Identifier
Mp00098:
Alternating sign matrices
—link pattern⟶
Perfect matchings
Mp00150: Perfect matchings —to Dyck path⟶ Dyck paths
Mp00143: Dyck paths —inverse promotion⟶ Dyck paths
Mp00150: Perfect matchings —to Dyck path⟶ Dyck paths
Mp00143: Dyck paths —inverse promotion⟶ Dyck paths
Images
=>
Cc0017;cc-rep-0Cc0012;cc-rep-1Cc0005;cc-rep-2Cc0005;cc-rep-3
[[1]]=>[(1,2)]=>[1,0]=>[1,0]
[[1,0],[0,1]]=>[(1,4),(2,3)]=>[1,1,0,0]=>[1,0,1,0]
[[0,1],[1,0]]=>[(1,2),(3,4)]=>[1,0,1,0]=>[1,1,0,0]
[[1,0,0],[0,1,0],[0,0,1]]=>[(1,6),(2,5),(3,4)]=>[1,1,1,0,0,0]=>[1,1,0,0,1,0]
[[0,1,0],[1,0,0],[0,0,1]]=>[(1,2),(3,4),(5,6)]=>[1,0,1,0,1,0]=>[1,1,0,1,0,0]
[[1,0,0],[0,0,1],[0,1,0]]=>[(1,6),(2,3),(4,5)]=>[1,1,0,1,0,0]=>[1,0,1,0,1,0]
[[0,1,0],[1,-1,1],[0,1,0]]=>[(1,2),(3,6),(4,5)]=>[1,0,1,1,0,0]=>[1,1,1,0,0,0]
[[0,0,1],[1,0,0],[0,1,0]]=>[(1,6),(2,3),(4,5)]=>[1,1,0,1,0,0]=>[1,0,1,0,1,0]
[[0,1,0],[0,0,1],[1,0,0]]=>[(1,2),(3,4),(5,6)]=>[1,0,1,0,1,0]=>[1,1,0,1,0,0]
[[0,0,1],[0,1,0],[1,0,0]]=>[(1,4),(2,3),(5,6)]=>[1,1,0,0,1,0]=>[1,0,1,1,0,0]
[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]=>[(1,8),(2,7),(3,6),(4,5)]=>[1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0]
[[0,1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]]=>[(1,2),(3,6),(4,5),(7,8)]=>[1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0]
[[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]
[[0,1,0,0],[1,-1,1,0],[0,1,0,0],[0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7)]=>[1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,0]
[[0,0,1,0],[1,0,0,0],[0,1,0,0],[0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]
[[0,1,0,0],[0,0,1,0],[1,0,0,0],[0,0,0,1]]=>[(1,2),(3,6),(4,5),(7,8)]=>[1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0]
[[0,0,1,0],[0,1,0,0],[1,0,0,0],[0,0,0,1]]=>[(1,6),(2,3),(4,5),(7,8)]=>[1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0]
[[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0]]=>[(1,8),(2,7),(3,4),(5,6)]=>[1,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0]
[[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8)]=>[1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0]
[[1,0,0,0],[0,0,1,0],[0,1,-1,1],[0,0,1,0]]=>[(1,8),(2,3),(4,7),(5,6)]=>[1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0]
[[0,1,0,0],[1,-1,1,0],[0,1,-1,1],[0,0,1,0]]=>[(1,2),(3,8),(4,7),(5,6)]=>[1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,0]
[[0,0,1,0],[1,0,0,0],[0,1,-1,1],[0,0,1,0]]=>[(1,8),(2,3),(4,7),(5,6)]=>[1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0]
[[0,1,0,0],[0,0,1,0],[1,0,-1,1],[0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8)]=>[1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0]
[[0,0,1,0],[0,1,0,0],[1,0,-1,1],[0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8)]=>[1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0]
[[1,0,0,0],[0,0,0,1],[0,1,0,0],[0,0,1,0]]=>[(1,8),(2,7),(3,4),(5,6)]=>[1,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0]
[[0,1,0,0],[1,-1,0,1],[0,1,0,0],[0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8)]=>[1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0]
[[0,0,1,0],[1,0,-1,1],[0,1,0,0],[0,0,1,0]]=>[(1,8),(2,7),(3,4),(5,6)]=>[1,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0]
[[0,0,0,1],[1,0,0,0],[0,1,0,0],[0,0,1,0]]=>[(1,8),(2,3),(4,7),(5,6)]=>[1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0]
[[0,1,0,0],[0,0,0,1],[1,0,0,0],[0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8)]=>[1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0]
[[0,0,1,0],[0,1,-1,1],[1,0,0,0],[0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8)]=>[1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0]
[[0,0,0,1],[0,1,0,0],[1,0,0,0],[0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8)]=>[1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0]
[[1,0,0,0],[0,0,1,0],[0,0,0,1],[0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]
[[0,1,0,0],[1,-1,1,0],[0,0,0,1],[0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7)]=>[1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,0]
[[0,0,1,0],[1,0,0,0],[0,0,0,1],[0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]
[[0,1,0,0],[0,0,1,0],[1,-1,0,1],[0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8)]=>[1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0]
[[0,0,1,0],[0,1,0,0],[1,-1,0,1],[0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8)]=>[1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0]
[[1,0,0,0],[0,0,0,1],[0,0,1,0],[0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7)]=>[1,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0]
[[0,1,0,0],[1,-1,0,1],[0,0,1,0],[0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7)]=>[1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0]
[[0,0,1,0],[1,0,-1,1],[0,0,1,0],[0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7)]=>[1,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0]
[[0,0,0,1],[1,0,0,0],[0,0,1,0],[0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]
[[0,1,0,0],[0,0,0,1],[1,-1,1,0],[0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8)]=>[1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0]
[[0,0,1,0],[0,1,-1,1],[1,-1,1,0],[0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8)]=>[1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0]
[[0,0,0,1],[0,1,0,0],[1,-1,1,0],[0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8)]=>[1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0]
[[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8)]=>[1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0]
[[0,0,0,1],[0,0,1,0],[1,0,0,0],[0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8)]=>[1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0]
[[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0]]=>[(1,2),(3,8),(4,5),(6,7)]=>[1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,0]
[[0,0,1,0],[0,1,0,0],[0,0,0,1],[1,0,0,0]]=>[(1,8),(2,3),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]
[[0,1,0,0],[0,0,0,1],[0,0,1,0],[1,0,0,0]]=>[(1,2),(3,4),(5,8),(6,7)]=>[1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0]
[[0,0,1,0],[0,1,-1,1],[0,0,1,0],[1,0,0,0]]=>[(1,8),(2,5),(3,4),(6,7)]=>[1,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0]
[[0,0,0,1],[0,1,0,0],[0,0,1,0],[1,0,0,0]]=>[(1,8),(2,3),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]
[[0,0,1,0],[0,0,0,1],[0,1,0,0],[1,0,0,0]]=>[(1,2),(3,4),(5,8),(6,7)]=>[1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0]
[[0,0,0,1],[0,0,1,0],[0,1,0,0],[1,0,0,0]]=>[(1,4),(2,3),(5,8),(6,7)]=>[1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[(1,10),(2,9),(3,8),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0]
[[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]]=>[(1,2),(3,8),(4,7),(5,6),(9,10)]=>[1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[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]]=>[(1,2),(3,10),(4,7),(5,6),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[(1,2),(3,8),(4,7),(5,6),(9,10)]=>[1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>[(1,8),(2,3),(4,7),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]
[[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]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[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]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[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],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[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]]=>[(1,2),(3,10),(4,9),(5,6),(7,8)]=>[1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[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],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[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]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,2),(3,10),(4,7),(5,6),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,2),(3,8),(4,7),(5,6),(9,10)]=>[1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,8),(2,3),(4,7),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,8),(2,7),(3,4),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,8),(2,3),(4,7),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]]=>[(1,2),(3,10),(4,7),(5,6),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[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]]=>[(1,4),(2,3),(5,6),(7,10),(8,9)]=>[1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[(1,10),(2,9),(3,8),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[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],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[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],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[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]]=>[(1,10),(2,3),(4,9),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0]
[[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]]=>[(1,2),(3,10),(4,9),(5,8),(6,7)]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10)]=>[1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10)]=>[1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[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],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[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]]=>[(1,8),(2,5),(3,4),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10)]=>[1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[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]]=>[(1,4),(2,3),(5,10),(6,7),(8,9)]=>[1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,10),(2,9),(3,8),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[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],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,10),(2,9),(3,8),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,10),(2,9),(3,8),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10)]=>[1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[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],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[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],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[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],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]
[[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]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10)]=>[1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[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],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[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],[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9)]=>[1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[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],[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8)]=>[1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[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],[1,0,-1,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10)]=>[1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,8),(2,7),(3,4),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9)]=>[1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0]
[[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]]=>[(1,10),(2,9),(3,6),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[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]]=>[(1,2),(3,10),(4,5),(6,9),(7,8)]=>[1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[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]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,7),(3,6),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0]
[[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]]=>[(1,2),(3,6),(4,5),(7,10),(8,9)]=>[1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,7),(3,6),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[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]]=>[(1,8),(2,7),(3,6),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,8),(2,7),(3,4),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[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],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,8),(2,7),(3,4),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[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,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[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],[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9)]=>[1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,7),(3,6),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9)]=>[1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0]
[[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]]=>[(1,6),(2,3),(4,5),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9)]=>[1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10)]=>[1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[[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]]=>[(1,8),(2,5),(3,4),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9)]=>[1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8)]=>[1,0,1,1,1,0,1,0,0,0]=>[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],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[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],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8)]=>[1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8)]=>[1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8)]=>[1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[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]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[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],[0,1,-1,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8)]=>[1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0]
[[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]]=>[(1,2),(3,4),(5,10),(6,9),(7,8)]=>[1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0]
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0]
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0]
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0]
[[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8)]=>[1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8)]=>[1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8)]=>[1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8)]=>[1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8)]=>[1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8)]=>[1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0]
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]
[[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]]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9)]=>[1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0]
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[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],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[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],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9)]=>[1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,10),(2,7),(3,6),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9)]=>[1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9)]=>[1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9)]=>[1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9)]=>[1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0]
[[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9)]=>[1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0]
[[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]]=>[(1,6),(2,5),(3,4),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0]=>[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],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[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]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[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],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[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,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[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]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[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]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[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,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[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],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[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,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[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,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[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]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]]=>[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[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,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[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]]=>[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]
[[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,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[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,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[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,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[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],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[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,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[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,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[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,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[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,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[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,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[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],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[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,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[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,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[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,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[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,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[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],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[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],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[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,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[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,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[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],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[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,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[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,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[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,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[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,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[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,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[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,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[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,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]
[[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]]=>[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]]=>[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[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],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[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],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[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],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[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],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[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],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[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],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[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,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[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],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[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],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[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,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]]=>[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[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],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[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,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[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,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[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],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[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],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[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,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[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,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[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,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[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,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[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,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[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],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[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,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[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,-1,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[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,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[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]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[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]]=>[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[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],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[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,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[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,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[[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]]=>[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[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]]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]
[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]]=>[(1