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Identifier
Mp00150: Perfect matchings —to Dyck path⟶ Dyck paths
Images
=>
Cc0012;cc-rep-0Cc0005;cc-rep-1
[(1,2)]=>[1,0] [(1,2),(3,4)]=>[1,0,1,0] [(1,3),(2,4)]=>[1,1,0,0] [(1,4),(2,3)]=>[1,1,0,0] [(1,2),(3,4),(5,6)]=>[1,0,1,0,1,0] [(1,3),(2,4),(5,6)]=>[1,1,0,0,1,0] [(1,4),(2,3),(5,6)]=>[1,1,0,0,1,0] [(1,5),(2,3),(4,6)]=>[1,1,0,1,0,0] [(1,6),(2,3),(4,5)]=>[1,1,0,1,0,0] [(1,6),(2,4),(3,5)]=>[1,1,1,0,0,0] [(1,5),(2,4),(3,6)]=>[1,1,1,0,0,0] [(1,4),(2,5),(3,6)]=>[1,1,1,0,0,0] [(1,3),(2,5),(4,6)]=>[1,1,0,1,0,0] [(1,2),(3,5),(4,6)]=>[1,0,1,1,0,0] [(1,2),(3,6),(4,5)]=>[1,0,1,1,0,0] [(1,3),(2,6),(4,5)]=>[1,1,0,1,0,0] [(1,4),(2,6),(3,5)]=>[1,1,1,0,0,0] [(1,5),(2,6),(3,4)]=>[1,1,1,0,0,0] [(1,6),(2,5),(3,4)]=>[1,1,1,0,0,0] [(1,2),(3,4),(5,6),(7,8)]=>[1,0,1,0,1,0,1,0] [(1,3),(2,4),(5,6),(7,8)]=>[1,1,0,0,1,0,1,0] [(1,4),(2,3),(5,6),(7,8)]=>[1,1,0,0,1,0,1,0] [(1,5),(2,3),(4,6),(7,8)]=>[1,1,0,1,0,0,1,0] [(1,6),(2,3),(4,5),(7,8)]=>[1,1,0,1,0,0,1,0] [(1,7),(2,3),(4,5),(6,8)]=>[1,1,0,1,0,1,0,0] [(1,8),(2,3),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0] [(1,8),(2,4),(3,5),(6,7)]=>[1,1,1,0,0,1,0,0] [(1,7),(2,4),(3,5),(6,8)]=>[1,1,1,0,0,1,0,0] [(1,6),(2,4),(3,5),(7,8)]=>[1,1,1,0,0,0,1,0] [(1,5),(2,4),(3,6),(7,8)]=>[1,1,1,0,0,0,1,0] [(1,4),(2,5),(3,6),(7,8)]=>[1,1,1,0,0,0,1,0] [(1,3),(2,5),(4,6),(7,8)]=>[1,1,0,1,0,0,1,0] [(1,2),(3,5),(4,6),(7,8)]=>[1,0,1,1,0,0,1,0] [(1,2),(3,6),(4,5),(7,8)]=>[1,0,1,1,0,0,1,0] [(1,3),(2,6),(4,5),(7,8)]=>[1,1,0,1,0,0,1,0] [(1,4),(2,6),(3,5),(7,8)]=>[1,1,1,0,0,0,1,0] [(1,5),(2,6),(3,4),(7,8)]=>[1,1,1,0,0,0,1,0] [(1,6),(2,5),(3,4),(7,8)]=>[1,1,1,0,0,0,1,0] [(1,7),(2,5),(3,4),(6,8)]=>[1,1,1,0,0,1,0,0] [(1,8),(2,5),(3,4),(6,7)]=>[1,1,1,0,0,1,0,0] [(1,8),(2,6),(3,4),(5,7)]=>[1,1,1,0,1,0,0,0] [(1,7),(2,6),(3,4),(5,8)]=>[1,1,1,0,1,0,0,0] [(1,6),(2,7),(3,4),(5,8)]=>[1,1,1,0,1,0,0,0] [(1,5),(2,7),(3,4),(6,8)]=>[1,1,1,0,0,1,0,0] [(1,4),(2,7),(3,5),(6,8)]=>[1,1,1,0,0,1,0,0] [(1,3),(2,7),(4,5),(6,8)]=>[1,1,0,1,0,1,0,0] [(1,2),(3,7),(4,5),(6,8)]=>[1,0,1,1,0,1,0,0] [(1,2),(3,8),(4,5),(6,7)]=>[1,0,1,1,0,1,0,0] [(1,3),(2,8),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0] [(1,4),(2,8),(3,5),(6,7)]=>[1,1,1,0,0,1,0,0] [(1,5),(2,8),(3,4),(6,7)]=>[1,1,1,0,0,1,0,0] [(1,6),(2,8),(3,4),(5,7)]=>[1,1,1,0,1,0,0,0] [(1,7),(2,8),(3,4),(5,6)]=>[1,1,1,0,1,0,0,0] [(1,8),(2,7),(3,4),(5,6)]=>[1,1,1,0,1,0,0,0] [(1,8),(2,7),(3,5),(4,6)]=>[1,1,1,1,0,0,0,0] [(1,7),(2,8),(3,5),(4,6)]=>[1,1,1,1,0,0,0,0] [(1,6),(2,8),(3,5),(4,7)]=>[1,1,1,1,0,0,0,0] [(1,5),(2,8),(3,6),(4,7)]=>[1,1,1,1,0,0,0,0] [(1,4),(2,8),(3,6),(5,7)]=>[1,1,1,0,1,0,0,0] [(1,3),(2,8),(4,6),(5,7)]=>[1,1,0,1,1,0,0,0] [(1,2),(3,8),(4,6),(5,7)]=>[1,0,1,1,1,0,0,0] [(1,2),(3,7),(4,6),(5,8)]=>[1,0,1,1,1,0,0,0] [(1,3),(2,7),(4,6),(5,8)]=>[1,1,0,1,1,0,0,0] [(1,4),(2,7),(3,6),(5,8)]=>[1,1,1,0,1,0,0,0] [(1,5),(2,7),(3,6),(4,8)]=>[1,1,1,1,0,0,0,0] [(1,6),(2,7),(3,5),(4,8)]=>[1,1,1,1,0,0,0,0] [(1,7),(2,6),(3,5),(4,8)]=>[1,1,1,1,0,0,0,0] [(1,8),(2,6),(3,5),(4,7)]=>[1,1,1,1,0,0,0,0] [(1,8),(2,5),(3,6),(4,7)]=>[1,1,1,1,0,0,0,0] [(1,7),(2,5),(3,6),(4,8)]=>[1,1,1,1,0,0,0,0] [(1,6),(2,5),(3,7),(4,8)]=>[1,1,1,1,0,0,0,0] [(1,5),(2,6),(3,7),(4,8)]=>[1,1,1,1,0,0,0,0] [(1,4),(2,6),(3,7),(5,8)]=>[1,1,1,0,1,0,0,0] [(1,3),(2,6),(4,7),(5,8)]=>[1,1,0,1,1,0,0,0] [(1,2),(3,6),(4,7),(5,8)]=>[1,0,1,1,1,0,0,0] [(1,2),(3,5),(4,7),(6,8)]=>[1,0,1,1,0,1,0,0] [(1,3),(2,5),(4,7),(6,8)]=>[1,1,0,1,0,1,0,0] [(1,4),(2,5),(3,7),(6,8)]=>[1,1,1,0,0,1,0,0] [(1,5),(2,4),(3,7),(6,8)]=>[1,1,1,0,0,1,0,0] [(1,6),(2,4),(3,7),(5,8)]=>[1,1,1,0,1,0,0,0] [(1,7),(2,4),(3,6),(5,8)]=>[1,1,1,0,1,0,0,0] [(1,8),(2,4),(3,6),(5,7)]=>[1,1,1,0,1,0,0,0] [(1,8),(2,3),(4,6),(5,7)]=>[1,1,0,1,1,0,0,0] [(1,7),(2,3),(4,6),(5,8)]=>[1,1,0,1,1,0,0,0] [(1,6),(2,3),(4,7),(5,8)]=>[1,1,0,1,1,0,0,0] [(1,5),(2,3),(4,7),(6,8)]=>[1,1,0,1,0,1,0,0] [(1,4),(2,3),(5,7),(6,8)]=>[1,1,0,0,1,1,0,0] [(1,3),(2,4),(5,7),(6,8)]=>[1,1,0,0,1,1,0,0] [(1,2),(3,4),(5,7),(6,8)]=>[1,0,1,0,1,1,0,0] [(1,2),(3,4),(5,8),(6,7)]=>[1,0,1,0,1,1,0,0] [(1,3),(2,4),(5,8),(6,7)]=>[1,1,0,0,1,1,0,0] [(1,4),(2,3),(5,8),(6,7)]=>[1,1,0,0,1,1,0,0] [(1,5),(2,3),(4,8),(6,7)]=>[1,1,0,1,0,1,0,0] [(1,6),(2,3),(4,8),(5,7)]=>[1,1,0,1,1,0,0,0] [(1,7),(2,3),(4,8),(5,6)]=>[1,1,0,1,1,0,0,0] [(1,8),(2,3),(4,7),(5,6)]=>[1,1,0,1,1,0,0,0] [(1,8),(2,4),(3,7),(5,6)]=>[1,1,1,0,1,0,0,0] [(1,7),(2,4),(3,8),(5,6)]=>[1,1,1,0,1,0,0,0] [(1,6),(2,4),(3,8),(5,7)]=>[1,1,1,0,1,0,0,0] [(1,5),(2,4),(3,8),(6,7)]=>[1,1,1,0,0,1,0,0] [(1,4),(2,5),(3,8),(6,7)]=>[1,1,1,0,0,1,0,0] [(1,3),(2,5),(4,8),(6,7)]=>[1,1,0,1,0,1,0,0] [(1,2),(3,5),(4,8),(6,7)]=>[1,0,1,1,0,1,0,0] [(1,2),(3,6),(4,8),(5,7)]=>[1,0,1,1,1,0,0,0] [(1,3),(2,6),(4,8),(5,7)]=>[1,1,0,1,1,0,0,0] [(1,4),(2,6),(3,8),(5,7)]=>[1,1,1,0,1,0,0,0] [(1,5),(2,6),(3,8),(4,7)]=>[1,1,1,1,0,0,0,0] [(1,6),(2,5),(3,8),(4,7)]=>[1,1,1,1,0,0,0,0] [(1,7),(2,5),(3,8),(4,6)]=>[1,1,1,1,0,0,0,0] [(1,8),(2,5),(3,7),(4,6)]=>[1,1,1,1,0,0,0,0] [(1,8),(2,6),(3,7),(4,5)]=>[1,1,1,1,0,0,0,0] [(1,7),(2,6),(3,8),(4,5)]=>[1,1,1,1,0,0,0,0] [(1,6),(2,7),(3,8),(4,5)]=>[1,1,1,1,0,0,0,0] [(1,5),(2,7),(3,8),(4,6)]=>[1,1,1,1,0,0,0,0] [(1,4),(2,7),(3,8),(5,6)]=>[1,1,1,0,1,0,0,0] [(1,3),(2,7),(4,8),(5,6)]=>[1,1,0,1,1,0,0,0] [(1,2),(3,7),(4,8),(5,6)]=>[1,0,1,1,1,0,0,0] [(1,2),(3,8),(4,7),(5,6)]=>[1,0,1,1,1,0,0,0] [(1,3),(2,8),(4,7),(5,6)]=>[1,1,0,1,1,0,0,0] [(1,4),(2,8),(3,7),(5,6)]=>[1,1,1,0,1,0,0,0] [(1,5),(2,8),(3,7),(4,6)]=>[1,1,1,1,0,0,0,0] [(1,6),(2,8),(3,7),(4,5)]=>[1,1,1,1,0,0,0,0] [(1,7),(2,8),(3,6),(4,5)]=>[1,1,1,1,0,0,0,0] [(1,8),(2,7),(3,6),(4,5)]=>[1,1,1,1,0,0,0,0] [(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0] [(1,3),(2,4),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0] [(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0] [(1,5),(2,3),(4,6),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0] [(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0] [(1,7),(2,3),(4,5),(6,8),(9,10)]=>[1,1,0,1,0,1,0,0,1,0] [(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0] [(1,9),(2,3),(4,5),(6,7),(8,10)]=>[1,1,0,1,0,1,0,1,0,0] [(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0] [(1,10),(2,4),(3,5),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,9),(2,4),(3,5),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,8),(2,4),(3,5),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,7),(2,4),(3,5),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,6),(2,4),(3,5),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0] [(1,5),(2,4),(3,6),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0] [(1,4),(2,5),(3,6),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0] [(1,3),(2,5),(4,6),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0] [(1,2),(3,5),(4,6),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0] [(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0] [(1,3),(2,6),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0] [(1,4),(2,6),(3,5),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0] [(1,5),(2,6),(3,4),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0] [(1,6),(2,5),(3,4),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0] [(1,7),(2,5),(3,4),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,8),(2,5),(3,4),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,9),(2,5),(3,4),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,10),(2,6),(3,4),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,9),(2,6),(3,4),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,8),(2,6),(3,4),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,7),(2,6),(3,4),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,6),(2,7),(3,4),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,5),(2,7),(3,4),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,4),(2,7),(3,5),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,3),(2,7),(4,5),(6,8),(9,10)]=>[1,1,0,1,0,1,0,0,1,0] [(1,2),(3,7),(4,5),(6,8),(9,10)]=>[1,0,1,1,0,1,0,0,1,0] [(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0] [(1,3),(2,8),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0] [(1,4),(2,8),(3,5),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,5),(2,8),(3,4),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,6),(2,8),(3,4),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,7),(2,8),(3,4),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,8),(2,7),(3,4),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,9),(2,7),(3,4),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,10),(2,8),(3,4),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,9),(2,8),(3,4),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,8),(2,9),(3,4),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,7),(2,9),(3,4),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,6),(2,9),(3,4),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,5),(2,9),(3,4),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,4),(2,9),(3,5),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,3),(2,9),(4,5),(6,7),(8,10)]=>[1,1,0,1,0,1,0,1,0,0] [(1,2),(3,9),(4,5),(6,7),(8,10)]=>[1,0,1,1,0,1,0,1,0,0] [(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0] [(1,3),(2,10),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0] [(1,4),(2,10),(3,5),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,5),(2,10),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,6),(2,10),(3,4),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,7),(2,10),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,8),(2,10),(3,4),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,9),(2,10),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,10),(2,9),(3,5),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,10),(3,5),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,8),(2,10),(3,5),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,10),(3,5),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,10),(3,5),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,5),(2,10),(3,6),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,4),(2,10),(3,6),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,3),(2,10),(4,6),(5,7),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,2),(3,10),(4,6),(5,7),(8,9)]=>[1,0,1,1,1,0,0,1,0,0] [(1,2),(3,9),(4,6),(5,7),(8,10)]=>[1,0,1,1,1,0,0,1,0,0] [(1,3),(2,9),(4,6),(5,7),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,4),(2,9),(3,6),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,5),(2,9),(3,6),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,9),(3,5),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,7),(2,9),(3,5),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,8),(2,9),(3,5),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,8),(3,5),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,8),(3,5),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,7),(3,5),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,9),(2,7),(3,5),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,8),(2,7),(3,5),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,7),(2,8),(3,5),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,6),(2,8),(3,5),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,5),(2,8),(3,6),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,4),(2,8),(3,6),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,3),(2,8),(4,6),(5,7),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,2),(3,8),(4,6),(5,7),(9,10)]=>[1,0,1,1,1,0,0,0,1,0] [(1,2),(3,7),(4,6),(5,8),(9,10)]=>[1,0,1,1,1,0,0,0,1,0] [(1,3),(2,7),(4,6),(5,8),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,4),(2,7),(3,6),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,5),(2,7),(3,6),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,6),(2,7),(3,5),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,7),(2,6),(3,5),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,8),(2,6),(3,5),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,9),(2,6),(3,5),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,10),(2,6),(3,5),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,10),(2,5),(3,6),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,9),(2,5),(3,6),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,8),(2,5),(3,6),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,7),(2,5),(3,6),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,6),(2,5),(3,7),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,5),(2,6),(3,7),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,4),(2,6),(3,7),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,3),(2,6),(4,7),(5,8),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,2),(3,6),(4,7),(5,8),(9,10)]=>[1,0,1,1,1,0,0,0,1,0] [(1,2),(3,5),(4,7),(6,8),(9,10)]=>[1,0,1,1,0,1,0,0,1,0] [(1,3),(2,5),(4,7),(6,8),(9,10)]=>[1,1,0,1,0,1,0,0,1,0] [(1,4),(2,5),(3,7),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,5),(2,4),(3,7),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,6),(2,4),(3,7),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,7),(2,4),(3,6),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,8),(2,4),(3,6),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,9),(2,4),(3,6),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,10),(2,4),(3,6),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,10),(2,3),(4,6),(5,7),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,9),(2,3),(4,6),(5,7),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,8),(2,3),(4,6),(5,7),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,7),(2,3),(4,6),(5,8),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,6),(2,3),(4,7),(5,8),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,5),(2,3),(4,7),(6,8),(9,10)]=>[1,1,0,1,0,1,0,0,1,0] [(1,4),(2,3),(5,7),(6,8),(9,10)]=>[1,1,0,0,1,1,0,0,1,0] [(1,3),(2,4),(5,7),(6,8),(9,10)]=>[1,1,0,0,1,1,0,0,1,0] [(1,2),(3,4),(5,7),(6,8),(9,10)]=>[1,0,1,0,1,1,0,0,1,0] [(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0] [(1,3),(2,4),(5,8),(6,7),(9,10)]=>[1,1,0,0,1,1,0,0,1,0] [(1,4),(2,3),(5,8),(6,7),(9,10)]=>[1,1,0,0,1,1,0,0,1,0] [(1,5),(2,3),(4,8),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0] [(1,6),(2,3),(4,8),(5,7),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,7),(2,3),(4,8),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,8),(2,3),(4,7),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,9),(2,3),(4,7),(5,6),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,10),(2,4),(3,7),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,9),(2,4),(3,7),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,8),(2,4),(3,7),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,7),(2,4),(3,8),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,6),(2,4),(3,8),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,5),(2,4),(3,8),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,4),(2,5),(3,8),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0] [(1,3),(2,5),(4,8),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0] [(1,2),(3,5),(4,8),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0] [(1,2),(3,6),(4,8),(5,7),(9,10)]=>[1,0,1,1,1,0,0,0,1,0] [(1,3),(2,6),(4,8),(5,7),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,4),(2,6),(3,8),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,5),(2,6),(3,8),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,6),(2,5),(3,8),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,7),(2,5),(3,8),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,8),(2,5),(3,7),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,9),(2,5),(3,7),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,10),(2,5),(3,7),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,10),(2,6),(3,7),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,9),(2,6),(3,7),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,8),(2,6),(3,7),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,7),(2,6),(3,8),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,6),(2,7),(3,8),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,5),(2,7),(3,8),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,4),(2,7),(3,8),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,3),(2,7),(4,8),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,2),(3,7),(4,8),(5,6),(9,10)]=>[1,0,1,1,1,0,0,0,1,0] [(1,2),(3,8),(4,7),(5,6),(9,10)]=>[1,0,1,1,1,0,0,0,1,0] [(1,3),(2,8),(4,7),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0] [(1,4),(2,8),(3,7),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0] [(1,5),(2,8),(3,7),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,6),(2,8),(3,7),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,7),(2,8),(3,6),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,8),(2,7),(3,6),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0] [(1,9),(2,7),(3,6),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,10),(2,7),(3,6),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,10),(2,8),(3,6),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,8),(3,6),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,8),(2,9),(3,6),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,9),(3,6),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,9),(3,7),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,5),(2,9),(3,7),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,4),(2,9),(3,7),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,3),(2,9),(4,7),(5,6),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,2),(3,9),(4,7),(5,6),(8,10)]=>[1,0,1,1,1,0,0,1,0,0] [(1,2),(3,10),(4,7),(5,6),(8,9)]=>[1,0,1,1,1,0,0,1,0,0] [(1,3),(2,10),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,4),(2,10),(3,7),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,5),(2,10),(3,7),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,10),(3,7),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,7),(2,10),(3,6),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,8),(2,10),(3,6),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,10),(3,6),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,9),(3,6),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,9),(3,7),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,10),(3,7),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,10),(3,7),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,7),(2,10),(3,8),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,10),(3,8),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,5),(2,10),(3,8),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,4),(2,10),(3,8),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,3),(2,10),(4,8),(5,6),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,2),(3,10),(4,8),(5,6),(7,9)]=>[1,0,1,1,1,0,1,0,0,0] [(1,2),(3,9),(4,8),(5,6),(7,10)]=>[1,0,1,1,1,0,1,0,0,0] [(1,3),(2,9),(4,8),(5,6),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,4),(2,9),(3,8),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,9),(3,8),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,6),(2,9),(3,8),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,9),(3,8),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,9),(3,7),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,8),(3,7),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,8),(3,7),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,7),(3,8),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,7),(3,8),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,7),(3,9),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,7),(2,8),(3,9),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,8),(3,9),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,5),(2,8),(3,9),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,4),(2,8),(3,9),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,3),(2,8),(4,9),(5,6),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,2),(3,8),(4,9),(5,6),(7,10)]=>[1,0,1,1,1,0,1,0,0,0] [(1,2),(3,7),(4,9),(5,6),(8,10)]=>[1,0,1,1,1,0,0,1,0,0] [(1,3),(2,7),(4,9),(5,6),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,4),(2,7),(3,9),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,5),(2,7),(3,9),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,7),(3,9),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,7),(2,6),(3,9),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,8),(2,6),(3,9),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,6),(3,8),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,6),(3,8),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,5),(3,8),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,5),(3,8),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,8),(2,5),(3,9),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,5),(3,9),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,5),(3,9),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,5),(2,6),(3,9),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,4),(2,6),(3,9),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,3),(2,6),(4,9),(5,7),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,2),(3,6),(4,9),(5,7),(8,10)]=>[1,0,1,1,1,0,0,1,0,0] [(1,2),(3,5),(4,9),(6,7),(8,10)]=>[1,0,1,1,0,1,0,1,0,0] [(1,3),(2,5),(4,9),(6,7),(8,10)]=>[1,1,0,1,0,1,0,1,0,0] [(1,4),(2,5),(3,9),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,5),(2,4),(3,9),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,6),(2,4),(3,9),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,7),(2,4),(3,9),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,8),(2,4),(3,9),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,9),(2,4),(3,8),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,10),(2,4),(3,8),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,10),(2,3),(4,8),(5,6),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,9),(2,3),(4,8),(5,6),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,8),(2,3),(4,9),(5,6),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,7),(2,3),(4,9),(5,6),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,6),(2,3),(4,9),(5,7),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,5),(2,3),(4,9),(6,7),(8,10)]=>[1,1,0,1,0,1,0,1,0,0] [(1,4),(2,3),(5,9),(6,7),(8,10)]=>[1,1,0,0,1,1,0,1,0,0] [(1,3),(2,4),(5,9),(6,7),(8,10)]=>[1,1,0,0,1,1,0,1,0,0] [(1,2),(3,4),(5,9),(6,7),(8,10)]=>[1,0,1,0,1,1,0,1,0,0] [(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0] [(1,3),(2,4),(5,10),(6,7),(8,9)]=>[1,1,0,0,1,1,0,1,0,0] [(1,4),(2,3),(5,10),(6,7),(8,9)]=>[1,1,0,0,1,1,0,1,0,0] [(1,5),(2,3),(4,10),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0] [(1,6),(2,3),(4,10),(5,7),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,7),(2,3),(4,10),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,8),(2,3),(4,10),(5,6),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,9),(2,3),(4,10),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,10),(2,4),(3,9),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,9),(2,4),(3,10),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,8),(2,4),(3,10),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,7),(2,4),(3,10),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,6),(2,4),(3,10),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,5),(2,4),(3,10),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,4),(2,5),(3,10),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,3),(2,5),(4,10),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0] [(1,2),(3,5),(4,10),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0] [(1,2),(3,6),(4,10),(5,7),(8,9)]=>[1,0,1,1,1,0,0,1,0,0] [(1,3),(2,6),(4,10),(5,7),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,4),(2,6),(3,10),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,5),(2,6),(3,10),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,5),(3,10),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,7),(2,5),(3,10),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,8),(2,5),(3,10),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,5),(3,10),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,5),(3,9),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,6),(3,9),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,6),(3,10),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,8),(2,6),(3,10),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,6),(3,10),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,7),(3,10),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,5),(2,7),(3,10),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,4),(2,7),(3,10),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,3),(2,7),(4,10),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,2),(3,7),(4,10),(5,6),(8,9)]=>[1,0,1,1,1,0,0,1,0,0] [(1,2),(3,8),(4,10),(5,6),(7,9)]=>[1,0,1,1,1,0,1,0,0,0] [(1,3),(2,8),(4,10),(5,6),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,4),(2,8),(3,10),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,8),(3,10),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,6),(2,8),(3,10),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,8),(3,10),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,7),(3,10),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,7),(3,10),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,7),(3,9),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,8),(3,9),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,8),(3,10),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,9),(3,10),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,7),(2,9),(3,10),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,9),(3,10),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,5),(2,9),(3,10),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,4),(2,9),(3,10),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,3),(2,9),(4,10),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,2),(3,9),(4,10),(5,6),(7,8)]=>[1,0,1,1,1,0,1,0,0,0] [(1,2),(3,10),(4,9),(5,6),(7,8)]=>[1,0,1,1,1,0,1,0,0,0] [(1,3),(2,10),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,4),(2,10),(3,9),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,10),(3,9),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,6),(2,10),(3,9),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,10),(3,9),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,10),(3,9),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,10),(3,8),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,9),(3,8),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,9),(3,8),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,10),(3,8),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,10),(3,9),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,10),(3,9),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,10),(3,9),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,10),(3,9),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,10),(3,9),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,10),(4,9),(5,7),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,10),(4,9),(5,7),(6,8)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,9),(4,10),(5,7),(6,8)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,9),(4,10),(5,7),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,9),(3,10),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,9),(3,10),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,9),(3,10),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,9),(3,10),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,9),(3,10),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,8),(3,10),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,8),(3,9),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,7),(3,9),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,7),(3,10),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,7),(3,10),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,8),(3,10),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,8),(3,10),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,8),(3,10),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,8),(3,10),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,8),(4,10),(5,7),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,8),(4,10),(5,7),(6,9)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,7),(4,10),(5,8),(6,9)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,7),(4,10),(5,8),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,7),(3,10),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,7),(3,10),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,7),(3,10),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,6),(3,10),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,6),(3,10),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,6),(3,10),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,6),(3,9),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,5),(3,9),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,5),(3,10),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,5),(3,10),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,7),(2,5),(3,10),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,5),(3,10),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,5),(2,6),(3,10),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,4),(2,6),(3,10),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,3),(2,6),(4,10),(5,8),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,2),(3,6),(4,10),(5,8),(7,9)]=>[1,0,1,1,1,0,1,0,0,0] [(1,2),(3,5),(4,10),(6,8),(7,9)]=>[1,0,1,1,0,1,1,0,0,0] [(1,3),(2,5),(4,10),(6,8),(7,9)]=>[1,1,0,1,0,1,1,0,0,0] [(1,4),(2,5),(3,10),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,5),(2,4),(3,10),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,6),(2,4),(3,10),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,7),(2,4),(3,10),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,4),(3,10),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,4),(3,10),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,4),(3,9),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,3),(4,9),(5,7),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,9),(2,3),(4,10),(5,7),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,8),(2,3),(4,10),(5,7),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,7),(2,3),(4,10),(5,8),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,6),(2,3),(4,10),(5,8),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,5),(2,3),(4,10),(6,8),(7,9)]=>[1,1,0,1,0,1,1,0,0,0] [(1,4),(2,3),(5,10),(6,8),(7,9)]=>[1,1,0,0,1,1,1,0,0,0] [(1,3),(2,4),(5,10),(6,8),(7,9)]=>[1,1,0,0,1,1,1,0,0,0] [(1,2),(3,4),(5,10),(6,8),(7,9)]=>[1,0,1,0,1,1,1,0,0,0] [(1,2),(3,4),(5,9),(6,8),(7,10)]=>[1,0,1,0,1,1,1,0,0,0] [(1,3),(2,4),(5,9),(6,8),(7,10)]=>[1,1,0,0,1,1,1,0,0,0] [(1,4),(2,3),(5,9),(6,8),(7,10)]=>[1,1,0,0,1,1,1,0,0,0] [(1,5),(2,3),(4,9),(6,8),(7,10)]=>[1,1,0,1,0,1,1,0,0,0] [(1,6),(2,3),(4,9),(5,8),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,7),(2,3),(4,9),(5,8),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,8),(2,3),(4,9),(5,7),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,9),(2,3),(4,8),(5,7),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,10),(2,3),(4,8),(5,7),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,10),(2,4),(3,8),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,4),(3,8),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,4),(3,9),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,7),(2,4),(3,9),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,6),(2,4),(3,9),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,4),(3,9),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,4),(2,5),(3,9),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,3),(2,5),(4,9),(6,8),(7,10)]=>[1,1,0,1,0,1,1,0,0,0] [(1,2),(3,5),(4,9),(6,8),(7,10)]=>[1,0,1,1,0,1,1,0,0,0] [(1,2),(3,6),(4,9),(5,8),(7,10)]=>[1,0,1,1,1,0,1,0,0,0] [(1,3),(2,6),(4,9),(5,8),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,4),(2,6),(3,9),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,6),(3,9),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,6),(2,5),(3,9),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,5),(3,9),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,5),(3,9),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,5),(3,8),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,5),(3,8),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,6),(3,8),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,6),(3,8),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,6),(3,9),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,6),(3,9),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,7),(3,9),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,7),(3,9),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,7),(3,9),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,7),(4,9),(5,8),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,7),(4,9),(5,8),(6,10)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,8),(4,9),(5,7),(6,10)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,8),(4,9),(5,7),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,8),(3,9),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,8),(3,9),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,8),(3,9),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,8),(3,9),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,7),(3,9),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,7),(3,8),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,7),(3,8),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,8),(3,7),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,8),(3,7),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,9),(3,7),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,9),(3,8),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,9),(3,8),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,9),(3,8),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,9),(3,8),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,9),(4,8),(5,7),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,9),(4,8),(5,7),(6,10)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,10),(4,8),(5,7),(6,9)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,10),(4,8),(5,7),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,10),(3,8),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,10),(3,8),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,10),(3,8),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,10),(3,8),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,10),(3,7),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,10),(3,7),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,9),(3,7),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,9),(3,6),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,10),(3,6),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,10),(3,6),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,10),(3,6),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,10),(3,7),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,10),(3,7),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,10),(3,7),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,10),(4,7),(5,8),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,10),(4,7),(5,8),(6,9)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,9),(4,7),(5,8),(6,10)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,9),(4,7),(5,8),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,9),(3,7),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,9),(3,7),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,9),(3,7),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,9),(3,6),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,9),(3,6),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,8),(3,6),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,8),(3,6),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,7),(3,6),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,7),(3,6),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,7),(3,6),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,8),(3,6),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,8),(3,7),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,8),(3,7),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,8),(3,7),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,8),(4,7),(5,9),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,8),(4,7),(5,9),(6,10)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,7),(4,8),(5,9),(6,10)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,7),(4,8),(5,9),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,7),(3,8),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,7),(3,8),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,7),(3,8),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,6),(3,8),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,6),(3,7),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,6),(3,7),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,6),(3,7),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,5),(3,7),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,5),(3,7),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,5),(3,7),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,7),(2,5),(3,8),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,5),(3,8),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,5),(2,6),(3,8),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,4),(2,6),(3,8),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,3),(2,6),(4,8),(5,9),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,2),(3,6),(4,8),(5,9),(7,10)]=>[1,0,1,1,1,0,1,0,0,0] [(1,2),(3,5),(4,8),(6,9),(7,10)]=>[1,0,1,1,0,1,1,0,0,0] [(1,3),(2,5),(4,8),(6,9),(7,10)]=>[1,1,0,1,0,1,1,0,0,0] [(1,4),(2,5),(3,8),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,5),(2,4),(3,8),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,6),(2,4),(3,8),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,7),(2,4),(3,8),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,4),(3,7),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,4),(3,7),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,4),(3,7),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,3),(4,7),(5,8),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,9),(2,3),(4,7),(5,8),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,8),(2,3),(4,7),(5,9),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,7),(2,3),(4,8),(5,9),(6,10)]=>[1,1,0,1,1,1,0,0,0,0] [(1,6),(2,3),(4,8),(5,9),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,5),(2,3),(4,8),(6,9),(7,10)]=>[1,1,0,1,0,1,1,0,0,0] [(1,4),(2,3),(5,8),(6,9),(7,10)]=>[1,1,0,0,1,1,1,0,0,0] [(1,3),(2,4),(5,8),(6,9),(7,10)]=>[1,1,0,0,1,1,1,0,0,0] [(1,2),(3,4),(5,8),(6,9),(7,10)]=>[1,0,1,0,1,1,1,0,0,0] [(1,2),(3,4),(5,7),(6,9),(8,10)]=>[1,0,1,0,1,1,0,1,0,0] [(1,3),(2,4),(5,7),(6,9),(8,10)]=>[1,1,0,0,1,1,0,1,0,0] [(1,4),(2,3),(5,7),(6,9),(8,10)]=>[1,1,0,0,1,1,0,1,0,0] [(1,5),(2,3),(4,7),(6,9),(8,10)]=>[1,1,0,1,0,1,0,1,0,0] [(1,6),(2,3),(4,7),(5,9),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,7),(2,3),(4,6),(5,9),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,8),(2,3),(4,6),(5,9),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,9),(2,3),(4,6),(5,8),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,10),(2,3),(4,6),(5,8),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,10),(2,4),(3,6),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,9),(2,4),(3,6),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,8),(2,4),(3,6),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,7),(2,4),(3,6),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,6),(2,4),(3,7),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,5),(2,4),(3,7),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,4),(2,5),(3,7),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,3),(2,5),(4,7),(6,9),(8,10)]=>[1,1,0,1,0,1,0,1,0,0] [(1,2),(3,5),(4,7),(6,9),(8,10)]=>[1,0,1,1,0,1,0,1,0,0] [(1,2),(3,6),(4,7),(5,9),(8,10)]=>[1,0,1,1,1,0,0,1,0,0] [(1,3),(2,6),(4,7),(5,9),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,4),(2,6),(3,7),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,5),(2,6),(3,7),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,5),(3,7),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,7),(2,5),(3,6),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,8),(2,5),(3,6),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,5),(3,6),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,5),(3,6),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,6),(3,5),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,6),(3,5),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,8),(2,6),(3,5),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,6),(3,5),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,7),(3,5),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,5),(2,7),(3,6),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0] [(1,4),(2,7),(3,6),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,3),(2,7),(4,6),(5,9),(8,10)]=>[1,1,0,1,1,0,0,1,0,0] [(1,2),(3,7),(4,6),(5,9),(8,10)]=>[1,0,1,1,1,0,0,1,0,0] [(1,2),(3,8),(4,6),(5,9),(7,10)]=>[1,0,1,1,1,0,1,0,0,0] [(1,3),(2,8),(4,6),(5,9),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,4),(2,8),(3,6),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,8),(3,6),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,6),(2,8),(3,5),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,8),(3,5),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,7),(3,5),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,7),(3,5),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,7),(3,5),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,8),(3,5),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,8),(3,5),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,9),(3,5),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,7),(2,9),(3,5),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,9),(3,5),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,5),(2,9),(3,6),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0] [(1,4),(2,9),(3,6),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,3),(2,9),(4,6),(5,8),(7,10)]=>[1,1,0,1,1,0,1,0,0,0] [(1,2),(3,9),(4,6),(5,8),(7,10)]=>[1,0,1,1,1,0,1,0,0,0] [(1,2),(3,10),(4,6),(5,8),(7,9)]=>[1,0,1,1,1,0,1,0,0,0] [(1,3),(2,10),(4,6),(5,8),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,4),(2,10),(3,6),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,10),(3,6),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,6),(2,10),(3,5),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,10),(3,5),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,10),(3,5),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,10),(3,5),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,9),(3,5),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,9),(3,4),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,10),(3,4),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,10),(3,4),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,7),(2,10),(3,4),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,6),(2,10),(3,4),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,10),(3,4),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,4),(2,10),(3,5),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,3),(2,10),(4,5),(6,8),(7,9)]=>[1,1,0,1,0,1,1,0,0,0] [(1,2),(3,10),(4,5),(6,8),(7,9)]=>[1,0,1,1,0,1,1,0,0,0] [(1,2),(3,9),(4,5),(6,8),(7,10)]=>[1,0,1,1,0,1,1,0,0,0] [(1,3),(2,9),(4,5),(6,8),(7,10)]=>[1,1,0,1,0,1,1,0,0,0] [(1,4),(2,9),(3,5),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,5),(2,9),(3,4),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,6),(2,9),(3,4),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,7),(2,9),(3,4),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,9),(3,4),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,8),(3,4),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,8),(3,4),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,7),(3,4),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,7),(3,4),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,7),(3,4),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,7),(2,8),(3,4),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0] [(1,6),(2,8),(3,4),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,8),(3,4),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,4),(2,8),(3,5),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,3),(2,8),(4,5),(6,9),(7,10)]=>[1,1,0,1,0,1,1,0,0,0] [(1,2),(3,8),(4,5),(6,9),(7,10)]=>[1,0,1,1,0,1,1,0,0,0] [(1,2),(3,7),(4,5),(6,9),(8,10)]=>[1,0,1,1,0,1,0,1,0,0] [(1,3),(2,7),(4,5),(6,9),(8,10)]=>[1,1,0,1,0,1,0,1,0,0] [(1,4),(2,7),(3,5),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,5),(2,7),(3,4),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,6),(2,7),(3,4),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,7),(2,6),(3,4),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0] [(1,8),(2,6),(3,4),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,9),(2,6),(3,4),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0] [(1,10),(2,6),(3,4),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,10),(2,5),(3,4),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,9),(2,5),(3,4),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,8),(2,5),(3,4),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,7),(2,5),(3,4),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,6),(2,5),(3,4),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0] [(1,5),(2,6),(3,4),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0] [(1,4),(2,6),(3,5),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0] [(1,3),(2,6),(4,5),(7,9),(8,10)]=>[1,1,0,1,0,0,1,1,0,0] [(1,2),(3,6),(4,5),(7,9),(8,10)]=>[1,0,1,1,0,0,1,1,0,0] [(1,2),(3,5),(4,6),(7,9),(8,10)]=>[1,0,1,1,0,0,1,1,0,0] [(1,3),(2,5),(4,6),(7,9),(8,10)]=>[1,1,0,1,0,0,1,1,0,0] [(1,4),(2,5),(3,6),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0] [(1,5),(2,4),(3,6),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0] [(1,6),(2,4),(3,5),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0] [(1,7),(2,4),(3,5),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0] [(1,8),(2,4),(3,5),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,9),(2,4),(3,5),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0] [(1,10),(2,4),(3,5),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,10),(2,3),(4,5),(6,8),(7,9)]=>[1,1,0,1,0,1,1,0,0,0] [(1,9),(2,3),(4,5),(6,8),(7,10)]=>[1,1,0,1,0,1,1,0,0,0] [(1,8),(2,3),(4,5),(6,9),(7,10)]=>[1,1,0,1,0,1,1,0,0,0] [(1,7),(2,3),(4,5),(6,9),(8,10)]=>[1,1,0,1,0,1,0,1,0,0] [(1,6),(2,3),(4,5),(7,9),(8,10)]=>[1,1,0,1,0,0,1,1,0,0] [(1,5),(2,3),(4,6),(7,9),(8,10)]=>[1,1,0,1,0,0,1,1,0,0] [(1,4),(2,3),(5,6),(7,9),(8,10)]=>[1,1,0,0,1,0,1,1,0,0] [(1,3),(2,4),(5,6),(7,9),(8,10)]=>[1,1,0,0,1,0,1,1,0,0] [(1,2),(3,4),(5,6),(7,9),(8,10)]=>[1,0,1,0,1,0,1,1,0,0] [(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0] [(1,3),(2,4),(5,6),(7,10),(8,9)]=>[1,1,0,0,1,0,1,1,0,0] [(1,4),(2,3),(5,6),(7,10),(8,9)]=>[1,1,0,0,1,0,1,1,0,0] [(1,5),(2,3),(4,6),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0] [(1,6),(2,3),(4,5),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0] [(1,7),(2,3),(4,5),(6,10),(8,9)]=>[1,1,0,1,0,1,0,1,0,0] [(1,8),(2,3),(4,5),(6,10),(7,9)]=>[1,1,0,1,0,1,1,0,0,0] [(1,9),(2,3),(4,5),(6,10),(7,8)]=>[1,1,0,1,0,1,1,0,0,0] [(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0] [(1,10),(2,4),(3,5),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,9),(2,4),(3,5),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,8),(2,4),(3,5),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,7),(2,4),(3,5),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,6),(2,4),(3,5),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0] [(1,5),(2,4),(3,6),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0] [(1,4),(2,5),(3,6),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0] [(1,3),(2,5),(4,6),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0] [(1,2),(3,5),(4,6),(7,10),(8,9)]=>[1,0,1,1,0,0,1,1,0,0] [(1,2),(3,6),(4,5),(7,10),(8,9)]=>[1,0,1,1,0,0,1,1,0,0] [(1,3),(2,6),(4,5),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0] [(1,4),(2,6),(3,5),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0] [(1,5),(2,6),(3,4),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0] [(1,6),(2,5),(3,4),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0] [(1,7),(2,5),(3,4),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,8),(2,5),(3,4),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,9),(2,5),(3,4),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,10),(2,5),(3,4),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,10),(2,6),(3,4),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,9),(2,6),(3,4),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,8),(2,6),(3,4),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,7),(2,6),(3,4),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,6),(2,7),(3,4),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,5),(2,7),(3,4),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,4),(2,7),(3,5),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,3),(2,7),(4,5),(6,10),(8,9)]=>[1,1,0,1,0,1,0,1,0,0] [(1,2),(3,7),(4,5),(6,10),(8,9)]=>[1,0,1,1,0,1,0,1,0,0] [(1,2),(3,8),(4,5),(6,10),(7,9)]=>[1,0,1,1,0,1,1,0,0,0] [(1,3),(2,8),(4,5),(6,10),(7,9)]=>[1,1,0,1,0,1,1,0,0,0] [(1,4),(2,8),(3,5),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,5),(2,8),(3,4),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,6),(2,8),(3,4),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,7),(2,8),(3,4),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,7),(3,4),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,7),(3,4),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,7),(3,4),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,8),(3,4),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,8),(3,4),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,9),(3,4),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,7),(2,9),(3,4),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,6),(2,9),(3,4),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,9),(3,4),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,4),(2,9),(3,5),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,3),(2,9),(4,5),(6,10),(7,8)]=>[1,1,0,1,0,1,1,0,0,0] [(1,2),(3,9),(4,5),(6,10),(7,8)]=>[1,0,1,1,0,1,1,0,0,0] [(1,2),(3,10),(4,5),(6,9),(7,8)]=>[1,0,1,1,0,1,1,0,0,0] [(1,3),(2,10),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0] [(1,4),(2,10),(3,5),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,5),(2,10),(3,4),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,6),(2,10),(3,4),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,7),(2,10),(3,4),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,10),(3,4),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,10),(3,4),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,9),(3,4),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,9),(3,5),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,10),(3,5),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,10),(3,5),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,7),(2,10),(3,5),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,10),(3,5),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,5),(2,10),(3,6),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,4),(2,10),(3,6),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,3),(2,10),(4,6),(5,9),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,2),(3,10),(4,6),(5,9),(7,8)]=>[1,0,1,1,1,0,1,0,0,0] [(1,2),(3,9),(4,6),(5,10),(7,8)]=>[1,0,1,1,1,0,1,0,0,0] [(1,3),(2,9),(4,6),(5,10),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,4),(2,9),(3,6),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,9),(3,6),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,6),(2,9),(3,5),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,9),(3,5),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,9),(3,5),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,8),(3,5),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,8),(3,5),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,7),(3,5),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,7),(3,5),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,7),(3,5),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,7),(2,8),(3,5),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,8),(3,5),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,5),(2,8),(3,6),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,4),(2,8),(3,6),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,3),(2,8),(4,6),(5,10),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,2),(3,8),(4,6),(5,10),(7,9)]=>[1,0,1,1,1,0,1,0,0,0] [(1,2),(3,7),(4,6),(5,10),(8,9)]=>[1,0,1,1,1,0,0,1,0,0] [(1,3),(2,7),(4,6),(5,10),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,4),(2,7),(3,6),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,5),(2,7),(3,6),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,7),(3,5),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,7),(2,6),(3,5),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,8),(2,6),(3,5),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,6),(3,5),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,6),(3,5),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,10),(2,5),(3,6),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,9),(2,5),(3,6),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,8),(2,5),(3,6),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,5),(3,6),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,6),(2,5),(3,7),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,5),(2,6),(3,7),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0] [(1,4),(2,6),(3,7),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,3),(2,6),(4,7),(5,10),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,2),(3,6),(4,7),(5,10),(8,9)]=>[1,0,1,1,1,0,0,1,0,0] [(1,2),(3,5),(4,7),(6,10),(8,9)]=>[1,0,1,1,0,1,0,1,0,0] [(1,3),(2,5),(4,7),(6,10),(8,9)]=>[1,1,0,1,0,1,0,1,0,0] [(1,4),(2,5),(3,7),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,5),(2,4),(3,7),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0] [(1,6),(2,4),(3,7),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,7),(2,4),(3,6),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0] [(1,8),(2,4),(3,6),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,9),(2,4),(3,6),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,10),(2,4),(3,6),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,10),(2,3),(4,6),(5,9),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,9),(2,3),(4,6),(5,10),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,8),(2,3),(4,6),(5,10),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,7),(2,3),(4,6),(5,10),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,6),(2,3),(4,7),(5,10),(8,9)]=>[1,1,0,1,1,0,0,1,0,0] [(1,5),(2,3),(4,7),(6,10),(8,9)]=>[1,1,0,1,0,1,0,1,0,0] [(1,4),(2,3),(5,7),(6,10),(8,9)]=>[1,1,0,0,1,1,0,1,0,0] [(1,3),(2,4),(5,7),(6,10),(8,9)]=>[1,1,0,0,1,1,0,1,0,0] [(1,2),(3,4),(5,7),(6,10),(8,9)]=>[1,0,1,0,1,1,0,1,0,0] [(1,2),(3,4),(5,8),(6,10),(7,9)]=>[1,0,1,0,1,1,1,0,0,0] [(1,3),(2,4),(5,8),(6,10),(7,9)]=>[1,1,0,0,1,1,1,0,0,0] [(1,4),(2,3),(5,8),(6,10),(7,9)]=>[1,1,0,0,1,1,1,0,0,0] [(1,5),(2,3),(4,8),(6,10),(7,9)]=>[1,1,0,1,0,1,1,0,0,0] [(1,6),(2,3),(4,8),(5,10),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,7),(2,3),(4,8),(5,10),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,8),(2,3),(4,7),(5,10),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,9),(2,3),(4,7),(5,10),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,10),(2,3),(4,7),(5,9),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,10),(2,4),(3,7),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,4),(3,7),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,4),(3,7),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,7),(2,4),(3,8),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,6),(2,4),(3,8),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,4),(3,8),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,4),(2,5),(3,8),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0] [(1,3),(2,5),(4,8),(6,10),(7,9)]=>[1,1,0,1,0,1,1,0,0,0] [(1,2),(3,5),(4,8),(6,10),(7,9)]=>[1,0,1,1,0,1,1,0,0,0] [(1,2),(3,6),(4,8),(5,10),(7,9)]=>[1,0,1,1,1,0,1,0,0,0] [(1,3),(2,6),(4,8),(5,10),(7,9)]=>[1,1,0,1,1,0,1,0,0,0] [(1,4),(2,6),(3,8),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,6),(3,8),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,6),(2,5),(3,8),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,5),(3,8),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,5),(3,7),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,5),(3,7),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,5),(3,7),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,6),(3,7),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,6),(3,7),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,6),(3,7),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,6),(3,8),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,7),(3,8),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,7),(3,8),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,7),(3,8),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,7),(4,8),(5,10),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,7),(4,8),(5,10),(6,9)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,8),(4,7),(5,10),(6,9)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,8),(4,7),(5,10),(6,9)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,8),(3,7),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,8),(3,7),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,8),(3,7),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,8),(3,6),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,7),(3,6),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,7),(3,6),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,7),(3,6),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,8),(3,6),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,8),(3,6),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,9),(3,6),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,9),(3,6),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,9),(3,7),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,9),(3,7),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,9),(3,7),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,9),(4,7),(5,10),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,9),(4,7),(5,10),(6,8)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,10),(4,7),(5,9),(6,8)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,10),(4,7),(5,9),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,10),(3,7),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,10),(3,7),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,10),(3,7),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,10),(3,6),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,10),(3,6),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,10),(3,6),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,9),(3,6),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,9),(3,7),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,10),(3,7),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,10),(3,7),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,10),(3,8),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,10),(3,8),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,10),(3,8),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,10),(3,8),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,10),(4,8),(5,9),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,10),(4,8),(5,9),(6,7)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,9),(4,8),(5,10),(6,7)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,9),(4,8),(5,10),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,9),(3,8),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,9),(3,8),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,9),(3,8),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,9),(3,8),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,9),(3,7),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,8),(3,7),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,8),(3,7),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,7),(3,8),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,7),(3,8),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,7),(3,9),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,8),(3,9),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,8),(3,9),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,8),(3,9),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,8),(3,9),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,8),(4,9),(5,10),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,8),(4,9),(5,10),(6,7)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,7),(4,9),(5,10),(6,8)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,7),(4,9),(5,10),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,7),(3,9),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,7),(3,9),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,7),(3,9),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,6),(3,9),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,6),(3,9),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,6),(3,8),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,6),(3,8),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,5),(3,8),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,5),(3,8),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,5),(3,9),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,7),(2,5),(3,9),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,5),(3,9),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,5),(2,6),(3,9),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,4),(2,6),(3,9),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,3),(2,6),(4,9),(5,10),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,2),(3,6),(4,9),(5,10),(7,8)]=>[1,0,1,1,1,0,1,0,0,0] [(1,2),(3,5),(4,9),(6,10),(7,8)]=>[1,0,1,1,0,1,1,0,0,0] [(1,3),(2,5),(4,9),(6,10),(7,8)]=>[1,1,0,1,0,1,1,0,0,0] [(1,4),(2,5),(3,9),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,5),(2,4),(3,9),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,6),(2,4),(3,9),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,7),(2,4),(3,9),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,4),(3,9),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,4),(3,8),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,4),(3,8),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,10),(2,3),(4,8),(5,9),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,9),(2,3),(4,8),(5,10),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,8),(2,3),(4,9),(5,10),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,7),(2,3),(4,9),(5,10),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,6),(2,3),(4,9),(5,10),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,5),(2,3),(4,9),(6,10),(7,8)]=>[1,1,0,1,0,1,1,0,0,0] [(1,4),(2,3),(5,9),(6,10),(7,8)]=>[1,1,0,0,1,1,1,0,0,0] [(1,3),(2,4),(5,9),(6,10),(7,8)]=>[1,1,0,0,1,1,1,0,0,0] [(1,2),(3,4),(5,9),(6,10),(7,8)]=>[1,0,1,0,1,1,1,0,0,0] [(1,2),(3,4),(5,10),(6,9),(7,8)]=>[1,0,1,0,1,1,1,0,0,0] [(1,3),(2,4),(5,10),(6,9),(7,8)]=>[1,1,0,0,1,1,1,0,0,0] [(1,4),(2,3),(5,10),(6,9),(7,8)]=>[1,1,0,0,1,1,1,0,0,0] [(1,5),(2,3),(4,10),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0] [(1,6),(2,3),(4,10),(5,9),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,7),(2,3),(4,10),(5,9),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,8),(2,3),(4,10),(5,9),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,9),(2,3),(4,10),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,10),(2,3),(4,9),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,10),(2,4),(3,9),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,9),(2,4),(3,10),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,8),(2,4),(3,10),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,7),(2,4),(3,10),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,6),(2,4),(3,10),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,4),(3,10),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,4),(2,5),(3,10),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0] [(1,3),(2,5),(4,10),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0] [(1,2),(3,5),(4,10),(6,9),(7,8)]=>[1,0,1,1,0,1,1,0,0,0] [(1,2),(3,6),(4,10),(5,9),(7,8)]=>[1,0,1,1,1,0,1,0,0,0] [(1,3),(2,6),(4,10),(5,9),(7,8)]=>[1,1,0,1,1,0,1,0,0,0] [(1,4),(2,6),(3,10),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0] [(1,5),(2,6),(3,10),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,6),(2,5),(3,10),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0] [(1,7),(2,5),(3,10),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,8),(2,5),(3,10),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,9),(2,5),(3,10),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,5),(3,9),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,10),(2,6),(3,9),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,6),(3,10),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,6),(3,10),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,6),(3,10),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,7),(3,10),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,7),(3,10),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,7),(3,10),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,7),(4,10),(5,9),(6,8)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,7),(4,10),(5,9),(6,8)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,8),(4,10),(5,9),(6,7)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,8),(4,10),(5,9),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,8),(3,10),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,8),(3,10),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,8),(3,10),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,8),(3,10),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,7),(3,10),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,7),(3,10),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,7),(3,9),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,8),(3,9),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,8),(3,10),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,9),(3,10),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,9),(3,10),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,6),(2,9),(3,10),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,5),(2,9),(3,10),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,4),(2,9),(3,10),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,3),(2,9),(4,10),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,2),(3,9),(4,10),(5,8),(6,7)]=>[1,0,1,1,1,1,0,0,0,0] [(1,2),(3,10),(4,9),(5,8),(6,7)]=>[1,0,1,1,1,1,0,0,0,0] [(1,3),(2,10),(4,9),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0] [(1,4),(2,10),(3,9),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0] [(1,5),(2,10),(3,9),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0] [(1,6),(2,10),(3,9),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0] [(1,7),(2,10),(3,9),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,8),(2,10),(3,9),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,9),(2,10),(3,8),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,10),(2,9),(3,8),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0] [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>[1,1,1,1,1,1,0,0,0,0,0,0] [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>[1,0,1,1,1,1,0,0,0,0,1,0] [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0] [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0] [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0] [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0] [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0] [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0] [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[1,0,1,1,1,1,0,0,1,0,0,0] [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0] [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0] [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0] [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0] [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0] [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0] [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0] [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0] [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0] [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0] [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0] [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0] [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0] [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>[1,0,1,1,1,1,0,1,0,0,0,0] [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0] [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0] [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0] [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0] [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0] [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0] [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0] [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0] [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0] [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0] [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0] [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0] [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>[1,1,1,1,0,1,0,0,0,0,1,0] [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0] [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0] [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0] [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0] [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>[1,1,0,0,1,1,0,1,1,0,0,0] [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>[1,1,1,0,0,1,0,0,1,1,0,0] [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>[1,1,1,1,1,0,1,0,0,0,0,0] [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0] [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0] [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0] [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0] [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0] [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0] [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0] [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0] [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0] [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0] [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0] [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0] [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0] [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0] [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0] [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0] [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0] [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0] [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0] [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0] [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>[1,1,0,1,1,1,1,0,0,0,0,0] [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>[1,0,1,1,1,1,1,0,0,0,0,0] [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0] [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0] [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0] [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0] [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0] [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0] [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0] [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0] [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0] [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0] [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0] [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0] [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0] [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0] [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0] [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0] [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0] [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>[1,1,0,0,1,1,1,0,1,0,0,0] [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[1,1,1,0,0,0,1,0,1,1,0,0] [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0] [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0] [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0] [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0] [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0] [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0] [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0] [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0] [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0] [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0] [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0] [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0] [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0] [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0] [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[1,1,1,1,1,0,0,0,1,0,0,0] [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0] [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0] [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[1,0,1,1,1,0,0,1,1,0,0,0] [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0] [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0] [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[1,0,1,1,1,0,0,0,1,1,0,0] [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>[1,1,1,1,1,0,0,0,0,0,1,0] [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>[1,1,0,1,1,0,0,0,1,1,0,0] [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[1,1,1,0,1,0,0,1,1,0,0,0] [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>[1,0,1,0,1,0,1,1,1,0,0,0] [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>[1,1,1,0,1,0,0,0,1,0,1,0] [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>[1,1,0,0,1,0,1,1,1,0,0,0] [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]=>[1,1,1,0,1,0,0,0,1,1,0,0] [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0] [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0] [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0] [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0] [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0] [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0] [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0] [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[1,1,1,1,0,0,0,1,0,0,1,0] [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>[1,1,0,1,0,0,1,1,0,1,0,0] [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0] [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>[1,0,1,0,1,1,1,1,0,0,0,0] [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[1,1,1,0,0,0,1,1,0,0,1,0] [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>[1,1,0,0,1,1,1,1,0,0,0,0] [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)]=>[1,1,1,0,0,0,1,1,0,1,0,0] [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)]=>[1,1,1,1,0,0,0,1,1,0,0,0] [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]=>[1,0,1,1,0,0,1,1,1,0,0,0] [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)]=>[1,1,1,1,0,0,0,0,1,0,1,0] [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)]=>[1,1,0,1,0,0,1,1,1,0,0,0] [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)]=>[1,1,1,1,0,0,0,0,1,1,0,0] [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)]=>[1,1,1,0,0,0,1,1,1,0,0,0] [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)]=>[1,1,1,1,1,1,0,0,0,0,0,0] [(1,11),(2,3),(4,5),(6,7),(8,9),(10,12)]=>[1,1,0,1,0,1,0,1,0,1,0,0] [(1,12),(2,3),(4,5),(6,7),(8,10),(9,11)]=>[1,1,0,1,0,1,0,1,1,0,0,0] [(1,11),(2,3),(4,5),(6,7),(8,10),(9,12)]=>[1,1,0,1,0,1,0,1,1,0,0,0] [(1,10),(2,3),(4,5),(6,7),(8,11),(9,12)]=>[1,1,0,1,0,1,0,1,1,0,0,0] [(1,12),(2,3),(4,5),(6,8),(7,9),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0] [(1,11),(2,3),(4,5),(6,8),(7,9),(10,12)]=>[1,1,0,1,0,1,1,0,0,1,0,0] [(1,12),(2,3),(4,5),(6,8),(7,10),(9,11)]=>[1,1,0,1,0,1,1,0,1,0,0,0] [(1,11),(2,3),(4,5),(6,8),(7,10),(9,12)]=>[1,1,0,1,0,1,1,0,1,0,0,0] [(1,10),(2,3),(4,5),(6,8),(7,11),(9,12)]=>[1,1,0,1,0,1,1,0,1,0,0,0] [(1,12),(2,3),(4,5),(6,9),(7,10),(8,11)]=>[1,1,0,1,0,1,1,1,0,0,0,0] [(1,11),(2,3),(4,5),(6,9),(7,10),(8,12)]=>[1,1,0,1,0,1,1,1,0,0,0,0] [(1,10),(2,3),(4,5),(6,9),(7,11),(8,12)]=>[1,1,0,1,0,1,1,1,0,0,0,0] [(1,9),(2,3),(4,5),(6,10),(7,11),(8,12)]=>[1,1,0,1,0,1,1,1,0,0,0,0] [(1,12),(2,3),(4,6),(5,7),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0] [(1,11),(2,3),(4,6),(5,7),(8,9),(10,12)]=>[1,1,0,1,1,0,0,1,0,1,0,0] [(1,12),(2,3),(4,6),(5,7),(8,10),(9,11)]=>[1,1,0,1,1,0,0,1,1,0,0,0] [(1,11),(2,3),(4,6),(5,7),(8,10),(9,12)]=>[1,1,0,1,1,0,0,1,1,0,0,0] [(1,10),(2,3),(4,6),(5,7),(8,11),(9,12)]=>[1,1,0,1,1,0,0,1,1,0,0,0] [(1,12),(2,3),(4,6),(5,8),(7,9),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0] [(1,11),(2,3),(4,6),(5,8),(7,9),(10,12)]=>[1,1,0,1,1,0,1,0,0,1,0,0] [(1,12),(2,3),(4,6),(5,8),(7,10),(9,11)]=>[1,1,0,1,1,0,1,0,1,0,0,0] [(1,11),(2,3),(4,6),(5,8),(7,10),(9,12)]=>[1,1,0,1,1,0,1,0,1,0,0,0] [(1,10),(2,3),(4,6),(5,8),(7,11),(9,12)]=>[1,1,0,1,1,0,1,0,1,0,0,0] [(1,12),(2,3),(4,6),(5,9),(7,10),(8,11)]=>[1,1,0,1,1,0,1,1,0,0,0,0] [(1,11),(2,3),(4,6),(5,9),(7,10),(8,12)]=>[1,1,0,1,1,0,1,1,0,0,0,0] [(1,10),(2,3),(4,6),(5,9),(7,11),(8,12)]=>[1,1,0,1,1,0,1,1,0,0,0,0] [(1,9),(2,3),(4,6),(5,10),(7,11),(8,12)]=>[1,1,0,1,1,0,1,1,0,0,0,0] [(1,12),(2,3),(4,7),(5,8),(6,9),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0] [(1,11),(2,3),(4,7),(5,8),(6,9),(10,12)]=>[1,1,0,1,1,1,0,0,0,1,0,0] [(1,12),(2,3),(4,7),(5,8),(6,10),(9,11)]=>[1,1,0,1,1,1,0,0,1,0,0,0] [(1,11),(2,3),(4,7),(5,8),(6,10),(9,12)]=>[1,1,0,1,1,1,0,0,1,0,0,0] [(1,10),(2,3),(4,7),(5,8),(6,11),(9,12)]=>[1,1,0,1,1,1,0,0,1,0,0,0] [(1,12),(2,3),(4,7),(5,9),(6,10),(8,11)]=>[1,1,0,1,1,1,0,1,0,0,0,0] [(1,11),(2,3),(4,7),(5,9),(6,10),(8,12)]=>[1,1,0,1,1,1,0,1,0,0,0,0] [(1,10),(2,3),(4,7),(5,9),(6,11),(8,12)]=>[1,1,0,1,1,1,0,1,0,0,0,0] [(1,9),(2,3),(4,7),(5,10),(6,11),(8,12)]=>[1,1,0,1,1,1,0,1,0,0,0,0] [(1,12),(2,3),(4,8),(5,9),(6,10),(7,11)]=>[1,1,0,1,1,1,1,0,0,0,0,0] [(1,11),(2,3),(4,8),(5,9),(6,10),(7,12)]=>[1,1,0,1,1,1,1,0,0,0,0,0] [(1,10),(2,3),(4,8),(5,9),(6,11),(7,12)]=>[1,1,0,1,1,1,1,0,0,0,0,0] [(1,9),(2,3),(4,8),(5,10),(6,11),(7,12)]=>[1,1,0,1,1,1,1,0,0,0,0,0] [(1,8),(2,3),(4,9),(5,10),(6,11),(7,12)]=>[1,1,0,1,1,1,1,0,0,0,0,0] [(1,12),(2,4),(3,5),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0] [(1,11),(2,4),(3,5),(6,7),(8,9),(10,12)]=>[1,1,1,0,0,1,0,1,0,1,0,0] [(1,12),(2,4),(3,5),(6,7),(8,10),(9,11)]=>[1,1,1,0,0,1,0,1,1,0,0,0] [(1,11),(2,4),(3,5),(6,7),(8,10),(9,12)]=>[1,1,1,0,0,1,0,1,1,0,0,0] [(1,10),(2,4),(3,5),(6,7),(8,11),(9,12)]=>[1,1,1,0,0,1,0,1,1,0,0,0] [(1,12),(2,4),(3,5),(6,8),(7,9),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0] [(1,11),(2,4),(3,5),(6,8),(7,9),(10,12)]=>[1,1,1,0,0,1,1,0,0,1,0,0] [(1,12),(2,4),(3,5),(6,8),(7,10),(9,11)]=>[1,1,1,0,0,1,1,0,1,0,0,0] [(1,11),(2,4),(3,5),(6,8),(7,10),(9,12)]=>[1,1,1,0,0,1,1,0,1,0,0,0] [(1,10),(2,4),(3,5),(6,8),(7,11),(9,12)]=>[1,1,1,0,0,1,1,0,1,0,0,0] [(1,12),(2,4),(3,5),(6,9),(7,10),(8,11)]=>[1,1,1,0,0,1,1,1,0,0,0,0] [(1,11),(2,4),(3,5),(6,9),(7,10),(8,12)]=>[1,1,1,0,0,1,1,1,0,0,0,0] [(1,10),(2,4),(3,5),(6,9),(7,11),(8,12)]=>[1,1,1,0,0,1,1,1,0,0,0,0] [(1,9),(2,4),(3,5),(6,10),(7,11),(8,12)]=>[1,1,1,0,0,1,1,1,0,0,0,0] [(1,12),(2,4),(3,6),(5,7),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0] [(1,11),(2,4),(3,6),(5,7),(8,9),(10,12)]=>[1,1,1,0,1,0,0,1,0,1,0,0] [(1,12),(2,4),(3,6),(5,7),(8,10),(9,11)]=>[1,1,1,0,1,0,0,1,1,0,0,0] [(1,11),(2,4),(3,6),(5,7),(8,10),(9,12)]=>[1,1,1,0,1,0,0,1,1,0,0,0] [(1,10),(2,4),(3,6),(5,7),(8,11),(9,12)]=>[1,1,1,0,1,0,0,1,1,0,0,0] [(1,12),(2,4),(3,6),(5,8),(7,9),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0] [(1,11),(2,4),(3,6),(5,8),(7,9),(10,12)]=>[1,1,1,0,1,0,1,0,0,1,0,0] [(1,12),(2,4),(3,6),(5,8),(7,10),(9,11)]=>[1,1,1,0,1,0,1,0,1,0,0,0] [(1,11),(2,4),(3,6),(5,8),(7,10),(9,12)]=>[1,1,1,0,1,0,1,0,1,0,0,0] [(1,10),(2,4),(3,6),(5,8),(7,11),(9,12)]=>[1,1,1,0,1,0,1,0,1,0,0,0] [(1,12),(2,4),(3,6),(5,9),(7,10),(8,11)]=>[1,1,1,0,1,0,1,1,0,0,0,0] [(1,11),(2,4),(3,6),(5,9),(7,10),(8,12)]=>[1,1,1,0,1,0,1,1,0,0,0,0] [(1,10),(2,4),(3,6),(5,9),(7,11),(8,12)]=>[1,1,1,0,1,0,1,1,0,0,0,0] [(1,9),(2,4),(3,6),(5,10),(7,11),(8,12)]=>[1,1,1,0,1,0,1,1,0,0,0,0] [(1,12),(2,4),(3,7),(5,8),(6,9),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0] [(1,11),(2,4),(3,7),(5,8),(6,9),(10,12)]=>[1,1,1,0,1,1,0,0,0,1,0,0] [(1,12),(2,4),(3,7),(5,8),(6,10),(9,11)]=>[1,1,1,0,1,1,0,0,1,0,0,0] [(1,11),(2,4),(3,7),(5,8),(6,10),(9,12)]=>[1,1,1,0,1,1,0,0,1,0,0,0] [(1,10),(2,4),(3,7),(5,8),(6,11),(9,12)]=>[1,1,1,0,1,1,0,0,1,0,0,0] [(1,12),(2,4),(3,7),(5,9),(6,10),(8,11)]=>[1,1,1,0,1,1,0,1,0,0,0,0] [(1,11),(2,4),(3,7),(5,9),(6,10),(8,12)]=>[1,1,1,0,1,1,0,1,0,0,0,0] [(1,10),(2,4),(3,7),(5,9),(6,11),(8,12)]=>[1,1,1,0,1,1,0,1,0,0,0,0] [(1,9),(2,4),(3,7),(5,10),(6,11),(8,12)]=>[1,1,1,0,1,1,0,1,0,0,0,0] [(1,12),(2,4),(3,8),(5,9),(6,10),(7,11)]=>[1,1,1,0,1,1,1,0,0,0,0,0] [(1,11),(2,4),(3,8),(5,9),(6,10),(7,12)]=>[1,1,1,0,1,1,1,0,0,0,0,0] [(1,10),(2,4),(3,8),(5,9),(6,11),(7,12)]=>[1,1,1,0,1,1,1,0,0,0,0,0] [(1,9),(2,4),(3,8),(5,10),(6,11),(7,12)]=>[1,1,1,0,1,1,1,0,0,0,0,0] [(1,8),(2,4),(3,9),(5,10),(6,11),(7,12)]=>[1,1,1,0,1,1,1,0,0,0,0,0] [(1,12),(2,5),(3,6),(4,7),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0] [(1,11),(2,5),(3,6),(4,7),(8,9),(10,12)]=>[1,1,1,1,0,0,0,1,0,1,0,0] [(1,12),(2,5),(3,6),(4,7),(8,10),(9,11)]=>[1,1,1,1,0,0,0,1,1,0,0,0] [(1,11),(2,5),(3,6),(4,7),(8,10),(9,12)]=>[1,1,1,1,0,0,0,1,1,0,0,0] [(1,10),(2,5),(3,6),(4,7),(8,11),(9,12)]=>[1,1,1,1,0,0,0,1,1,0,0,0] [(1,12),(2,5),(3,6),(4,8),(7,9),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0] [(1,11),(2,5),(3,6),(4,8),(7,9),(10,12)]=>[1,1,1,1,0,0,1,0,0,1,0,0] [(1,12),(2,5),(3,6),(4,8),(7,10),(9,11)]=>[1,1,1,1,0,0,1,0,1,0,0,0] [(1,11),(2,5),(3,6),(4,8),(7,10),(9,12)]=>[1,1,1,1,0,0,1,0,1,0,0,0] [(1,10),(2,5),(3,6),(4,8),(7,11),(9,12)]=>[1,1,1,1,0,0,1,0,1,0,0,0] [(1,12),(2,5),(3,6),(4,9),(7,10),(8,11)]=>[1,1,1,1,0,0,1,1,0,0,0,0] [(1,11),(2,5),(3,6),(4,9),(7,10),(8,12)]=>[1,1,1,1,0,0,1,1,0,0,0,0] [(1,10),(2,5),(3,6),(4,9),(7,11),(8,12)]=>[1,1,1,1,0,0,1,1,0,0,0,0] [(1,9),(2,5),(3,6),(4,10),(7,11),(8,12)]=>[1,1,1,1,0,0,1,1,0,0,0,0] [(1,12),(2,5),(3,7),(4,8),(6,9),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0] [(1,11),(2,5),(3,7),(4,8),(6,9),(10,12)]=>[1,1,1,1,0,1,0,0,0,1,0,0] [(1,12),(2,5),(3,7),(4,8),(6,10),(9,11)]=>[1,1,1,1,0,1,0,0,1,0,0,0] [(1,11),(2,5),(3,7),(4,8),(6,10),(9,12)]=>[1,1,1,1,0,1,0,0,1,0,0,0] [(1,10),(2,5),(3,7),(4,8),(6,11),(9,12)]=>[1,1,1,1,0,1,0,0,1,0,0,0] [(1,12),(2,5),(3,7),(4,9),(6,10),(8,11)]=>[1,1,1,1,0,1,0,1,0,0,0,0] [(1,11),(2,5),(3,7),(4,9),(6,10),(8,12)]=>[1,1,1,1,0,1,0,1,0,0,0,0] [(1,10),(2,5),(3,7),(4,9),(6,11),(8,12)]=>[1,1,1,1,0,1,0,1,0,0,0,0] [(1,9),(2,5),(3,7),(4,10),(6,11),(8,12)]=>[1,1,1,1,0,1,0,1,0,0,0,0] [(1,12),(2,5),(3,8),(4,9),(6,10),(7,11)]=>[1,1,1,1,0,1,1,0,0,0,0,0] [(1,11),(2,5),(3,8),(4,9),(6,10),(7,12)]=>[1,1,1,1,0,1,1,0,0,0,0,0] [(1,10),(2,5),(3,8),(4,9),(6,11),(7,12)]=>[1,1,1,1,0,1,1,0,0,0,0,0] [(1,9),(2,5),(3,8),(4,10),(6,11),(7,12)]=>[1,1,1,1,0,1,1,0,0,0,0,0] [(1,8),(2,5),(3,9),(4,10),(6,11),(7,12)]=>[1,1,1,1,0,1,1,0,0,0,0,0] [(1,12),(2,6),(3,7),(4,8),(5,9),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0] [(1,11),(2,6),(3,7),(4,8),(5,9),(10,12)]=>[1,1,1,1,1,0,0,0,0,1,0,0] [(1,12),(2,6),(3,7),(4,8),(5,10),(9,11)]=>[1,1,1,1,1,0,0,0,1,0,0,0] [(1,11),(2,6),(3,7),(4,8),(5,10),(9,12)]=>[1,1,1,1,1,0,0,0,1,0,0,0] [(1,10),(2,6),(3,7),(4,8),(5,11),(9,12)]=>[1,1,1,1,1,0,0,0,1,0,0,0] [(1,12),(2,6),(3,7),(4,9),(5,10),(8,11)]=>[1,1,1,1,1,0,0,1,0,0,0,0] [(1,11),(2,6),(3,7),(4,9),(5,10),(8,12)]=>[1,1,1,1,1,0,0,1,0,0,0,0] [(1,10),(2,6),(3,7),(4,9),(5,11),(8,12)]=>[1,1,1,1,1,0,0,1,0,0,0,0] [(1,9),(2,6),(3,7),(4,10),(5,11),(8,12)]=>[1,1,1,1,1,0,0,1,0,0,0,0] [(1,12),(2,6),(3,8),(4,9),(5,10),(7,11)]=>[1,1,1,1,1,0,1,0,0,0,0,0] [(1,11),(2,6),(3,8),(4,9),(5,10),(7,12)]=>[1,1,1,1,1,0,1,0,0,0,0,0] [(1,10),(2,6),(3,8),(4,9),(5,11),(7,12)]=>[1,1,1,1,1,0,1,0,0,0,0,0] [(1,9),(2,6),(3,8),(4,10),(5,11),(7,12)]=>[1,1,1,1,1,0,1,0,0,0,0,0] [(1,8),(2,6),(3,9),(4,10),(5,11),(7,12)]=>[1,1,1,1,1,0,1,0,0,0,0,0] [(1,12),(2,7),(3,8),(4,9),(5,10),(6,11)]=>[1,1,1,1,1,1,0,0,0,0,0,0] [(1,11),(2,7),(3,8),(4,9),(5,10),(6,12)]=>[1,1,1,1,1,1,0,0,0,0,0,0] [(1,10),(2,7),(3,8),(4,9),(5,11),(6,12)]=>[1,1,1,1,1,1,0,0,0,0,0,0] [(1,9),(2,7),(3,8),(4,10),(5,11),(6,12)]=>[1,1,1,1,1,1,0,0,0,0,0,0] [(1,8),(2,7),(3,9),(4,10),(5,11),(6,12)]=>[1,1,1,1,1,1,0,0,0,0,0,0] [(1,3),(2,12),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0] [(1,3),(2,12),(4,5),(6,7),(8,10),(9,11)]=>[1,1,0,1,0,1,0,1,1,0,0,0] [(1,3),(2,12),(4,5),(6,8),(7,9),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0] [(1,3),(2,12),(4,5),(6,8),(7,10),(9,11)]=>[1,1,0,1,0,1,1,0,1,0,0,0] [(1,3),(2,12),(4,5),(6,9),(7,10),(8,11)]=>[1,1,0,1,0,1,1,1,0,0,0,0] [(1,3),(2,12),(4,6),(5,7),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0] [(1,3),(2,12),(4,6),(5,7),(8,10),(9,11)]=>[1,1,0,1,1,0,0,1,1,0,0,0] [(1,3),(2,12),(4,6),(5,8),(7,9),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0] [(1,3),(2,12),(4,6),(5,8),(7,10),(9,11)]=>[1,1,0,1,1,0,1,0,1,0,0,0] [(1,3),(2,12),(4,6),(5,9),(7,10),(8,11)]=>[1,1,0,1,1,0,1,1,0,0,0,0] [(1,3),(2,12),(4,7),(5,8),(6,9),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0] [(1,3),(2,12),(4,7),(5,8),(6,10),(9,11)]=>[1,1,0,1,1,1,0,0,1,0,0,0] [(1,3),(2,12),(4,7),(5,9),(6,10),(8,11)]=>[1,1,0,1,1,1,0,1,0,0,0,0] [(1,3),(2,12),(4,8),(5,9),(6,10),(7,11)]=>[1,1,0,1,1,1,1,0,0,0,0,0] [(1,4),(2,12),(3,5),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0] [(1,4),(2,12),(3,5),(6,7),(8,10),(9,11)]=>[1,1,1,0,0,1,0,1,1,0,0,0] [(1,4),(2,12),(3,5),(6,8),(7,9),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0] [(1,4),(2,12),(3,5),(6,8),(7,10),(9,11)]=>[1,1,1,0,0,1,1,0,1,0,0,0] [(1,4),(2,12),(3,5),(6,9),(7,10),(8,11)]=>[1,1,1,0,0,1,1,1,0,0,0,0] [(1,4),(2,12),(3,6),(5,7),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0] [(1,4),(2,12),(3,6),(5,7),(8,10),(9,11)]=>[1,1,1,0,1,0,0,1,1,0,0,0] [(1,4),(2,12),(3,6),(5,8),(7,9),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0] [(1,4),(2,12),(3,6),(5,8),(7,10),(9,11)]=>[1,1,1,0,1,0,1,0,1,0,0,0] [(1,4),(2,12),(3,6),(5,9),(7,10),(8,11)]=>[1,1,1,0,1,0,1,1,0,0,0,0] [(1,4),(2,12),(3,7),(5,8),(6,9),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0] [(1,4),(2,12),(3,7),(5,8),(6,10),(9,11)]=>[1,1,1,0,1,1,0,0,1,0,0,0] [(1,4),(2,12),(3,7),(5,9),(6,10),(8,11)]=>[1,1,1,0,1,1,0,1,0,0,0,0] [(1,4),(2,12),(3,8),(5,9),(6,10),(7,11)]=>[1,1,1,0,1,1,1,0,0,0,0,0] [(1,5),(2,12),(3,6),(4,7),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0] [(1,5),(2,12),(3,6),(4,7),(8,10),(9,11)]=>[1,1,1,1,0,0,0,1,1,0,0,0] [(1,5),(2,12),(3,6),(4,8),(7,9),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0] [(1,5),(2,12),(3,6),(4,8),(7,10),(9,11)]=>[1,1,1,1,0,0,1,0,1,0,0,0] [(1,5),(2,12),(3,6),(4,9),(7,10),(8,11)]=>[1,1,1,1,0,0,1,1,0,0,0,0] [(1,5),(2,12),(3,7),(4,8),(6,9),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0] [(1,5),(2,12),(3,7),(4,8),(6,10),(9,11)]=>[1,1,1,1,0,1,0,0,1,0,0,0] [(1,5),(2,12),(3,7),(4,9),(6,10),(8,11)]=>[1,1,1,1,0,1,0,1,0,0,0,0] [(1,5),(2,12),(3,8),(4,9),(6,10),(7,11)]=>[1,1,1,1,0,1,1,0,0,0,0,0] [(1,6),(2,12),(3,7),(4,8),(5,9),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0] [(1,6),(2,12),(3,7),(4,8),(5,10),(9,11)]=>[1,1,1,1,1,0,0,0,1,0,0,0] [(1,6),(2,12),(3,7),(4,9),(5,10),(8,11)]=>[1,1,1,1,1,0,0,1,0,0,0,0] [(1,6),(2,12),(3,8),(4,9),(5,10),(7,11)]=>[1,1,1,1,1,0,1,0,0,0,0,0] [(1,7),(2,12),(3,8),(4,9),(5,10),(6,11)]=>[1,1,1,1,1,1,0,0,0,0,0,0] [(1,4),(2,5),(3,12),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0] [(1,4),(2,5),(3,12),(6,7),(8,10),(9,11)]=>[1,1,1,0,0,1,0,1,1,0,0,0] [(1,4),(2,5),(3,12),(6,8),(7,9),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0] [(1,4),(2,5),(3,12),(6,8),(7,10),(9,11)]=>[1,1,1,0,0,1,1,0,1,0,0,0] [(1,4),(2,5),(3,12),(6,9),(7,10),(8,11)]=>[1,1,1,0,0,1,1,1,0,0,0,0] [(1,4),(2,6),(3,12),(5,7),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0] [(1,4),(2,6),(3,12),(5,7),(8,10),(9,11)]=>[1,1,1,0,1,0,0,1,1,0,0,0] [(1,4),(2,6),(3,12),(5,8),(7,9),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0] [(1,4),(2,6),(3,12),(5,8),(7,10),(9,11)]=>[1,1,1,0,1,0,1,0,1,0,0,0] [(1,4),(2,6),(3,12),(5,9),(7,10),(8,11)]=>[1,1,1,0,1,0,1,1,0,0,0,0] [(1,4),(2,7),(3,12),(5,8),(6,9),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0] [(1,4),(2,7),(3,12),(5,8),(6,10),(9,11)]=>[1,1,1,0,1,1,0,0,1,0,0,0] [(1,4),(2,7),(3,12),(5,9),(6,10),(8,11)]=>[1,1,1,0,1,1,0,1,0,0,0,0] [(1,4),(2,8),(3,12),(5,9),(6,10),(7,11)]=>[1,1,1,0,1,1,1,0,0,0,0,0] [(1,5),(2,6),(3,12),(4,7),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0] [(1,5),(2,6),(3,12),(4,7),(8,10),(9,11)]=>[1,1,1,1,0,0,0,1,1,0,0,0] [(1,5),(2,6),(3,12),(4,8),(7,9),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0] [(1,5),(2,6),(3,12),(4,8),(7,10),(9,11)]=>[1,1,1,1,0,0,1,0,1,0,0,0] [(1,5),(2,6),(3,12),(4,9),(7,10),(8,11)]=>[1,1,1,1,0,0,1,1,0,0,0,0] [(1,5),(2,7),(3,12),(4,8),(6,9),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0] [(1,5),(2,7),(3,12),(4,8),(6,10),(9,11)]=>[1,1,1,1,0,1,0,0,1,0,0,0] [(1,5),(2,7),(3,12),(4,9),(6,10),(8,11)]=>[1,1,1,1,0,1,0,1,0,0,0,0] [(1,5),(2,8),(3,12),(4,9),(6,10),(7,11)]=>[1,1,1,1,0,1,1,0,0,0,0,0] [(1,6),(2,7),(3,12),(4,8),(5,9),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0] [(1,6),(2,7),(3,12),(4,8),(5,10),(9,11)]=>[1,1,1,1,1,0,0,0,1,0,0,0] [(1,6),(2,7),(3,12),(4,9),(5,10),(8,11)]=>[1,1,1,1,1,0,0,1,0,0,0,0] [(1,6),(2,8),(3,12),(4,9),(5,10),(7,11)]=>[1,1,1,1,1,0,1,0,0,0,0,0] [(1,7),(2,8),(3,12),(4,9),(5,10),(6,11)]=>[1,1,1,1,1,1,0,0,0,0,0,0] [(1,5),(2,6),(3,7),(4,12),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0] [(1,5),(2,6),(3,7),(4,12),(8,10),(9,11)]=>[1,1,1,1,0,0,0,1,1,0,0,0] [(1,5),(2,6),(3,8),(4,12),(7,9),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0] [(1,5),(2,6),(3,8),(4,12),(7,10),(9,11)]=>[1,1,1,1,0,0,1,0,1,0,0,0] [(1,5),(2,6),(3,9),(4,12),(7,10),(8,11)]=>[1,1,1,1,0,0,1,1,0,0,0,0] [(1,5),(2,7),(3,8),(4,12),(6,9),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0] [(1,5),(2,7),(3,8),(4,12),(6,10),(9,11)]=>[1,1,1,1,0,1,0,0,1,0,0,0] [(1,5),(2,7),(3,9),(4,12),(6,10),(8,11)]=>[1,1,1,1,0,1,0,1,0,0,0,0] [(1,5),(2,8),(3,9),(4,12),(6,10),(7,11)]=>[1,1,1,1,0,1,1,0,0,0,0,0] [(1,6),(2,7),(3,8),(4,12),(5,9),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0] [(1,6),(2,7),(3,8),(4,12),(5,10),(9,11)]=>[1,1,1,1,1,0,0,0,1,0,0,0] [(1,6),(2,7),(3,9),(4,12),(5,10),(8,11)]=>[1,1,1,1,1,0,0,1,0,0,0,0] [(1,6),(2,8),(3,9),(4,12),(5,10),(7,11)]=>[1,1,1,1,1,0,1,0,0,0,0,0] [(1,7),(2,8),(3,9),(4,12),(5,10),(6,11)]=>[1,1,1,1,1,1,0,0,0,0,0,0] [(1,6),(2,7),(3,8),(4,9),(5,12),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0] [(1,6),(2,7),(3,8),(4,10),(5,12),(9,11)]=>[1,1,1,1,1,0,0,0,1,0,0,0] [(1,6),(2,7),(3,9),(4,10),(5,12),(8,11)]=>[1,1,1,1,1,0,0,1,0,0,0,0] [(1,6),(2,8),(3,9),(4,10),(5,12),(7,11)]=>[1,1,1,1,1,0,1,0,0,0,0,0] [(1,7),(2,8),(3,9),(4,10),(5,12),(6,11)]=>[1,1,1,1,1,1,0,0,0,0,0,0]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The Dyck path corresponding to the opener-closer sequence of the perfect matching.
Properties
surjective, graded
Sage code
def mapping(m):
    n = m.size()
    return DyckWord([1 if m.partner(i) > i else 0 for i in range(1,n+1)])
Weight
26
Created
Sep 03, 2020 at 14:42 by Martin Rubey
Updated
Sep 03, 2020 at 14:42 by Martin Rubey