rep-1
            

            []=>[]
[1,0]=>[[1]]
[1,0,1,0]=>[[1,0],[0,1]]
[1,1,0,0]=>[[0,1],[1,0]]
[1,0,1,0,1,0]=>[[1,0,0],[0,1,0],[0,0,1]]
[1,0,1,1,0,0]=>[[1,0,0],[0,0,1],[0,1,0]]
[1,1,0,0,1,0]=>[[0,1,0],[1,0,0],[0,0,1]]
[1,1,0,1,0,0]=>[[0,1,0],[1,-1,1],[0,1,0]]
[1,1,1,0,0,0]=>[[0,0,1],[0,1,0],[1,0,0]]
[1,0,1,0,1,0,1,0]=>[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]
[1,0,1,0,1,1,0,0]=>[[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0]]
[1,0,1,1,0,0,1,0]=>[[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1]]
[1,0,1,1,0,1,0,0]=>[[1,0,0,0],[0,0,1,0],[0,1,-1,1],[0,0,1,0]]
[1,0,1,1,1,0,0,0]=>[[1,0,0,0],[0,0,0,1],[0,0,1,0],[0,1,0,0]]
[1,1,0,0,1,0,1,0]=>[[0,1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]]
[1,1,0,0,1,1,0,0]=>[[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]]
[1,1,0,1,0,0,1,0]=>[[0,1,0,0],[1,-1,1,0],[0,1,0,0],[0,0,0,1]]
[1,1,0,1,0,1,0,0]=>[[0,1,0,0],[1,-1,1,0],[0,1,-1,1],[0,0,1,0]]
[1,1,0,1,1,0,0,0]=>[[0,1,0,0],[1,-1,0,1],[0,0,1,0],[0,1,0,0]]
[1,1,1,0,0,0,1,0]=>[[0,0,1,0],[0,1,0,0],[1,0,0,0],[0,0,0,1]]
[1,1,1,0,0,1,0,0]=>[[0,0,1,0],[0,1,0,0],[1,0,-1,1],[0,0,1,0]]
[1,1,1,0,1,0,0,0]=>[[0,0,1,0],[0,1,-1,1],[1,-1,1,0],[0,1,0,0]]
[1,1,1,1,0,0,0,0]=>[[0,0,0,1],[0,0,1,0],[0,1,0,0],[1,0,0,0]]
[1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]]
[1,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]
[1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]
[1,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]
[1,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]]
[1,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]
[1,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]
[1,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]
[1,1,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]
[1,1,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]
[1,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]
[1,1,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]
[1,1,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,0]=>[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,0,1,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]
[1,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]
[1,0,1,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]
[1,0,1,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]
[1,1,0,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,1,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]
[1,1,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]
[1,1,0,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]
[1,1,1,0,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,1,1,0,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]
[1,1,1,0,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]
[1,1,1,0,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]
[1,1,1,1,0,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,1,0,0]=>[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0],[1,-1,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,-1,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,0,1],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,-1,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,0,1],[1,-1,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,-1,1],[1,-1,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,-1,1],[1,0,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,-1,1],[1,-1,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,-1,1],[0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,0,1],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,-1,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,-1,0,0,0,1],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,-1,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,-1,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,0,1,0],[0,1,-1,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,-1,0,0,0,1],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,1,0],[1,-1,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,0,1],[1,-1,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,-1,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,1,0],[1,0,-1,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,0,1],[1,0,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,0,1,0],[0,1,0,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,-1,0,0,1],[0,1,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,0,1],[0,1,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,1,0],[1,-1,1,-1,0,1,-1,1],[0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,0,0,1],[1,-1,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,1,0],[1,-1,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,-1,0,1],[1,-1,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,-1,1],[1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,0,1],[0,1,-1,0,0,0,1,0],[1,-1,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,-1,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,1,0],[1,0,0,-1,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,-1,0,0,1],[1,0,0,-1,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,1,0],[1,0,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,-1,0,1],[1,0,-1,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,-1,1],[1,0,-1,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,-1,0,0,1],[0,1,0,-1,0,0,1,0],[1,0,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,-1,1,0],[0,1,0,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,-1,0,1],[0,1,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0],[1,-1,1,0,-1,1,-1,1],[0,1,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,-1,0,1],[1,-1,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,-1,1],[0,1,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1],[1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,-1,0,1],[0,1,-1,1,-1,0,1,0],[1,-1,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,-1,1],[1,-1,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,-1,1],[0,1,-1,0,1,-1,1,0],[1,-1,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1],[0,0,1,-1,0,0,1,0],[0,1,-1,0,0,1,0,0],[1,-1,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,-1,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[1,0,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[1,0,0,0,-1,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,1,0],[1,0,0,0,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,-1,0,1],[1,0,0,0,-1,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,-1,1],[1,0,0,-1,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,-1,0,1],[0,1,0,0,-1,0,1,0],[1,0,0,-1,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,-1,1],[1,0,-1,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,-1,1],[0,1,0,-1,1,-1,1,0],[1,0,-1,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,0,1],[0,0,1,0,-1,0,1,0],[0,1,0,-1,0,1,0,0],[1,0,-1,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,-1,1],[0,1,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1],[1,-1,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,-1,1],[0,1,-1,1,0,-1,1,0],[1,-1,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,0,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,0,1,0,0],[0,1,-1,0,1,0,0,0],[1,-1,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,-1,1],[1,0,0,0,0,-1,1,0],[0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,-1,1],[0,1,0,0,0,-1,1,0],[1,0,0,0,-1,1,0,0],[0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,-1,1],[0,0,1,0,0,-1,1,0],[0,1,0,0,-1,1,0,0],[1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1],[0,0,0,1,0,-1,1,0],[0,0,1,0,-1,1,0,0],[0,1,0,-1,1,0,0,0],[1,0,-1,1,0,0,0,0],[0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,1,-1,1,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[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]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,0,1],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0],[1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,-1,1,0],[1,-1,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,-1,1,0],[1,-1,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,-1,1,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,1,-1,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,-1,1],[0,1,-1,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,-1,1],[0,1,-1,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0],[1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0],[1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1],[0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1],[0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,0,1,0],[1,-1,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,-1,1,0],[1,0,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[1,-1,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,1,0,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,-1,1],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,0,1],[0,1,-1,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,-1,1],[0,1,0,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,0,1],[0,1,-1,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[1,0,0,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[1,0,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0],[1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1],[0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,0,1],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,0,0,1],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,0,0,1],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,0,0,1],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1],[0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1],[0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,1,0,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,1,-1,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,0,0,1],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,0,0,1],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,0,0,0,1],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,0,1],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,0,0,0,1],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1],[0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,-1,1],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1],[0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,1,0,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[1,-1,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1],[1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[1,0,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0],[1,0,-1,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0],[1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0],[1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0],[1,0,-1,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,0,0,1],[1,0,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,-1,0,0,0,1],[0,1,0,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,0,0,1],[0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,0,1],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,-1,1],[0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,0,0,1],[0,1,-1,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[1,-1,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[1,-1,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[1,-1,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,0,1,0],[1,-1,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,0,1,0],[1,-1,1,-1,0,0,1,-1,1],[0,1,-1,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,0,0,1],[1,-1,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,0,1],[0,1,0,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[1,-1,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[1,-1,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[1,-1,0,1,-1,1,-1,0,1],[0,0,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0],[1,-1,0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,0,1],[1,-1,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,1,0,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,-1,1,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,-1,1,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,1,-1,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,-1,1,0],[1,-1,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,-1,0,1],[1,-1,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,-1,1],[1,-1,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1],[0,1,-1,0,0,0,0,1,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0],[1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0],[1,0,0,-1,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,0,0,1],[1,0,0,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[1,0,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[1,0,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[1,0,-1,1,-1,1,-1,0,1],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,0,1,0],[1,0,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[1,0,-1,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,-1,1,0],[1,0,-1,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,-1,0,1],[1,0,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0],[0,1,0,-1,0,0,1,0,0],[1,0,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0],[0,1,0,-1,0,0,1,-1,1],[1,0,-1,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[1,-1,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,0,1,0],[1,-1,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,0,1,0],[1,-1,1,0,-1,0,1,-1,1],[0,1,0,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,0,0,1],[1,-1,1,0,-1,0,0,1,0],[0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,-1,0,1],[0,1,-1,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,-1,1],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,0,1],[1,-1,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0,-1,1],[0,1,-1,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,-1,1],[1,-1,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,0,1],[0,1,-1,1,-1,0,0,1,0],[1,-1,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,-1,1,0],[1,-1,0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,-1,0,1],[1,-1,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,-1,1],[1,-1,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1],[0,1,-1,0,1,-1,0,1,0],[1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,-1,1],[1,-1,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,-1,1],[0,1,-1,0,0,1,-1,1,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,0,1],[0,0,1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[1,0,0,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,0,1,0],[1,0,0,0,-1,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,0,0,1],[1,0,0,0,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,-1,1,0],[1,0,0,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,-1,0,1],[1,0,0,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1,-1,1],[1,0,0,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1],[0,1,0,0,-1,0,0,1,0],[1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0],[1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0],[1,0,-1,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,0,1],[1,0,-1,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,0,0],[1,0,-1,1,-1,1,0,-1,1],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,-1,1],[1,0,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,0,1],[0,1,0,-1,1,-1,0,1,0],[1,0,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,-1,1],[1,0,-1,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,-1,1],[0,1,0,-1,0,1,-1,1,0],[1,0,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,0,1],[0,0,1,0,-1,0,0,1,0],[0,1,0,-1,0,0,1,0,0],[1,0,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,-1,1,0],[1,-1,1,0,0,-1,1,-1,1],[0,1,0,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,-1,0,1],[1,-1,1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,0,0],[1,-1,1,0,-1,1,0,-1,1],[0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,-1,1],[1,-1,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,0,1],[0,1,-1,1,0,-1,0,1,0],[1,-1,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,-1,1],[0,1,-1,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,-1,1],[1,-1,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,-1,1],[1,-1,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,-1,1],[0,1,-1,0,1,0,-1,1,0],[1,-1,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0],[1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0],[1,0,0,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,0,1],[1,0,0,0,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1],[0,1,0,0,0,-1,0,1,0],[1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,1,0,0,-1,1,-1,1,0],[1,0,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,-1,1],[1,0,-1,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1],[0,1,0,-1,1,0,-1,1,0],[1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,-1,1],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,-1,1],[1,-1,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,-1,1],[0,1,-1,1,0,0,-1,1,0],[1,-1,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1],[1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,1,0,0,0,0,-1,1,0],[1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0],[1,0,0,-1,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,-1,0,1],[0,0,0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,0,0,1],[0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,1,-1,1,-1,0,0,1],[0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,0,0],[0,1,0,0,0,-1,1,0,0,0],[1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,0,0],[0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1],[0,0,0,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1,0],[0,1,0,0,0,0,-1,1,0,0],[1,0,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,0,0],[0,1,-1,1,-1,0,1,0,0,0],[1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,1],[0,0,1,0,0,0,0,-1,1,0],[0,1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,-1,1],[0,0,1,-1,0,1,0,-1,1,0],[0,1,-1,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,0,0],[0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,0,1],[0,0,1,-1,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1,0],[1,0,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0],[0,0,1,0,0,-1,0,1,0,0],[0,1,0,0,-1,0,1,0,0,0],[1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0],[0,0,1,0,-1,0,0,1,0,0],[0,1,0,-1,0,0,1,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,-1,1],[0,1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,1,0,0,-1,0,1,0],[0,0,1,0,0,-1,0,1,0,0],[0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,0,1],[0,0,1,-1,0,1,-1,0,1,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,0,1],[0,1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,0,1],[0,0,1,-1,1,-1,0,0,1,0],[0,1,-1,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,-1,0,1],[0,1,-1,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,-1,1,0],[1,0,-1,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,0,1],[0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0],[1,0,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,0,0],[0,1,-1,1,-1,0,1,0,0,0],[1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1],[0,0,0,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,0,1],[0,0,1,-1,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,0,1],[0,1,-1,0,0,0,0,0,1,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,0,1],[1,-1,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,-1,1],[1,0,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,-1,1],[0,1,0,0,0,0,0,-1,1,0],[1,0,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,1],[0,0,1,0,0,0,0,-1,1,0],[0,1,0,0,0,0,-1,1,0,0],[1,0,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,0,0],[0,1,0,0,0,-1,1,0,0,0],[1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,1,0,0,-1,0,1,0],[0,0,1,0,0,-1,0,1,0,0],[0,1,0,0,-1,0,1,0,0,0],[1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,0,0,1],[0,0,1,0,0,-1,0,0,1,0],[0,1,0,0,-1,0,0,1,0,0],[1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,0,1],[0,1,0,0,0,-1,0,0,1,0],[1,0,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,-1,0,0,0,1],[1,0,0,0,-1,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,-1,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,-1,1],[0,1,0,-1,1,-1,1,-1,1,0],[1,0,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,-1,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,0,1],[1,0,0,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1,-1,1],[1,-1,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1,0,0],[1,-1,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,0,0],[0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,-1,1],[1,-1,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,-1,1],[0,0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0,0],[1,-1,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,0,0,1],[0,0,1,-1,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,0,0,0,1],[0,1,-1,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,0,0,0,1],[0,0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,0,0,0,0,0,1],[0,1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,-1,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,0,0],[0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,1],[0,0,1,0,0,0,0,-1,1,0],[0,1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,-1,1],[0,1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[1,-1,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0,-1,1],[0,1,-1,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,-1,1,0],[1,-1,1,-1,1,0,-1,1,-1,1],[0,1,-1,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,-1,1,0],[1,-1,1,0,-1,1,-1,1,-1,1],[0,1,0,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,-1,1],[0,0,1,0,-1,1,0,-1,1,0],[0,1,0,-1,1,0,-1,1,0,0],[1,0,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,-1,1],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,0,0,0,1],[1,-1,1,-1,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,-1,1],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,-1,1],[0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0],[1,-1,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,0,0,1],[0,1,-1,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,0,0,0,1],[0,0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,0,1,0],[1,-1,1,-1,1,-1,0,1,-1,1],[0,1,-1,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,1,-1,1,-1,0,1,-1,1,0],[1,-1,1,-1,0,1,-1,1,-1,1],[0,1,-1,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,-1,1,0],[1,-1,0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0],[1,0,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,0,1],[0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,-1,1,0],[0,1,0,0,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,0,0,1,0],[0,1,-1,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,-1,1,0],[0,1,0,0,0,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,-1,1,0],[1,-1,1,0,0,0,-1,1,-1,1],[0,1,0,0,0,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0],[0,1,-1,1,0,0,-1,1,-1,1],[1,-1,1,0,0,-1,1,-1,1,0],[0,1,0,0,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,-1,1],[0,1,-1,1,0,-1,1,-1,1,0],[1,-1,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1],[0,0,0,1,0,-1,0,0,1,0],[0,0,1,0,-1,0,0,1,0,0],[0,1,0,-1,0,0,1,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,-1,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,-1,0,1],[0,1,0,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0],[1,0,-1,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,0,1],[0,1,0,0,-1,0,0,0,1,0],[1,0,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0],[1,-1,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,0,0,1],[1,0,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,-1,1],[0,1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,-1,1],[1,-1,1,0,0,0,0,-1,1,0],[0,1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,-1,1],[0,1,-1,1,0,0,0,-1,1,0],[1,-1,1,0,0,0,-1,1,0,0],[0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,-1,1],[0,0,1,-1,1,0,0,-1,1,0],[0,1,-1,1,0,0,-1,1,0,0],[1,-1,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,-1,1],[0,0,1,-1,0,0,1,-1,1,0],[0,1,-1,0,0,1,-1,1,0,0],[1,-1,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1,-1,1],[0,1,-1,0,0,0,1,-1,1,0],[1,-1,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1,0],[1,-1,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,-1,1,0,0],[1,0,0,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,-1,1],[0,1,-1,1,-1,0,1,-1,1,0],[1,-1,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,0,1,0],[0,1,-1,0,1,-1,0,1,-1,1],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[1,-1,1,0,-1,1,0,-1,1,0],[0,1,0,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,0,1],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0],[1,0,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[1,-1,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,-1,1],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0],[1,-1,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,0,1,0,0],[0,1,-1,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,0,1,0,0],[1,-1,1,-1,0,0,1,-1,1,0],[0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,-1,1],[0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0],[1,-1,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,-1,1],[0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1,0],[1,0,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,-1,1,0,0],[1,0,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0,0],[1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,-1,1],[0,0,1,-1,0,1,0,-1,1,0],[0,1,-1,0,1,0,-1,1,0,0],[1,-1,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,-1,1],[1,-1,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,0,0],[0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,-1,1],[0,1,0,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,0,1],[0,1,-1,1,-1,1,-1,0,1,0],[1,-1,1,-1,1,-1,0,1,0,0],[0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,-1,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,-1,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,-1,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,0,1],[0,0,1,-1,0,1,-1,0,1,0],[0,1,-1,0,1,-1,0,1,0,0],[1,-1,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,-1,1],[0,1,-1,0,1,-1,1,-1,1,0],[1,-1,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1,0],[0,1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,-1,1],[0,1,0,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,0,1],[0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,0,1],[0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0],[0,0,1,0,0,-1,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,-1,1],[0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,-1,1,0,0],[1,-1,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,-1,1],[0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0],[1,-1,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,0,0,1,0,0],[0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,-1,1],[0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0],[0,1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,0,1],[0,0,1,-1,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0],[0,1,0,-1,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1],[0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0],[0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,-1,0,1],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,-1,1,0],[0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1],[0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0],[0,1,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1],[0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0],[1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,-1,1,0],[0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0],[1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0],[0,1,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[1,0,-1,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0],[1,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,-1,0,1,0],[0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0],[1,0,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0],[1,-1,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,-1,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,-1,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,0,1],[0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0],[1,0,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,0,1],[0,0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,-1,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,-1,1],[0,0,1,-1,0,0,1,-1,1,0],[0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,-1,1],[0,1,-1,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,0,0,1,0],[0,1,-1,1,-1,0,0,1,-1,1],[0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,0,1,0,0],[1,-1,1,-1,0,0,1,-1,1,0],[0,1,-1,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,0,1,0],[1,-1,1,-1,1,-1,0,1,0,0],[0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,0,1],[0,0,1,-1,1,0,-1,0,1,0],[0,1,-1,1,0,-1,0,1,0,0],[1,-1,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,-1,1],[0,0,1,0,-1,0,1,-1,1,0],[0,1,0,-1,0,1,-1,1,0,0],[1,0,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[1,-1,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,-1,1],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0],[1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,-1,0,1],[0,0,1,-1,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,-1,1],[0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,1],[0,0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[1,0,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0],[0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[1,-1,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,0,1],[0,1,-1,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,-1,1],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0],[0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0],[1,0,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0],[1,0,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0],[0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,0,1],[0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,0,1],[0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[1,0,0,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0],[0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[1,0,0,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,-1,1,0],[0,1,0,0,0,0,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,1,0,0,0,-1,1,-1,1],[0,1,0,0,0,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,-1,1],[0,0,1,0,0,-1,1,-1,1,0],[0,1,0,0,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,-1,0,1],[0,1,0,0,0,0,-1,0,1,0],[1,0,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1],[0,0,1,0,0,0,-1,0,1,0],[0,1,0,0,0,-1,0,1,0,0],[1,0,0,0,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[1,0,-1,1,0,0,0,0,-1,1],[0,0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,-1,1],[0,1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,-1,1],[1,-1,1,0,-1,1,0,-1,1,0],[0,1,0,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,1,0,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,-1,1],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,-1,1,0],[1,0,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,-1,1],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,0,0,1],[0,0,1,-1,1,-1,0,0,1,0],[0,1,-1,1,-1,0,0,1,0,0],[1,-1,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,-1,0,1],[0,0,1,0,-1,1,-1,0,1,0],[0,1,0,-1,1,-1,0,1,0,0],[1,0,-1,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1,0],[1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,-1,1],[0,1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0],[0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0],[0,1,-1,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0],[0,1,-1,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0],[1,-1,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0],[1,-1,1,0,-1,1,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,0,0,0,1],[0,0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,-1,0,0,1],[0,0,0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,1,0,0,-1,1,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,1,-1,0,0,1,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,-1,0,0,0,1],[0,0,0,0,1,-1,0,0,0,1,0],[0,0,0,1,-1,0,0,0,1,0,0],[0,0,1,-1,0,0,0,1,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,0,1],[0,0,0,1,-1,0,0,0,0,1,0],[0,0,1,-1,0,0,0,0,1,0,0],[0,1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,0,0,1],[0,0,1,-1,0,0,0,0,0,1,0],[0,1,-1,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,0,0,1],[0,1,-1,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,-1,0,1],[0,0,1,-1,1,-1,1,-1,0,1,0],[0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0],[0,1,0,-1,1,-1,1,-1,1,0,0],[1,0,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,1,0,0,-1,1,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,-1,1],[0,0,1,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1,0,0],[1,-1,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,1,-1,1,0,-1,1,0,0],[0,0,1,-1,1,0,-1,1,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0,-1,1],[0,0,1,-1,1,-1,1,0,-1,1,0],[0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0],[0,1,-1,0,1,-1,1,-1,1,0,0],[1,-1,0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,0,1,0],[0,0,0,1,-1,1,-1,0,1,-1,1],[0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0],[1,-1,1,0,-1,1,-1,1,0,0,0],[0,1,0,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,1,-1,0,1,-1,1,0,0],[0,0,1,-1,0,1,-1,1,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,0,0,1],[0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,1,-1,0,0,1,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,0,0,1],[1,-1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,-1,1],[1,0,0,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,0,0,1],[0,0,0,1,-1,1,-1,0,0,1,0],[0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0],[1,0,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,0,1],[0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,-1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,-1,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,-1,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,1,0,-1,0,1,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0],[0,0,1,0,-1,1,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,0,1],[0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0],[0,1,0,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,0,0,1,0],[0,0,0,0,1,-1,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,0,0,1,0,0],[0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,0,0,1,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,-1,1],[0,1,0,0,0,0,0,0,-1,1,0],[1,0,0,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,-1,1],[0,0,1,0,0,0,0,0,-1,1,0],[0,1,0,0,0,0,0,-1,1,0,0],[1,0,0,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,1,0,0,0,0,-1,1,0],[0,0,1,0,0,0,0,-1,1,0,0],[0,1,0,0,0,0,-1,1,0,0,0],[1,0,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,1,0,0,0,-1,1,0,0],[0,0,1,0,0,0,-1,1,0,0,0],[0,1,0,0,0,-1,1,0,0,0,0],[1,0,0,0,-1,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,0,1,0],[0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0],[1,0,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,0,1],[0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,0,0,1,0],[0,0,1,-1,1,-1,0,0,1,-1,1],[0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,-1,0,0,1,0,0],[0,1,-1,1,-1,0,0,1,-1,1,0],[0,0,1,-1,0,0,1,-1,1,-1,1],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,0,0,1,0,0,0],[1,-1,1,-1,0,0,1,-1,1,0,0],[0,1,-1,0,0,1,-1,1,-1,1,0],[0,0,0,0,1,-1,1,-1,1,-1,1],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0],[1,-1,0,0,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,1,0,0,-1,0,1,0,0],[0,0,1,0,0,-1,0,1,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0],[1,0,0,-1,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,-1,1,0,0,0],[1,-1,1,-1,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,1,-1,0,1,0,0],[0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,1,-1,1,-1,0,1,0,0],[0,0,1,-1,1,-1,0,1,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,1,0,-1,1,-1,1,0,0],[0,0,1,0,-1,1,-1,1,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[1,-1,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,-1,1],[0,1,0,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,-1,1],[1,-1,1,0,0,0,0,0,-1,1,0],[0,1,0,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,-1,1],[0,1,-1,1,0,0,0,0,-1,1,0],[1,-1,1,0,0,0,0,-1,1,0,0],[0,1,0,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,-1,1],[0,0,1,-1,1,0,0,0,-1,1,0],[0,1,-1,1,0,0,0,-1,1,0,0],[1,-1,1,0,0,0,-1,1,0,0,0],[0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,1,-1,1,0,0,-1,1,0],[0,0,1,-1,1,0,0,-1,1,0,0],[0,1,-1,1,0,0,-1,1,0,0,0],[1,-1,1,0,0,-1,1,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,-1,1,-1,0,1],[1,-1,1,-1,1,-1,1,-1,0,1,0],[0,1,-1,1,-1,1,-1,0,1,0,0],[0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0],[0,0,1,0,-1,1,-1,1,-1,1,0],[0,1,0,-1,1,-1,1,-1,1,-1,1],[1,0,-1,1,-1,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,-1,0,0,0,1],[0,0,0,0,1,-1,0,0,0,1,0],[0,0,0,1,-1,0,0,0,1,0,0],[0,0,1,-1,0,0,0,1,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,0,1],[0,0,0,1,-1,0,0,0,0,1,0],[0,0,1,-1,0,0,0,0,1,0,0],[0,1,-1,0,0,0,0,1,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,0,0,1],[0,0,1,-1,0,0,0,0,0,1,0],[0,1,-1,0,0,0,0,0,1,0,0],[1,-1,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0]]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,0,0,1],[0,1,-1,0,0,0,0,0,0,1,0],[1,-1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,1,-1,1,0,-1,0,1,-1,1],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,0,0,1,0,-1,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,1,-1,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,1,-1,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,-1,1,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,1,-1,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,-1,1,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,-1,1,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,-1,0,1,0,0,0],[0,0,1,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,-1,1,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,-1,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>[[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,0,1,0,0,0],[1,0,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,-1,1,0,0,0],[1,0,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,-1,1,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,1,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,-1,1,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,1,0,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[1,-1,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,1,-1,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,1,-1,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,1,-1,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[1,-1,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,1,-1,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,1,-1,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,1,0,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,1,-1,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,1,0,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0,0,0],[0,1,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,-1,0,1,0,0],[0,0,1,0,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,-1,1,0,0,0],[0,0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,-1,1,0,0,0],[0,0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,0,1,0,0],[0,1,-1,1,0,0,-1,0,1,-1,1,0],[0,0,1,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,0,1,0,0],[0,1,-1,1,0,0,-1,0,1,-1,1,0],[0,0,1,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,1,-1,1,0,-1,0,0,1,-1,1,0],[0,0,1,0,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,1,-1,1,0,-1,0,0,1,-1,1,0],[0,0,1,0,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,1,-1,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,1,-1,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,0,1,0,0],[0,0,1,0,-1,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,1,0],[0,0,0,1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,1,0,0,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,0,1,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,-1,1,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,0,1,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,-1,1,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,-1,1,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,-1,1],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,-1,1,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,-1,1,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,-1,1,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,-1,1],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,0,1,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,-1,1,0],[0,0,1,0,-1,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,-1,0,0,0,1,0],[0,0,0,1,0,-1,0,0,0,1,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,-1,1],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,0,0,1],[0,0,1,0,-1,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0]]
[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,1,0,-1,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,-1,1],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,0,1,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,0,1],[0,0,1,0,0,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,1,-1,0,1,0,-1,1,-1,0,1],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,0,1,0,0],[0,1,0,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,-1,0,1],[0,0,0,1,-1,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,-1,1],[0,0,0,1,-1,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,0,1,0,0],[0,0,1,-1,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,0,1,0],[0,0,0,1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,0,0,1,0,-1,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,1,0,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,1,0,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,0,1],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,0,1],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,1,0,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,-1,1,0],[0,0,0,1,0,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,1,-1,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,-1,1,0,0],[0,1,0,-1,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,0,1,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,0,1],[0,0,0,1,0,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,0,-1,1,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,0,1,0],[0,1,0,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,1,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,-1,0,1],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,0,1,0],[0,1,0,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,1,-1,0,1,0,-1,1,-1,0,1,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0,0,0],[0,1,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,1,0,0,0,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,-1,0,1,0],[0,0,1,-1,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,0,1,0],[0,0,0,1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,1,0,-1,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,0,1],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[1,0,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[1,0,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,-1,0,1,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[1,0,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1,0,0,0],[0,1,0,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,-1,1,0,0],[0,1,0,-1,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,-1,0,0,0,1,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,1,0],[0,0,0,1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,0,-1,1,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,0,1,0],[0,1,0,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[1,0,-1,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,1,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,0,1,0],[0,1,0,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,1,-1,0,1,0,-1,1,-1,0,1,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,0,1,0,0,0],[1,0,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,1,0,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,-1,0,1,0],[0,0,1,-1,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,-1,1,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,0,1,0,0,0],[0,1,-1,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,0,1,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[1,0,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[1,0,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,0,1,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,0,1,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,-1,0,1,0,0,0],[0,0,1,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[1,0,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1,0,0,0],[0,1,0,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,1,0,0],[0,0,1,0,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,-1,1,0,0,0],[1,-1,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,-1,1,0,0,0],[1,0,-1,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,0,1,0],[0,0,1,0,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,-1,1,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,0,0,1,0,0],[1,0,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,1,0,0,-1,0,1,-1,1,0,0],[0,1,0,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[1,-1,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,-1,0,1,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,-1,0,1,0,0],[1,0,0,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,-1,1,0,0,0,0],[1,-1,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,1,0,0,0,-1,0,1,0,0,0],[0,1,0,0,0,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,-1,0,1,0,0],[0,1,-1,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,0,1],[0,0,0,1,0,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,0,1],[0,0,0,1,-1,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[1,0,-1,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,-1,0,1],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,-1,1,-1,1,0],[0,1,-1,1,-1,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,-1,1,0,0,0],[1,0,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,0,1,0,0,0],[1,0,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,-1,1,0],[0,0,0,1,0,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,0,0,1,0,-1,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,0,1,0,0],[0,0,1,-1,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[1,0,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,-1,0,1,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,1,0,-1,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,1,0,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,1,0,0,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,1,0,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,-1,1,0,0,0],[0,1,0,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,1,0,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,0,1,0,0,0],[0,1,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,1,0,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,1,0,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,1,0,0,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,0,0,1,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,0,1,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,0,1,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,1,0],[0,0,0,1,0,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,0,1,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,0,1,0],[0,0,0,1,-1,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,0,1,0],[0,0,0,1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,0,0,1,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,0,1,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,-1,1,0,0,0,0],[1,-1,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,1,0,0],[0,0,1,0,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,-1,0,1,0,0,0],[0,0,1,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,1,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,-1,1,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,1,0,0,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,0,1,0,0,0],[0,1,-1,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,0,1],[0,0,0,1,0,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,0,1],[0,0,0,1,-1,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,-1,1,0,0,0],[0,1,-1,1,-1,1,-1,1,-1,1,0,0],[1,-1,1,-1,1,-1,1,-1,1,-1,0,1],[0,1,-1,1,-1,1,-1,1,-1,0,1,0],[0,0,1,-1,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,-1,1],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,-1,1,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,-1,1],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,0,1,0],[0,0,1,-1,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,-1,1],[0,0,0,1,-1,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,0,1,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,0,1,0,0,0],[1,0,-1,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[1,0,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,0,1,0],[0,0,1,0,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,0,1,0],[0,0,1,0,-1,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,0,1,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,0,1,0],[0,0,0,1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,1,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,0,-1,1,0,0],[1,0,-1,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,1,0,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[1,0,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,-1,0,1,0,0],[1,0,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,-1,1,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,0,1,0],[0,0,1,0,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,0,1,0,0],[0,1,0,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,1,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,-1,1,0,0],[0,1,-1,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,0,1],[0,0,1,0,-1,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,0,1,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,-1,0,1],[0,0,1,-1,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,0,1,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,1,0,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,1,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,1,0,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,0,1],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,-1,0,1,0,0],[0,1,0,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,0,1,0,0],[0,1,0,-1,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,0,1],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,0,1,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,0,1],[0,0,0,1,0,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,0,1,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,-1,1,0,0,0],[1,-1,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,-1,1,0,0],[0,1,0,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,1,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,1,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[1,-1,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,-1,1,0,0],[0,1,-1,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,-1,0,1,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[1,0,0,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,-1,0,0,1,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[1,0,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,-1,1,0,0,0,0,0],[0,1,0,0,-1,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,0,1,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,0,1,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,1,0],[0,0,0,0,1,0,-1,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[1,0,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[1,0,0,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,0,1],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,-1,1,0,0,0,0],[0,1,0,-1,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,-1,1,0,0,0,0,0,0],[1,-1,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0]=>[[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,-1,1],[1,0,0,0,0,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,-1,1,0,0,0],[0,0,1,0,-1,1,-1,1,-1,1,0,0],[0,1,0,-1,1,-1,1,-1,1,-1,1,0],[1,0,-1,1,-1,1,-1,1,-1,1,-1,1],[0,0,1,-1,1,-1,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1,-1,1,0,0],[0,0,0,0,1,-1,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,1,-1,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,1,0,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,-1,0,1,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,-1,0,1,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,-1,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0]]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[1,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,1,-1,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,1,-1,1,0,-1,0,1,-1,1,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,-1,1,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[0,0,1,0,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,0,1,0,0,0],[0,0,1,0,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,0,1,0,0],[0,0,0,1,0,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,-1,1,0],[0,0,0,0,1,0,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,-1,1,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[[0,1,0,0,0,0,0,0,0,0,0,0],[1,-1,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,0,0,1,0,0,0],[0,0,0,1,-1,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,0,1,0,0],[0,0,0,0,1,0,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,-1,1,0],[0,0,0,0,0,1,0,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0,0,0,0],[0,1,0,-1,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[0,0,1,0,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,1,0,0,0,0],[0,0,0,0,0,0,1,-1,0,1,0,0],[0,0,0,0,0,1,-1,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,-1,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,-1,1,0],[0,0,0,0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,-1,0,1,0,0],[0,0,0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,0,1,0,0,0],[0,1,-1,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0,0,0,0],[1,-1,0,1,-1,0,0,1,0,0,0,0],[0,0,1,-1,0,0,1,-1,1,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,0,1,0,0,0],[0,1,-1,1,0,-1,0,1,-1,1,0,0],[0,0,1,0,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,1,0,0,0,0,0,0],[1,-1,0,0,1,-1,0,1,0,0,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,0,0,1,0,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[[0,0,1,0,0,0,0,0,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0,0,0],[1,-1,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,-1,1,0,0],[0,0,1,0,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,1,0,0,0,0,0],[0,1,0,-1,0,1,-1,0,1,0,0,0],[0,0,0,0,1,-1,0,1,-1,1,0,0],[0,0,0,1,-1,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0,0,0],[1,-1,1,0,-1,0,0,1,0,0,0,0],[0,1,0,-1,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,-1,1,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,0,0,1,0,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,-1,0,1,0,0,0],[0,0,1,0,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,0,0,0,0,0],[0,1,0,-1,1,0,-1,0,1,0,0,0],[0,0,0,1,0,-1,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,1,0,0,0,0,0,0],[0,1,-1,0,1,-1,0,1,0,0,0,0],[1,-1,0,1,-1,0,1,-1,1,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,-1,1,0,0],[0,0,0,1,0,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,1,0,0,0,0,0,0,0,0],[0,0,1,-1,0,0,1,0,0,0,0,0],[0,1,-1,0,0,1,-1,1,0,0,0,0],[1,-1,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,-1,1,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[0,0,1,0,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0,0,0],[0,1,-1,1,0,-1,0,1,0,0,0,0],[1,-1,1,0,-1,0,1,-1,1,0,0,0],[0,1,0,-1,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,-1,1,0,0],[0,0,0,0,1,0,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,0,1,0,0,0,0,0,0,0],[0,0,0,1,-1,0,1,0,0,0,0,0],[0,0,1,-1,0,1,-1,1,0,0,0,0],[0,1,-1,0,1,-1,1,0,0,0,0,0],[1,-1,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,-1,1,0,0,0],[0,1,-1,1,0,0,-1,1,0,0,0,0],[0,0,1,0,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[[0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,-1,1,0,0,0,0],[0,1,-1,1,0,-1,1,0,0,0,0,0],[1,-1,1,0,-1,1,0,-1,1,0,0,0],[0,1,0,-1,1,0,-1,1,0,0,0,0],[0,0,0,1,0,-1,1,0,-1,1,0,0],[0,0,0,0,0,1,0,-1,1,0,0,0],[0,0,0,0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,0,0,1,0]]
          

click to show experimental identities (only identities of compositions of up to three maps are shown)

Description

The diagonally symmetric alternating sign matrix corresponding to a Dyck path.

References

[1] Rubey, M. The set of alternating sign matrices which are determined by their X-ray is a member of the Catalan family arXiv:1707.06802

Properties

injective, graded

Sage code

def mapping(D):
    n = D.semilength()
    M = zero_matrix(ZZ,n)
    H = D.heights()
    for p in D.peaks():
        P = D[:p]
        (i, j) = P.count(1), P.count(0)
        for k in range(H[p]+1):
            M[(i-k,j+k)] = 1
    for v in D.valleys():
        P = D[:v+1]
        (i, j) = P.count(1), P.count(0)
        for k in range(H[v+1]):
            M[(i-k-1,j+k)] = -1            
    return AlternatingSignMatrix(M)

Weight

Created

Jan 29, 2020 at 13:27 by FindStatCrew

Updated

Jan 29, 2020 at 13:27 by Martin Rubey