Identifier
Mp00123: Dyck paths Barnabei-Castronuovo involutionDyck paths
Mp00024: Dyck paths to 321-avoiding permutationPermutations
Mp00160: Permutations graph of inversions Graphs
Images
=>
Cc0005;cc-rep-0Cc0005;cc-rep-1Cc0020;cc-rep-3
[1,0]=>[1,0]=>[1]=>([],1) [1,0,1,0]=>[1,0,1,0]=>[2,1]=>([(0,1)],2) [1,1,0,0]=>[1,1,0,0]=>[1,2]=>([],2) [1,0,1,0,1,0]=>[1,1,0,1,0,0]=>[1,3,2]=>([(1,2)],3) [1,0,1,1,0,0]=>[1,1,0,0,1,0]=>[3,1,2]=>([(0,2),(1,2)],3) [1,1,0,0,1,0]=>[1,0,1,1,0,0]=>[2,3,1]=>([(0,2),(1,2)],3) [1,1,0,1,0,0]=>[1,0,1,0,1,0]=>[2,1,3]=>([(1,2)],3) [1,1,1,0,0,0]=>[1,1,1,0,0,0]=>[1,2,3]=>([],3) [1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0]=>[2,1,4,3]=>([(0,3),(1,2)],4) [1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0]=>[2,4,1,3]=>([(0,3),(1,2),(2,3)],4) [1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>([(2,3)],4) [1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>([(1,3),(2,3)],4) [1,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,0]=>[4,1,2,3]=>([(0,3),(1,3),(2,3)],4) [1,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4) [1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0]=>[3,4,1,2]=>([(0,2),(0,3),(1,2),(1,3)],4) [1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>([(1,3),(2,3)],4) [1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0]=>[1,3,2,4]=>([(2,3)],4) [1,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0]=>[3,1,2,4]=>([(1,3),(2,3)],4) [1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,0]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4) [1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0]=>[2,3,1,4]=>([(1,3),(2,3)],4) [1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,0]=>[2,1,3,4]=>([(2,3)],4) [1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>([],4) [1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>([(1,4),(2,3)],5) [1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5) [1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>([(0,1),(2,4),(3,4)],5) [1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>([(0,1),(2,4),(3,4)],5) [1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,4]=>([(1,4),(2,3)],5) [1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,4]=>([(0,1),(2,4),(3,4)],5) [1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,4]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>([(3,4)],5) [1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>([(2,4),(3,4)],5) [1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5) [1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>([(0,4),(1,4),(2,4),(3,4)],5) [1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5) [1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5) [1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) [1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]=>[2,4,1,5,3]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0]=>[2,4,5,1,3]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0]=>[2,1,4,5,3]=>([(0,1),(2,4),(3,4)],5) [1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5]=>([(1,4),(2,3)],5) [1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,5]=>([(1,4),(2,3),(3,4)],5) [1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>([(2,4),(3,4)],5) [1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>([(3,4)],5) [1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>([(2,4),(3,4)],5) [1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>([(1,4),(2,4),(3,4)],5) [1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) [1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0]=>[3,1,4,5,2]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5]=>([(1,4),(2,3),(3,4)],5) [1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,5]=>([(1,3),(1,4),(2,3),(2,4)],5) [1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>([(1,4),(2,4),(3,4)],5) [1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>([(2,4),(3,4)],5) [1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>([(3,4)],5) [1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>([(2,4),(3,4)],5) [1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5) [1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>([(1,4),(2,4),(3,4)],5) [1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>([(2,4),(3,4)],5) [1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5]=>([(3,4)],5) [1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>([],5) [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5]=>([(0,5),(1,4),(2,3)],6) [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5]=>([(0,1),(2,5),(3,4),(4,5)],6) [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5]=>([(0,1),(2,5),(3,4),(4,5)],6) [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6) [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6) [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6) [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6) [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5]=>([(0,1),(2,5),(3,5),(4,5)],6) [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5]=>([(0,1),(2,5),(3,4),(4,5)],6) [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6) [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[3,4,1,6,2,5]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6) [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6) [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6) [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5]=>([(1,2),(3,5),(4,5)],6) [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5]=>([(0,5),(1,5),(2,4),(3,4)],6) [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5]=>([(0,1),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,4,6,5]=>([(1,2),(3,5),(4,5)],6) [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,5]=>([(0,5),(1,5),(2,4),(3,4)],6) [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5]=>([(2,5),(3,4)],6) [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5]=>([(1,2),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5]=>([(0,1),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5]=>([(4,5)],6) [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6) [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6) [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6) [1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,6,4]=>([(0,1),(2,5),(3,4),(4,5)],6) [1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,6,3,4]=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[2,5,1,6,3,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) [1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[2,5,6,1,3,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6) [1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,4]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,1,6,2,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,6,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) [1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) [1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) [1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,6,4]=>([(1,5),(2,4),(3,4),(3,5)],6) [1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6) [1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6) [1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6) [1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,6,4]=>([(0,5),(1,5),(2,4),(3,4)],6) [1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,6]=>([(1,2),(3,5),(4,5)],6) [1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,6]=>([(1,5),(2,4),(3,4),(3,5)],6) [1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,5,1,6,4]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,5,6,1,4]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,6,4]=>([(0,5),(1,5),(2,4),(3,4)],6) [1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,6]=>([(1,2),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,6]=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,6,4]=>([(1,2),(3,5),(4,5)],6) [1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,4,6]=>([(2,5),(3,4)],6) [1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,4,6]=>([(1,2),(3,5),(4,5)],6) [1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[2,5,1,3,4,6]=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,6]=>([(4,5)],6) [1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6) [1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6) [1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>([(1,5),(2,5),(3,5),(4,5)],6) [1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[4,1,5,6,2,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,6,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>[4,5,1,6,2,3]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,2,6,3]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,5,6,3]=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6) [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,5,6,3]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,5,1,6,3]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,5,6,1,3]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,5,6,3]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,5,3,6]=>([(1,5),(2,4),(3,4),(3,5)],6) [1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,5,1,3,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,5,6,3]=>([(0,1),(2,5),(3,5),(4,5)],6) [1,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>([(1,2),(3,5),(4,5)],6) [1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>([(2,5),(3,4)],6) [1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,5,6]=>([(2,5),(3,4),(4,5)],6) [1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6) [1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6) [1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,5,6]=>([(4,5)],6) [1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6) [1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,5,6]=>([(2,5),(3,5),(4,5)],6) [1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[3,4,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[3,4,1,5,2,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[3,4,5,1,2,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,4,5,6,2]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>([(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>([(2,5),(3,4),(4,5)],6) [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,5,6]=>([(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,5,6,2]=>([(1,5),(2,5),(3,5),(4,5)],6) [1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6) [1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6) [1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,4,5,6]=>([(4,5)],6) [1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,4,5,6]=>([(3,5),(4,5)],6) [1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6) [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,4,5,1,6]=>([(1,5),(2,5),(3,5),(4,5)],6) [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,4,1,5,6]=>([(2,5),(3,5),(4,5)],6) [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,4,5,6]=>([(3,5),(4,5)],6) [1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,4,5,6]=>([(4,5)],6) [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>([],6) [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7) [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,4,6]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,7,4,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,7,2,4,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7) [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,6]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,6]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,6]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,7,2,4,6]=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,6]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7) [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,4,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,7,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,1,7,4,6]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,5,7,1,4,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,4,7,6]=>([(1,6),(2,5),(3,4)],7) [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,7,4,6]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7) [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,6]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,5,7,3,4,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,5,1,3,4,7,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,7,4,6]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,5,1,7,3,4,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,5,7,1,3,4,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7) [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,7,4,6]=>([(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,6]=>([(2,6),(3,5),(4,5),(4,6)],7) [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,7,2,3,4,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,7,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,7,4,6]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,1,2,7,3,4,6]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,1,7,2,3,4,6]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,5,7,3,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,5,2,7,3,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,7,2,3,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,7,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,6]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,5,7,2,3,6]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,6]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,5,1,7,2,3,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,5,7,1,2,3,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,7,3,6]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,5,1,3,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,7,3,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,5,7,1,3,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,3,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7) [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,5,7,3,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,3,5,7,6]=>([(1,6),(2,5),(3,4)],7) [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,6]=>([(0,3),(1,2),(4,6),(5,6)],7) [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,7,3,5,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,4,1,3,5,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,4,1,3,7,5,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,4,1,7,3,5,6]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,4,7,1,3,5,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,4,5,3,7,6]=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,2,4,5,7,3,6]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7) [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,4,7,3,5,6]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,7,3,5,6]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,7,2,3,5,6]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,7,1,2,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,4,1,5,2,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,4,1,5,7,2,6]=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,4,5,1,2,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,4,5,1,7,2,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,7,1,2,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,7,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,4,5,7,2,6]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,4,7,2,5,6]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,4,1,2,5,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,7,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,4,1,7,2,5,6]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,4,7,1,2,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,4,5,2,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,4,5,7,2,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,7,6]=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,4,2,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7) [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,7,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,7,6]=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,7,2,4,5,6]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,7,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,4,5,7,1,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,5,7,6]=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,4,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,7,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,3,4,5,7,6]=>([(3,6),(4,5)],7) [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,4,7,5,6]=>([(2,3),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,7,1,3,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6]=>([(5,6)],7) [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,7,5]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,7,5]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,6,2,7,4,5]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,6,7,2,4,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,2,6,4,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,6,7,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,6,2,4,7,5]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,6,7,2,4,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,6,1,2,4,7,5]=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,6,1,2,7,4,5]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,6,1,7,2,4,5]=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,6,7,1,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,6,7,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,6,1,4,7,5]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,6,1,7,4,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,6,7,1,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,3,6,4,7,5]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,3,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,6,3,4,7,5]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,5]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,6,7,3,4,5]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,6,1,3,4,7,5]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,6,1,3,7,4,5]=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,6,1,7,3,4,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,6,7,1,3,4,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,7,5]=>([(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,6,3,4,7,5]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,7,5]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,1,2,3,4,7,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,1,2,3,7,4,5]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[6,1,2,7,3,4,5]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,1,7,2,3,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,7,5]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,7,3,5]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,6,2,3,7,5]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,6,7,2,3,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,7,5]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,7,3,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,7,5]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,5]=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,6,7,2,3,5]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,7,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,6,1,2,7,3,5]=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,6,1,7,2,3,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,6,7,1,2,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,6,7,3,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,6,1,3,7,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,6,1,7,3,5]=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,6,7,1,3,5]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,6,3,7,5]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,6,7,3,5]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,7,5]=>([(0,3),(1,2),(4,6),(5,6)],7) [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7]=>([(1,6),(2,5),(3,4)],7) [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5,7]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,7]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,7]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,7]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,6,3,7,5]=>([(2,6),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,6,7,3,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,6,7,5]=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7) [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,4,6,3,5,7]=>([(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,7]=>([(2,6),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,7,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5,7]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,7]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,4,1,6,2,7,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,4,1,6,7,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,4,6,1,2,7,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,4,6,1,7,2,5]=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,6,7,1,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,4,6,2,7,5]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,7,2,5]=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7) [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,7]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5,7]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,7,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,4,1,6,2,5,7]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,4,6,2,7,5]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,4,6,7,2,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,4,2,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5,7]=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5,7]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,6,7,5]=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7) [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,5,7]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5,7]=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5,7]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,7]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,4,6,1,7,5]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,6,7,1,5]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,6,7,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,4,6,1,5,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,1,4,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,1,4,6,5,7]=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,5,7]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,7]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,3,4,6,7,5]=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,7]=>([(3,6),(4,5)],7) [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5,7]=>([(2,3),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,7,5]=>([(4,6),(5,6)],7) [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7]=>([(5,6)],7) [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7) [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,7,4]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,2,6,7,3,4]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,6,2,3,7,4]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,6,2,7,3,4]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[5,1,2,6,3,7,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[5,1,2,6,7,3,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,7,4]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,4]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,1,6,7,2,3,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[5,6,1,2,3,7,4]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,6,1,2,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[5,6,1,7,2,3,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,5,1,6,3,7,4]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,5,1,6,7,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,5,6,1,3,7,4]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,5,6,1,7,3,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,5,6,7,1,3,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,5,6,3,7,4]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,6,7,3,4]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,6,7,4]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,7]=>([(1,2),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,5,1,3,6,4,7]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,5,1,6,3,4,7]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,6,1,3,4,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,5,6,3,7,4]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,5,6,7,3,4]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,5,3,6,7,4]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,7]=>([(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,7,4]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,7]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,6,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[5,1,2,3,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[5,1,2,3,6,4,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,2,6,3,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,1,6,2,3,4,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,6,1,2,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,5,1,6,2,7,4]=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,5,1,6,7,2,4]=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,5,6,1,2,7,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,5,6,1,7,2,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,5,6,7,1,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,5,6,2,7,4]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,5,6,7,2,4]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,6,7,4]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,7]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,5,6,2,4,7]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,6,7,4]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,5,1,2,6,4,7]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,7]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,6,2,7,4]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,6,7,2,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,2,6,7,4]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,2,6,4,7]=>([(2,6),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,6,2,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,5,6,7,4]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,7]=>([(2,3),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7) [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,7]=>([(3,6),(4,5),(5,6)],7) [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,5,6,4,7]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,5,4,6,7]=>([(2,3),(4,6),(5,6)],7) [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7]=>([(2,6),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,5,6,1,7,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,5,6,7,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,5,1,6,7,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,1,6,4,7]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,6,1,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,1,5,6,4,7]=>([(1,6),(2,6),(3,5),(4,5)],7) [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,1,5,4,6,7]=>([(2,3),(4,6),(5,6)],7) [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,1,4,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,5,6,7,4]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,3,5,6,4,7]=>([(2,3),(4,6),(5,6)],7) [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,3,5,4,6,7]=>([(3,6),(4,5)],7) [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7]=>([(2,3),(4,6),(5,6)],7) [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,5,1,3,4,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,5,6,7,4]=>([(3,6),(4,6),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,7]=>([(4,6),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7]=>([(5,6)],7) [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7) [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7) [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7]=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,5,1,6,2,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,5,1,6,7,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,5,6,1,2,7,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,5,6,1,7,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,1,5,6,2,7,3]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,5,6,7,2,3]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,6,7,3]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,7]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,6,7,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,5,1,2,6,3,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,5,6,2,7,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,5,6,7,2,3]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,5,2,6,7,3]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,5,2,6,3,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,5,6,2,3,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,5,6,7,3]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,5,6,3,7]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3,6,7]=>([(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[4,1,2,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,1,2,5,6,3,7]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,5,6,1,7,3]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,5,6,7,1,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,5,1,6,7,3]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,7]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,4,5,6,1,3,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,7]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,7]=>([(2,6),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,4,5,1,3,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,5,6,7,3]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,4,5,6,3,7]=>([(1,2),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,7]=>([(2,3),(4,6),(5,6)],7) [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>([(3,6),(4,5)],7) [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7]=>([(3,6),(4,5),(5,6)],7) [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,5,6,7,3]=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,5,6,3,7]=>([(3,6),(4,6),(5,6)],7) [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,5,3,6,7]=>([(4,6),(5,6)],7) [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7]=>([(5,6)],7) [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7) [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7]=>([(3,6),(4,6),(5,6)],7) [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,5,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,5,1,6,7,2]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,5,6,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1,5,6,7,2]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,4,1,5,2,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,4,5,1,2,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,5,6,7,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,1,4,5,6,2,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,4,5,2,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7]=>([(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,4,5,6,7,2]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,4,5,6,2,7]=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,4,5,2,6,7]=>([(3,6),(4,6),(5,6)],7) [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7]=>([(4,6),(5,6)],7) [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7]=>([(5,6)],7) [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7]=>([(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7]=>([(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7]=>([(3,6),(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7]=>([(4,6),(5,6)],7) [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7]=>([(5,6)],7) [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>([],7) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7]=>([(0,7),(1,6),(2,5),(3,4)],8) [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,8,5,7]=>([(0,3),(1,2),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5,8,7]=>([(0,3),(1,2),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,6,3,8,5,7]=>([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,6,8,3,5,7]=>([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,8,7]=>([(0,3),(1,2),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,8,5,7]=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,8,7]=>([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,7]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,6,8,3,5,7]=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,8,7]=>([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,6,1,3,8,5,7]=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,6,1,8,3,5,7]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8) [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,8,7]=>([(2,7),(3,6),(4,5)],8) [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,6,8,5,7]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,4,6,3,5,8,7]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,6,3,8,5,7]=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8) [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,6,8,3,5,7]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,8,7]=>([(1,2),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,8,5,7]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,8,3,5,7]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,6,2,3,8,5,7]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,6,8,2,3,5,7]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,8,7]=>([(0,3),(1,2),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,8,5,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8) [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5,8,7]=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,8,5,7]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,8,7]=>([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,8,5,7]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,6,2,8,3,5,7]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,6,8,2,3,5,7]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,8,7]=>([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,8,5,7]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8) [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,6,1,2,8,3,5,7]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8) [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,6,1,8,2,3,5,7]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,6,8,1,2,3,5,7]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7]=>([(0,3),(1,2),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,8,5,7]=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5,8,7]=>([(0,1),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,4,6,2,8,5,7]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,8,2,5,7]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,8,5,7]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8) [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[3,4,1,6,2,5,8,7]=>([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[3,4,1,6,2,8,5,7]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8) [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[3,4,1,6,8,2,5,7]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5,8,7]=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,6,8,1,2,5,7]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5,8,7]=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,4,6,8,2,5,7]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,8,7]=>([(2,7),(3,6),(4,5)],8) [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,6,8,5,7]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,8,5,7]=>([(1,2),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,8,5,7]=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,8,5,7]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5,8,7]=>([(0,1),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,6,8,4,5,7]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,8,7]=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,6,2,4,8,5,7]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,6,2,8,4,5,7]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,6,8,2,4,5,7]=>([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5,8,7]=>([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,6,1,2,4,8,5,7]=>([(0,6),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,6,1,2,8,4,5,7]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,6,1,8,2,4,5,7]=>([(0,7),(1,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,6,8,1,2,4,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,8,7]=>([(0,3),(1,2),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,6,8,5,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8) [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,3,4,6,1,8,5,7]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,6,8,1,5,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,3,1,4,6,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,8,5,7]=>([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,6,8,4,5,7]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,8,7]=>([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,3,6,1,4,8,5,7]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,3,6,1,8,4,5,7]=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,8,7]=>([(2,7),(3,6),(4,5)],8) [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5,8,7]=>([(0,3),(1,2),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,1,6,3,4,8,5,7]=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,1,6,3,8,4,5,7]=>([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,1,6,8,3,4,5,7]=>([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5,8,7]=>([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,6,1,3,4,8,5,7]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,6,1,3,8,4,5,7]=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,6,1,8,3,4,5,7]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8) [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,6,8,1,3,4,5,7]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,8,7]=>([(4,7),(5,6)],8) [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,8,5,7]=>([(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,8,5,7]=>([(3,7),(4,6),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,6,8,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,2,6,3,4,8,5,7]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,3,8,4,5,7]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,2,6,8,3,4,5,7]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,8,5,7]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,6,2,8,3,4,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,7]=>([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[6,1,2,3,4,8,5,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[6,1,2,3,8,4,5,7]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[6,1,2,8,3,4,5,7]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,1,8,2,3,4,5,7]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,8,1,2,3,4,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,8,7]=>([(0,3),(1,2),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,6,8,4,7]=>([(0,1),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,8,7]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,5,6,8,3,4,7]=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,5,1,3,6,4,8,7]=>([(0,1),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,6,8,4,7]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,5,1,6,3,4,8,7]=>([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,5,1,6,8,3,4,7]=>([(0,7),(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,5,6,1,3,4,8,7]=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,5,6,1,3,8,4,7]=>([(0,7),(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,5,6,8,1,3,4,7]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,8,7]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,5,6,3,8,4,7]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,5,6,8,3,4,7]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,8,7]=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,8,4,7]=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,4,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,8,4,7]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,5,2,6,8,3,4,7]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,5,6,2,3,4,8,7]=>([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,5,6,2,3,8,4,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,5,6,2,8,3,4,7]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[5,1,2,3,6,8,4,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[5,1,2,6,3,8,4,7]=>([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[5,1,2,6,8,3,4,7]=>([(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[5,1,6,2,3,4,8,7]=>([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,8,4,7]=>([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,1,6,2,8,3,4,7]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[5,6,1,2,3,4,8,7]=>([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,6,1,2,3,8,4,7]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[5,6,1,2,8,3,4,7]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[5,6,1,8,2,3,4,7]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,8,1,2,3,4,7]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,8,7]=>([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,6,8,4,7]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,5,6,2,4,8,7]=>([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,5,6,2,8,4,7]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8) [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,5,6,8,2,4,7]=>([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,5,1,2,6,4,8,7]=>([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,6,8,4,7]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,8,7]=>([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,5,1,6,8,2,4,7]=>([(0,6),(1,2),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,8,7]=>([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,5,6,1,8,2,4,7]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,5,6,8,1,2,4,7]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,2,6,4,8,7]=>([(1,2),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,2,6,8,4,7]=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,5,6,2,4,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,6,2,8,4,7]=>([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8) [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,5,6,8,2,4,7]=>([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,8,6,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,5,8,4,6,7]=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,8,7]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,8,6,7]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,5,2,8,4,6,7]=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,5,8,2,4,6,7]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,5,6,8,4,7]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8) [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,2,5,4,6,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,5,8,4,6,7]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8) [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,8,6,7]=>([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,5,2,8,4,6,7]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,5,8,2,4,6,7]=>([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,8,6,7]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,5,1,2,8,4,6,7]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,5,1,8,2,4,6,7]=>([(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,1,6,4,8,7]=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,5,1,6,8,4,7]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,6,1,4,8,7]=>([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,5,6,1,8,4,7]=>([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,5,6,8,1,4,7]=>([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,1,5,6,8,4,7]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8) [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,8,6,7]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8) [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,1,8,4,6,7]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,8,1,4,6,7]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,5,6,4,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,3,5,6,8,4,7]=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,5,4,6,8,7]=>([(2,7),(3,6),(4,5)],8) [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,3,5,8,4,6,7]=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,3,8,4,6,7]=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,5,8,3,4,6,7]=>([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,5,1,3,8,4,6,7]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,5,1,8,3,4,6,7]=>([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,5,8,1,3,4,6,7]=>([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,8,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,5,6,8,4,7]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,8,7]=>([(4,7),(5,6)],8) [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,8,6,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,5,8,4,6,7]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,5,3,4,6,8,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,5,3,8,4,6,7]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,2,3,8,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,8,2,3,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,8,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,2,3,8,4,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,8,3,4,6,7]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[5,8,1,2,3,4,6,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,8,7]=>([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,6,8,3,7]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,8,7]=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[4,1,5,6,2,8,3,7]=>([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[4,1,5,6,8,2,3,7]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[4,5,1,2,6,3,8,7]=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,6,8,3,7]=>([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,8,7]=>([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[4,5,1,6,2,8,3,7]=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[4,5,1,6,8,2,3,7]=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,8,7]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,6,1,2,8,3,7]=>([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[4,5,6,1,8,2,3,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,2,6,3,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,5,2,6,8,3,7]=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,5,6,8,2,3,7]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,5,6,8,3,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,5,3,6,8,7]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,8,6,7]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,8,6,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,2,8,3,6,7]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,5,6,3,8,7]=>([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,5,6,8,3,7]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,8,6,7]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,5,8,3,6,7]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,8,6,7]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,8,3,6,7]=>([(0,5),(1,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,8,6,7]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8) [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,8,3,6,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[4,5,1,8,2,3,6,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,8,1,2,3,6,7]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,8,7]=>([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,5,1,6,8,3,7]=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,6,1,3,8,7]=>([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,5,6,1,8,3,7]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8) [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,5,6,8,1,3,7]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,8,7]=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,1,5,6,8,3,7]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,8,7]=>([(1,2),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,8,6,7]=>([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,5,8,3,6,7]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,5,1,8,3,6,7]=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,4,5,6,3,8,7]=>([(0,3),(1,2),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,4,5,6,8,3,7]=>([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,4,5,8,3,6,7]=>([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,8,7]=>([(2,7),(3,6),(4,5)],8) [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,4,3,5,8,6,7]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,8,5,6,7]=>([(0,3),(1,2),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,4,8,3,5,6,7]=>([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,1,3,8,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8) [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,8,3,5,6,7]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,8,1,3,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,4,5,6,3,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,4,5,6,8,3,7]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,4,5,3,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,4,5,8,3,6,7]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,8,7]=>([(4,7),(5,6)],8) [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,8,6,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,4,8,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,4,2,8,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[4,1,2,3,8,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[4,1,2,8,3,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[4,1,8,2,3,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[4,8,1,2,3,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,8,7]=>([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,6,1,2,8,7]=>([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[3,4,5,6,1,8,2,7]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,6,8,1,2,7]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,8,7]=>([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[3,4,1,5,6,8,2,7]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[3,4,1,5,2,8,6,7]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,4,1,5,8,2,6,7]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,1,2,6,8,7]=>([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,8,1,2,6,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,4,5,6,2,8,7]=>([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,4,5,6,8,2,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,4,5,8,2,6,7]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,8,6,7]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,4,2,8,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8) [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,4,8,2,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,8,7]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,4,1,2,5,8,6,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[3,4,1,2,8,5,6,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[3,4,1,8,2,5,6,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8) [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[3,4,8,1,2,5,6,7]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,3,4,5,6,2,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,3,4,5,6,8,2,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,3,4,5,2,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,3,4,5,8,2,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,8,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,3,4,2,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,3,4,8,2,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,8,7]=>([(4,7),(5,6)],8) [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,8,6,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,3,2,4,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,3,8,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,8,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,1,2,4,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,1,2,8,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,1,8,2,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,8,1,2,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,8,7]=>([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,8,1,7]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,8,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,3,4,5,8,1,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,3,4,1,8,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,3,4,8,1,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,8,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,3,1,4,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,3,1,4,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,3,1,8,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,3,8,1,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,8,7]=>([(4,7),(5,6)],8) [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,1,3,4,5,8,6,7]=>([(3,4),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,1,3,4,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,1,3,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,1,8,3,4,5,6,7]=>([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,8,1,3,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8) [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,8,6]=>([(0,3),(1,2),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,7,8,5,6]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,4,7,3,5,8,6]=>([(0,1),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,4,7,8,3,5,6]=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,7,5,8,6]=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,7,8,5,6]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,4,1,7,3,5,8,6]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,4,1,7,3,8,5,6]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8) [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,7,8,3,5,6]=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,4,7,1,8,3,5,6]=>([(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4,7,8,1,3,5,6]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,2,4,7,3,5,8,6]=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,4,7,3,8,5,6]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,4,7,8,3,5,6]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,8,6]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,7,8,5,6]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,8,6]=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,2,7,3,8,5,6]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,7,8,3,5,6]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,7,2,3,5,8,6]=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,7,2,3,8,5,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,7,2,8,3,5,6]=>([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,7,8,2,3,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,8,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8) [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,7,8,5,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,2,7,3,5,8,6]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,7,8,3,5,6]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,7,2,3,5,8,6]=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,7,2,3,8,5,6]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,7,2,8,3,5,6]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,7,8,2,3,5,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,7,1,2,3,5,8,6]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,7,1,2,3,8,5,6]=>([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,7,1,2,8,3,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,7,1,8,2,3,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,8,6]=>([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,7,8,5,6]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8) [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,7,2,5,8,6]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,7,5,8,6]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,7,8,5,6]=>([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[3,4,7,1,2,5,8,6]=>([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,7,1,8,2,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,7,8,1,2,5,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,3,4,2,7,5,8,6]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,3,4,2,7,8,5,6]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,8,6]=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,3,4,7,8,2,5,6]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,7,5,8,6]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,3,2,7,4,8,5,6]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,3,7,2,4,5,8,6]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,3,7,2,4,8,5,6]=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,3,7,2,8,4,5,6]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,3,7,8,2,4,5,6]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,8,6]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,7,8,5,6]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,1,2,7,4,8,5,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,1,2,7,8,4,5,6]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8) [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,1,7,2,4,5,8,6]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,1,7,2,8,4,5,6]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8) [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,1,7,8,2,4,5,6]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,8,6]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,7,1,2,4,8,5,6]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,7,1,2,8,4,5,6]=>([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,7,1,8,2,4,5,6]=>([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,7,8,1,2,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,8,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8) [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,7,8,5,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,8,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,4,7,1,8,5,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8) [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,4,7,8,1,5,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,1,4,7,8,5,6]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,1,7,4,5,8,6]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8) [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,7,4,8,5,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,1,7,8,4,5,6]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8) [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,3,7,1,4,5,8,6]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,7,1,4,8,5,6]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8) [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,7,8,1,4,5,6]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,7,5,8,6]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,1,3,4,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,1,3,7,4,8,5,6]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,1,3,7,8,4,5,6]=>([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,8,6]=>([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,1,7,3,4,8,5,6]=>([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,1,7,3,8,4,5,6]=>([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,1,7,8,3,4,5,6]=>([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,7,1,3,4,5,8,6]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,7,1,3,8,4,5,6]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,7,1,8,3,4,5,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,7,8,1,3,4,5,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,8,6]=>([(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,7,8,5,6]=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,8,6]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,2,3,7,8,4,5,6]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,8,6]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,2,7,3,8,4,5,6]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,2,7,8,3,4,5,6]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,8,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,7,2,3,8,4,5,6]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,7,2,8,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,7,8,2,3,4,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,8,6]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,1,2,3,4,8,5,6]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,1,2,3,8,4,5,6]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[7,1,2,8,3,4,5,6]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,1,8,2,3,4,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,8,6]=>([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,7,8,4,6]=>([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,5,7,3,4,8,6]=>([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,5,7,3,8,4,6]=>([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,7,8,3,4,6]=>([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,5,1,3,7,4,8,6]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,7,8,4,6]=>([(0,7),(1,5),(2,3),(2,4),(3,6),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,5,1,7,3,4,8,6]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8) [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,5,1,7,8,3,4,6]=>([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,7,1,3,4,8,6]=>([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,5,7,1,8,3,4,6]=>([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,5,7,8,1,3,4,6]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,8,6]=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8) [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,5,3,7,8,4,6]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,8,6]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,5,7,3,8,4,6]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,5,7,8,3,4,6]=>([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,8,6]=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,7,8,4,6]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,8,6]=>([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8) [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,7,3,8,4,6]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,2,7,8,3,4,6]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,7,2,3,4,8,6]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,7,2,3,8,4,6]=>([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,7,2,8,3,4,6]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,7,8,2,3,4,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[5,1,2,3,7,4,8,6]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[5,1,2,3,7,8,4,6]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8) [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,2,7,3,4,8,6]=>([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[5,1,2,7,3,8,4,6]=>([(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[5,1,2,7,8,3,4,6]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[5,1,7,2,3,4,8,6]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8) [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,7,2,8,3,4,6]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[5,1,7,8,2,3,4,6]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,8,6]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,7,1,2,8,3,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[5,7,1,8,2,3,4,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,7,8,1,2,3,4,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,8,6]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,7,8,4,6]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8) [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,8,6]=>([(0,5),(1,4),(2,3),(2,6),(3,7),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,5,7,2,8,4,6]=>([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,5,7,8,2,4,6]=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,8,6]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8) [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,7,8,4,6]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,5,1,7,2,8,4,6]=>([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,5,1,7,8,2,4,6]=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,8,6]=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,5,7,8,1,2,4,6]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,2,7,4,8,6]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,2,7,8,4,6]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,8,6]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,7,2,8,4,6]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,7,8,2,4,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,5,7,8,4,6]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,8]=>([(2,7),(3,6),(4,5)],8) [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,4,6,8]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6,8]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,7,4,6,8]=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8) [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,7,2,4,6,8]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,5,7,4,8,6]=>([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6,8]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6,8]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6,8]=>([(1,2),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,6,8]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,6,8]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,7,8,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,7,6,8]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,6,8]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,7,2,4,6,8]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,6,8]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,1,7,4,8,6]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,1,4,8,6]=>([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,5,7,1,8,4,6]=>([(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,5,7,8,1,4,6]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,5,7,8,4,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6,8]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,7,6,8]=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,5,7,1,4,6,8]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,3,5,4,7,8,6]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,5,7,3,4,6,8]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,5,7,4,8,6]=>([(3,7),(4,6),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,5,7,8,4,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,7,8,6]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6,8]=>([(4,7),(5,6)],8) [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,7,4,6,8]=>([(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,4,7,8,6]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,7,6,8]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,6,8]=>([(3,7),(4,6),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,7,8,6]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,6,8]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,7,8,6]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[5,1,7,2,3,4,6,8]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,6,8]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,8,6]=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8) [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,7,8,3,6]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[4,1,5,7,2,8,3,6]=>([(0,6),(1,2),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,8,6]=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,7,8,3,6]=>([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[4,5,1,7,2,3,8,6]=>([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[4,5,1,7,2,8,3,6]=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[4,5,1,7,8,2,3,6]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,7,8,1,2,3,6]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,4,5,2,7,3,8,6]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,4,5,2,7,8,3,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,8,6]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,4,5,7,8,2,3,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,5,7,3,8,6]=>([(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,5,7,8,3,6]=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6,8]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,5,7,3,6,8]=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3,7,8,6]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,4,5,2,7,3,6,8]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,7,2,3,6,8]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[4,1,2,5,7,3,8,6]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[4,1,2,5,7,8,3,6]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3,7,8,6]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,7,6,8]=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6,8]=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,7,8,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,7,6,8]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,6,8]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,7,6,8]=>([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,6,8]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,1,7,3,8,6]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,4,5,1,7,8,3,6]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,4,5,7,1,8,3,6]=>([(0,7),(1,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4,5,7,8,1,3,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,1,5,7,3,8,6]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,7,8,6]=>([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6,8]=>([(1,2),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,5,1,3,7,8,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,4,5,1,3,7,6,8]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,7,3,6,8]=>([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8) [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,4,5,7,3,8,6]=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,4,5,7,8,3,6]=>([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,7,8,6]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,2,4,5,7,8,3,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,4,5,3,7,8,6]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,4,5,3,7,6,8]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,4,5,7,3,6,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,7,8,6]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,7,6,8]=>([(4,7),(5,6)],8) [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,4,7,3,5,6,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,7,8,6]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,7,6,8]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,6,8]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,7,8,6]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,6,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,2,7,3,5,6,8]=>([(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,7,2,3,5,6,8]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,7,1,2,3,5,6,8]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[3,4,5,1,7,8,2,6]=>([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[3,4,5,7,1,8,2,6]=>([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,7,8,1,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,7,2,8,6]=>([(0,6),(1,7),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[3,4,1,5,7,8,2,6]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,1,5,2,7,6,8]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[3,4,1,5,7,2,6,8]=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[3,4,5,1,2,7,8,6]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8) [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,7,1,2,6,8]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,4,5,7,2,8,6]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,4,5,7,8,2,6]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,4,5,2,7,8,6]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,7,6,8]=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,7,8,6]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,6,8]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,5,7,8,6]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,1,2,5,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,7,5,6,8]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,3,4,5,7,8,2,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,3,4,5,2,7,8,6]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,3,4,5,2,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,7,8,6]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,7,6,8]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,6,8]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,7,6,8]=>([(4,7),(5,6)],8) [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,3,7,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,7,8,6]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,7,6,8]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,1,2,7,4,5,6,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,1,7,2,4,5,6,8]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,6,8]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,4,5,7,1,8,6]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,7,8,1,6]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,4,5,1,7,8,6]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,7,6,8]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,4,5,7,1,6,8]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,5,7,8,6]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,6,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,6,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,5,7,6,8]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,3,1,4,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,7,1,4,5,6,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,7,8,6]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>([(4,7),(5,6)],8) [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,1,3,4,7,5,6,8]=>([(3,4),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,6,8]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,7,1,3,4,5,6,8]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,6]=>([(5,7),(6,7)],8) [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,8]=>([(6,7)],8) [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8) [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,8,5]=>([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,1,6,3,7,8,4,5]=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[2,1,6,7,3,4,8,5]=>([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,1,6,7,8,3,4,5]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,6,1,3,7,4,8,5]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,6,1,3,7,8,4,5]=>([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,6,1,7,3,4,8,5]=>([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,6,1,7,8,3,4,5]=>([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,6,7,1,3,4,8,5]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,6,7,1,3,8,4,5]=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,6,7,1,8,3,4,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,6,7,8,1,3,4,5]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,2,6,3,7,4,8,5]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,2,6,3,7,8,4,5]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,8,5]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,2,6,7,3,8,4,5]=>([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,2,6,7,8,3,4,5]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,8,5]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,6,2,3,7,8,4,5]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,8,5]=>([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,6,2,7,3,8,4,5]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,6,2,7,8,3,4,5]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,6,7,2,3,8,4,5]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,6,7,2,8,3,4,5]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[6,1,2,3,7,4,8,5]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[6,1,2,3,7,8,4,5]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[6,1,2,7,3,4,8,5]=>([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[6,1,2,7,3,8,4,5]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[6,1,2,7,8,3,4,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[6,1,7,2,3,4,8,5]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[6,1,7,2,3,8,4,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,7,2,8,3,4,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[6,1,7,8,2,3,4,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,8,5]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[6,7,1,2,3,8,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,7,1,2,8,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[6,7,1,8,2,3,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,8,5]=>([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8) [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,6,7,2,8,4,5]=>([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,6,1,2,7,4,8,5]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,6,1,2,7,8,4,5]=>([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,6,1,7,2,4,8,5]=>([(0,6),(1,2),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,6,1,7,2,8,4,5]=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,6,1,7,8,2,4,5]=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,6,7,1,2,4,8,5]=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,6,7,1,2,8,4,5]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,6,7,8,1,2,4,5]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,3,6,2,7,4,8,5]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,2,7,8,4,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,6,7,2,4,8,5]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,6,7,8,2,4,5]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,6,7,4,8,5]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,6,7,8,4,5]=>([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,7,5,8]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,6,7,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,7,8,5]=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,7,5,8]=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,3,6,2,7,4,5,8]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,6,7,4,8,5]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,6,7,8,4,5]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8) [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,7,8,5]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8) [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,6,4,7,5,8]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,7,8,5]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,5,8]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,6,7,2,4,5,8]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,7,8,5]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,6,1,2,4,7,5,8]=>([(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,6,7,1,2,4,5,8]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,1,7,8,4,5]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,1,8,4,5]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,3,6,7,8,1,4,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,6,7,8,4,5]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8) [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5,8]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,7,8,5]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,3,6,1,4,7,5,8]=>([(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,1,3,6,7,4,8,5]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,6,7,8,4,5]=>([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,7,8,5]=>([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,5,8]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,7,8,5]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,6,1,3,4,7,5,8]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,6,1,7,3,4,5,8]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,6,7,1,3,4,5,8]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,6,7,4,8,5]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,6,7,8,4,5]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,7,8,5]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,7,5,8]=>([(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,6,7,4,5,8]=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,7,8,5]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,2,6,3,4,7,5,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,2,6,3,7,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,5,8]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,7,8,5]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,7,5,8]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,5,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,6,7,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,7,8,5]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[6,1,2,3,4,7,5,8]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[6,1,2,3,7,4,5,8]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[6,1,2,7,3,4,5,8]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[6,1,7,2,3,4,5,8]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5,8]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,8,5]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8) [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,6,7,2,3,8,5]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8) [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,6,7,8,2,3,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,6,1,2,7,8,3,5]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,6,1,7,2,8,3,5]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,6,1,7,8,2,3,5]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,6,7,1,2,3,8,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,6,7,1,2,8,3,5]=>([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,6,7,1,8,2,3,5]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,6,7,8,1,2,3,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,6,2,7,3,8,5]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,6,2,7,8,3,5]=>([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,6,7,2,8,3,5]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,6,7,8,2,3,5]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,6,7,8,3,5]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,7,5,8]=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8) [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,6,7,3,5,8]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,7,8,5]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8) [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,6,7,2,3,5,8]=>([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,1,2,6,7,3,8,5]=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,7,8,5]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,7,5,8]=>([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,6,7,3,5,8]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8) [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,7,8,5]=>([(0,5),(1,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,7,5,8]=>([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6)],8) [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,5,8]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,6,7,2,3,5,8]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,7,5,8]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,6,1,2,7,3,5,8]=>([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,6,1,7,2,3,5,8]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,6,7,1,2,3,5,8]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,4,6,1,7,3,8,5]=>([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,4,6,7,1,3,8,5]=>([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,6,7,8,1,3,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,4,1,6,7,3,8,5]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1,6,7,8,3,5]=>([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7)],8) [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,3,7,8,5]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,8]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,6,1,3,7,5,8]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,6,7,1,3,5,8]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,4,6,7,3,8,5]=>([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,6,7,8,3,5]=>([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,6,3,7,8,5]=>([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,6,3,7,5,8]=>([(1,2),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,6,7,8,5]=>([(0,3),(1,2),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,3,6,7,5,8]=>([(1,4),(2,3),(5,7),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>([(2,7),(3,6),(4,5)],8) [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,6,3,5,7,8]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,7,8,5]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8) [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,7,8]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,7,8]=>([(2,7),(3,6),(4,5),(4,6),(5,7)],8) [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,7,8]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,6,7,8,3,5]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,6,7,8,5]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,2,4,3,6,7,5,8]=>([(3,4),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,7,8]=>([(4,7),(5,6)],8) [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,4,6,3,5,7,8]=>([(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,6,7,8,5]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,2,3,6,7,5,8]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,7,8]=>([(3,4),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,7,8]=>([(3,7),(4,6),(5,6),(5,7)],8) [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,6,7,8,5]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,6,7,5,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,7,8]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,7,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,7,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[3,4,6,1,7,2,8,5]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,6,1,7,8,2,5]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,6,7,1,8,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,6,7,8,1,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[3,4,1,6,7,2,8,5]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1,6,7,8,2,5]=>([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[3,4,1,6,2,7,8,5]=>([(0,7),(1,7),(2,3),(2,4),(3,6),(4,6),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[3,4,1,6,2,7,5,8]=>([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[3,4,1,6,7,2,5,8]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[3,4,6,1,2,7,8,5]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,6,7,1,2,5,8]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[3,1,4,6,7,2,8,5]=>([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,6,7,8,2,5]=>([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,4,6,2,7,8,5]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,6,7,8,5]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8) [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5,8]=>([(1,7),(2,6),(3,5),(4,5),(6,7)],8) [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,7,8]=>([(2,3),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,7,8,5]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[3,4,1,2,6,7,5,8]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8) [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,7,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,4,6,7,2,8,5]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,3,4,6,2,7,5,8]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,4,6,7,2,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,6,7,8,5]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,6,7,5,8]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,4,6,2,5,7,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,7,8]=>([(4,7),(5,6)],8) [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,6,7,8,5]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,4,6,7,5,8]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,7,8]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,6,1,2,4,5,7,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,6,7,8,1,5]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,3,4,6,1,7,8,5]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,3,4,6,7,1,5,8]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,6,7,8,5]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,6,7,5,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,7,8]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,3,4,6,1,5,7,8]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,6,7,5,8]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,6,4,5,7,8]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,7,8]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,6,7,8,5]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,7,8]=>([(4,7),(5,6)],8) [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,6,1,3,4,5,7,8]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,6,7,8,5]=>([(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,6,7,5,8]=>([(5,7),(6,7)],8) [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7,8]=>([(6,7)],8) [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8) [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,8,4]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[5,1,6,7,2,3,8,4]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[5,1,6,7,2,8,3,4]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[5,1,6,7,8,2,3,4]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[5,6,1,2,7,3,8,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[5,6,1,2,7,8,3,4]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[5,6,1,7,2,3,8,4]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[5,6,1,7,8,2,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,8,4]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,7,1,2,8,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,6,7,1,8,2,3,4]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,5,6,2,7,8,3,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,5,6,7,2,3,8,4]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,5,6,7,2,8,3,4]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,5,6,7,8,2,3,4]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,5,2,6,7,8,3,4]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,7,8,4]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,7,4,8]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,5,2,6,7,3,4,8]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,5,6,2,3,7,8,4]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[5,1,2,6,7,3,8,4]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[5,1,2,6,7,8,3,4]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[5,1,2,6,3,7,8,4]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[5,1,2,6,3,7,4,8]=>([(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[5,1,2,6,7,3,4,8]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[5,1,6,2,3,7,8,4]=>([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,7,4,8]=>([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,4,8]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[5,6,1,2,3,7,8,4]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[5,6,1,7,2,3,4,8]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4,8]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,5,6,1,7,8,3,4]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,5,6,7,1,3,8,4]=>([(0,7),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,5,6,7,1,8,3,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5,6,7,8,1,3,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,5,1,6,7,3,8,4]=>([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,5,1,6,7,8,3,4]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,5,1,6,3,7,8,4]=>([(0,7),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,5,1,6,3,7,4,8]=>([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,5,6,1,3,7,8,4]=>([(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,5,6,1,3,7,4,8]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,5,6,1,7,3,4,8]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,7,3,8,4]=>([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,5,6,7,8,3,4]=>([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,6,3,7,8,4]=>([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,5,6,3,7,4,8]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,5,6,7,3,4,8]=>([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,6,7,8,4]=>([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,6,7,4,8]=>([(1,2),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,7,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,5,1,3,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,4,7,8]=>([(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,5,1,6,3,4,7,8]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,5,6,7,3,8,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,5,6,7,8,3,4]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,5,6,3,7,8,4]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,5,6,3,7,4,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,6,7,8,4]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,6,7,4,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,7,8]=>([(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,5,6,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,6,7,8,4]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,6,7,4,8]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,7,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,6,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,5,6,2,3,4,7,8]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,6,7,4,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,6,4,7,8]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,4,7,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[5,1,6,2,3,4,7,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,5,6,1,7,2,8,4]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,5,6,1,7,8,2,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,5,6,7,1,2,8,4]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,5,6,7,1,8,2,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5,6,7,8,1,2,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,5,1,6,7,2,8,4]=>([(0,7),(1,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,5,1,6,7,8,2,4]=>([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,5,1,6,2,7,8,4]=>([(0,7),(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,5,1,6,2,7,4,8]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,5,1,6,7,2,4,8]=>([(1,2),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,5,6,1,2,7,8,4]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,5,6,1,2,7,4,8]=>([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,5,6,7,1,2,4,8]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,1,5,6,7,2,8,4]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8) [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,5,6,7,8,2,4]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,5,6,2,7,8,4]=>([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,5,6,2,4,7,8]=>([(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,5,1,2,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8) [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,6,7,4,8]=>([(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8) [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,7,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,7,8]=>([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,5,6,7,2,8,4]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,5,6,7,8,2,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,5,6,2,7,8,4]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,5,6,2,7,4,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,5,6,7,2,4,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,5,2,6,7,4,8]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,5,6,2,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,5,6,7,4,8]=>([(2,3),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,7,8]=>([(3,4),(5,7),(6,7)],8) [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8) [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,7,8]=>([(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,5,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,5,6,7,4,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,5,6,7,1,8,4]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,5,6,7,8,1,4]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,5,6,1,7,8,4]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,5,6,7,1,4,8]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,5,1,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,5,6,1,4,7,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,5,6,7,4,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,5,6,4,7,8]=>([(2,7),(3,7),(4,6),(5,6)],8) [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,5,4,6,7,8]=>([(3,4),(5,7),(6,7)],8) [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,5,1,4,6,7,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,5,6,7,8,4]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,5,4,6,7,8]=>([(4,7),(5,6)],8) [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7,8]=>([(3,4),(5,7),(6,7)],8) [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,1,3,4,6,7,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,4]=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,5,6,7,4,8]=>([(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,7,8]=>([(5,7),(6,7)],8) [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8) [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8) [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[4,5,6,1,7,2,8,3]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[4,5,6,1,7,8,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,6,7,1,2,8,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,5,6,7,1,8,2,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[4,5,1,6,7,2,8,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[4,5,1,6,7,8,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[4,5,1,6,2,7,8,3]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[4,5,1,6,2,7,3,8]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[4,5,1,6,7,2,3,8]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,6,1,2,7,8,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[4,5,6,1,2,7,3,8]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[4,5,6,1,7,2,3,8]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3,8]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[4,1,5,6,7,2,8,3]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[4,1,5,6,7,8,2,3]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[4,1,5,6,7,2,3,8]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,6,7,8,3]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,7,8]=>([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,7,8]=>([(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,6,7,8,3]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[4,5,1,2,6,7,3,8]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,7,8]=>([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,7,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,4,5,6,7,2,8,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,4,5,6,7,8,2,3]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,4,5,6,2,7,8,3]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,5,6,2,7,3,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,5,6,7,2,3,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,4,5,2,6,7,8,3]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,5,2,6,7,3,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,5,2,6,3,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,5,6,2,3,7,8]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,5,6,7,8,3]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,2,5,6,7,3,8]=>([(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,5,3,6,7,8]=>([(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,5,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,5,6,7,8,3]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[4,1,2,5,6,7,3,8]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,5,6,3,7,8]=>([(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,5,3,6,7,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,3,6,7,8]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,5,6,7,1,8,3]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,4,5,6,7,8,1,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,5,6,1,7,8,3]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,5,6,1,7,3,8]=>([(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,5,6,7,1,3,8]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,5,1,6,7,8,3]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,7,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,5,6,1,3,7,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1,5,6,7,8,3]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,1,5,6,7,3,8]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,7,8]=>([(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,7,8]=>([(3,7),(4,6),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,5,1,3,6,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,5,6,7,8,3]=>([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,4,5,6,7,3,8]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,7,8]=>([(3,4),(5,7),(6,7)],8) [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>([(4,7),(5,6)],8) [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7,8]=>([(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,4,5,6,7,8,3]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,4,5,6,7,3,8]=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,4,5,6,3,7,8]=>([(4,7),(5,7),(6,7)],8) [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8) [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8) [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7,8]=>([(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,5,6,7,1,8,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,5,6,1,7,8,2]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[3,4,5,6,1,7,2,8]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2,8]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,5,1,6,7,8,2]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[3,4,5,1,6,7,2,8]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,7,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,5,6,1,2,7,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1,5,6,7,8,2]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[3,4,1,5,6,7,2,8]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,7,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[3,4,1,5,2,6,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[3,4,5,1,2,6,7,8]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,2]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,4,5,6,7,2,8]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,4,5,2,6,7,8]=>([(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7,8]=>([(4,7),(5,6),(6,7)],8) [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,2]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,3,4,5,6,7,2,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,3,4,5,6,2,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,3,4,5,2,6,7,8]=>([(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7,8]=>([(5,7),(6,7)],8) [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8) [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8]=>([(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7,8]=>([(4,7),(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8]=>([(5,7),(6,7)],8) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8]=>([(6,7)],8) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>([],8) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,9,2]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,9,2,3,4,5,6,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,9,2]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,4,5,6,7,8,9,3]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,2,9,3,4,5,6,7,8]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,9,1,3,4,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,9,10,11,2]=>([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,9,10,2]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1,5,6,7,8,9,2]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,4,5,6,7,8,9,3]=>([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,9,4]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,9,4,5,6,7,8]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[2,1,9,3,4,5,6,7,8]=>([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,2,10,3,4,5,6,7,8,9]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[2,10,1,3,4,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) [1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[1,11,2,3,4,5,6,7,8,9,10]=>([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) [1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12) [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,9,10,11,2]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,1,4,5,6,7,8,9,10,3]=>([(0,1),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[4,1,2,5,6,7,8,9,3]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,3,5,6,7,8,9,4]=>([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,6,7,8,9,5]=>([(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,9,5,6,7,8]=>([(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,10,4,5,6,7,8,9]=>([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[2,3,9,1,4,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[2,1,10,3,4,5,6,7,8,9]=>([(0,1),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[4,9,1,2,3,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[2,11,1,3,4,5,6,7,8,9,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>([(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,4,2,5,6,7,8,9,3]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,1,2,5,6,7,8,9,4]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9) [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,9,6]=>([(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,9,6,7,8]=>([(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,10,5,6,7,8,9]=>([(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[2,3,1,9,4,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9) [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[3,1,2,9,4,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9) [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,3,9,2,4,5,6,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[5,9,1,2,3,4,6,7,8]=>([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>([(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,5,6,7,1,8,9,2]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,6,7,8,9,3]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(5,6),(5,7),(6,8),(7,8)],9) [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,9,7]=>([(6,8),(7,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,9,7,8]=>([(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,10,6,7,8,9]=>([(5,9),(6,9),(7,9),(8,9)],10) [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,9,1,2,3,4,5,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,9,1,2,3,4,5,7,8]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,9,2]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,8,9,7]=>([(4,8),(5,8),(6,7)],9) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,9,8]=>([(7,8)],9) [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,4,5,6,7,8,9,1,3]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,9,7,8]=>([(4,8),(5,8),(6,7)],9) [1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[4,1,2,3,9,5,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9) [1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[2,3,4,10,1,5,6,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10) [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,1,9,2,3,4,5,6,7]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[7,9,1,2,3,4,5,6,8]=>([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>([(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,9,8]=>([(5,8),(6,7)],9) [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,10,8,9]=>([(7,9),(8,9)],10) [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,4,5,6,7,8,9,2,3]=>([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,5,6,7,8,9,1,4]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,2,4,9,3,5,6,7,8]=>([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[8,1,2,9,3,4,5,6,7]=>([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[7,1,9,2,3,4,5,6,8]=>([(0,8),(1,7),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,10,1,2,3,4,5,6,8,9]=>([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,10,2]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>([(8,9)],10) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,4,5,6,7,8,9,10,1,3]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,4,5,6,7,8,2,9,3]=>([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[4,1,5,6,7,8,9,2,3]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,6,7,8,9,1,5]=>([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,9,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9) [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,9,6,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7)],9) [1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[1,8,2,9,3,4,5,6,7]=>([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[2,8,9,1,3,4,5,6,7]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[1,7,9,2,3,4,5,6,8]=>([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,1,10,2,3,4,5,6,7,8]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,10,1,2,3,4,5,6,7,9]=>([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) []=>[]=>[]=>([],0) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>([(1,8),(2,7),(3,6),(4,5)],9) [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,8,7,9]=>([(1,4),(2,3),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,8,5,7,9]=>([(1,8),(2,6),(3,5),(4,7),(5,6),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,8,7,9]=>([(1,2),(3,6),(4,5),(5,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,7,9]=>([(1,8),(2,7),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,6,8,3,5,7,9]=>([(1,8),(2,6),(3,4),(3,8),(4,7),(5,6),(5,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,8,7,9]=>([(1,2),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,6,8,1,3,5,7,9]=>([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,8,7,9]=>([(3,8),(4,7),(5,6)],9) [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,8,7,9]=>([(1,4),(2,3),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,6,2,8,3,5,7,9]=>([(1,8),(2,7),(3,6),(3,7),(4,6),(4,8),(5,6),(5,7),(5,8)],9) [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,8,7,9]=>([(1,2),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7,9]=>([(1,4),(2,3),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,8,7,9]=>([(1,4),(2,3),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,8,5,7,9]=>([(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,8,7,9]=>([(1,2),(3,6),(4,5),(5,7),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,8,7,9]=>([(1,2),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,8,7,9]=>([(2,3),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,8,7,9]=>([(1,2),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,8,7,9]=>([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,8,1,7,9]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[2,1,8,3,4,5,6,7,9]=>([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[2,8,1,3,4,5,6,7,9]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7,9]=>([(7,8)],9) [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,7,9]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,9]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,7,3,8,5,6,9]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,8),(5,8),(6,8)],9) [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,8,6,9]=>([(1,8),(2,8),(3,8),(4,7),(5,6),(6,7)],9) [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,8,6,9]=>([(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,7,8,5,6,9]=>([(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,8,6,9]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[7,1,8,2,3,4,5,6,9]=>([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6,9]=>([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,8,6,9]=>([(1,8),(2,6),(3,4),(3,8),(4,7),(5,6),(5,7),(7,8)],9) [1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,7,6,8,9]=>([(2,3),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[2,3,4,5,7,1,6,8,9]=>([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,6,9]=>([(6,8),(7,8)],9) [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,8,9]=>([(7,8)],9) [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6,8,9]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8,9]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,8,5,9]=>([(1,2),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5,9]=>([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,8,5,9]=>([(1,8),(2,6),(3,4),(3,8),(4,7),(5,6),(5,7),(7,8)],9) [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,8,5,9]=>([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,8,9]=>([(2,8),(3,7),(4,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9]=>([(3,8),(4,7),(5,6)],9) [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,7,8,9]=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,7,8,9]=>([(3,4),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,3,4,6,1,5,7,8,9]=>([(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7,8,9]=>([(7,8)],9) [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7,8,9]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,8,4,9]=>([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[5,6,7,1,8,2,3,4,9]=>([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4,9]=>([(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9) [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,5,3,6,7,4,8,9]=>([(2,3),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,7,8,9]=>([(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,3,5,6,7,1,8,4,9]=>([(1,8),(2,8),(3,7),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,3,1,5,4,6,7,8,9]=>([(4,8),(5,8),(6,7)],9) [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,3,5,1,4,6,7,8,9]=>([(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,4,9]=>([(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7,8,9]=>([(7,8)],9) [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7,8,9]=>([(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3,9]=>([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,7,8,9]=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,7,8,9]=>([(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,5,6,7,8,1,3,9]=>([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,7,8,9]=>([(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,1,4,5,6,7,8,3,9]=>([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>([(5,8),(6,7)],9) [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7,8,9]=>([(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,4,5,6,3,7,8,9]=>([(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,4,5,3,6,7,8,9]=>([(6,8),(7,8)],9) [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7,8,9]=>([(7,8)],9) [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7,8,9]=>([(6,8),(7,8)],9) [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7,8,9]=>([(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2,9]=>([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,4,5,6,1,7,2,8,9]=>([(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2,8,9]=>([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,2,9]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7,8,9]=>([(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7,8,9]=>([(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,2,9]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,3,4,5,6,7,2,8,9]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7,8,9]=>([(6,8),(7,8)],9) [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,8,9]=>([(7,8)],9) [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8,9]=>([(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7,8,9]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7,8,9]=>([(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7,8,9]=>([(5,8),(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8,9]=>([(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>([(7,8)],9) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9]=>([],9) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>([(1,8),(2,7),(3,6),(4,5)],9) [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,9,6,8]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,10,9]=>([(0,9),(1,8),(2,7),(3,6),(4,5)],10) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,10,7,9]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10) [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,8,5,10,7,9]=>([(1,9),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8,10]=>([(2,9),(3,8),(4,7),(5,6)],10) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8,11,10]=>([(1,10),(2,9),(3,8),(4,7),(5,6)],11) [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,7,2,9,4,6,8]=>([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8)],9) [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,5,7,9,1,2,4,6,8]=>([(0,8),(1,6),(1,7),(2,5),(2,8),(3,4),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,7,2,9,3,4,6,8]=>([(0,8),(1,7),(2,6),(2,7),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,6,2,8,3,10,5,7,9]=>([(0,9),(1,8),(2,6),(2,8),(3,7),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,9)],10) [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,6,8,10,1,3,5,7,9]=>([(0,9),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10) [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,9,7,10]=>([(1,9),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10) [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,7,9,1,2,3,4,6,8]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,9,6,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,9,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9) [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,3,5,7,2,8,4,9,6,10]=>([(2,9),(3,8),(4,7),(4,8),(5,7),(5,9),(6,7),(6,8),(6,9)],10) [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,10,7,8,9]=>([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10) [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,4,6,9,8]=>([(1,4),(2,3),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6,9,8]=>([(1,4),(2,3),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,7,2,4,6,9,8]=>([(1,2),(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6,9,8]=>([(0,5),(1,4),(2,3),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,7,6,9,8]=>([(0,3),(1,2),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,6,9,8]=>([(0,1),(2,8),(3,7),(3,8),(4,5),(4,6),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6,9,8]=>([(0,5),(1,4),(2,3),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,7,6,9,8]=>([(0,3),(1,2),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6,9,8]=>([(3,8),(4,7),(5,6)],9) [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,7,4,6,9,8]=>([(3,4),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6,9,8]=>([(1,4),(2,3),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,7,6,9,8]=>([(0,3),(1,2),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,1,5,2,7,6,9,8]=>([(0,3),(1,2),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,7,6,9,8]=>([(0,3),(1,2),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,7,9,1,6,8]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,9,8]=>([(5,8),(6,7)],9) [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,9,6,8]=>([(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,9,8]=>([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,7,5,9,8]=>([(1,4),(2,3),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5,9,8]=>([(0,1),(2,8),(3,7),(4,6),(5,6),(7,8)],9) [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,7,5,9,8]=>([(3,4),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,9,1,2,3,4,5,8]=>([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,9,1,2,3,4,8]=>([(0,8),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,4,5,6,1,7,2,9,8]=>([(0,8),(1,2),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,9,1,2,8]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,9,8]=>([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,9,1,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,8,9,1,2,3,4,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,8,6,9,7]=>([(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,8,9,6,7]=>([(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,9,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,7,4,8,5,9,6]=>([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,9,6]=>([(0,6),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,6,2,7,3,8,4,9,5]=>([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,6,7,8,9,2,3,4,5]=>([(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9) [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,9,5]=>([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9) [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[5,6,1,7,8,9,2,3,4]=>([(0,4),(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,1,2,3,4]=>([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9) [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,1,8,2,9,3]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,1,2,3]=>([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,8,7,10,9]=>([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10) [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,8,7,10,9]=>([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10) [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7,10,9]=>([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10) [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,8,7,10,9]=>([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10) [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,8,7,10,9]=>([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10) [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,8,7,10,9]=>([(0,3),(1,2),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,10,7,9]=>([(6,9),(7,8),(8,9)],10) [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,10,9]=>([(0,1),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,8,6,10,9]=>([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10) [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,8,6,10,9]=>([(0,1),(2,9),(3,7),(4,6),(5,8),(6,7),(8,9)],10) [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,7,8,5,6,10,9]=>([(0,1),(2,8),(2,9),(3,5),(3,6),(4,5),(4,6),(7,8),(7,9)],10) [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,8,5,10,9]=>([(0,3),(1,2),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10) [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,8,4,10,9]=>([(0,1),(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10) [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4,10,9]=>([(0,1),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10) [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,4,5,6,7,1,8,2,10,9]=>([(0,9),(1,2),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,10,9]=>([(0,1),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,10,1,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,9,7,10,8]=>([(0,5),(1,4),(2,3),(6,9),(7,8),(8,9)],10) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,9,10,7,8]=>([(0,5),(1,4),(2,3),(6,8),(6,9),(7,8),(7,9)],10) [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,9,7,10,8]=>([(0,1),(2,9),(3,7),(4,6),(5,8),(6,7),(8,9)],10) [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,9,7,10,8]=>([(0,1),(2,9),(3,7),(4,6),(5,8),(6,7),(8,9)],10) [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,9,7,10,8]=>([(0,9),(1,8),(2,5),(3,4),(4,5),(6,7),(6,8),(7,9),(8,9)],10) [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,9,10,7,8]=>([(0,2),(0,3),(1,2),(1,3),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,9,10,7,8]=>([(6,8),(6,9),(7,8),(7,9)],10) [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,10,8]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10) [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,8,5,9,6,10,7]=>([(0,3),(1,2),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10) [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,8,5,9,6,10,7]=>([(0,9),(1,8),(2,5),(3,4),(4,5),(6,7),(6,8),(7,9),(8,9)],10) [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,8,9,10,5,6,7]=>([(0,2),(0,3),(1,2),(1,3),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,7,3,8,4,9,5,10,6]=>([(0,1),(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10) [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10) [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[6,1,7,2,8,3,9,4,10,5]=>([(0,9),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10) [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,1,7,8,9,10,2,3,4,5]=>([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,1,2,3,4]=>([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10) [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,1,2,3]=>([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10]=>([],10) [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,9,7]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,9,6,10,8]=>([(0,3),(1,2),(4,7),(5,6),(6,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,9,6,10,8]=>([(0,9),(1,8),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9)],10) [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,9,6,10,8]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]=>([(1,6),(2,5),(3,4),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8,9,10]=>([(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8,9,10]=>([(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8,9,10,11]=>([(8,10),(9,10)],11) [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7,8,9,10]=>([(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7,8,9,10]=>([(6,9),(7,8),(8,9)],10) [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8,9,10,11]=>([(8,10),(9,10)],11) [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,5,7,2,8,4,9,6]=>([(1,8),(2,7),(3,6),(3,7),(4,6),(4,8),(5,6),(5,7),(5,8)],9) [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8,10]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1,10]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,9,2,10]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,6,1,7,3,8,4,9,5]=>([(0,8),(1,4),(2,6),(2,8),(3,5),(3,7),(4,7),(5,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>([(8,9)],10) [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7,8,9,10]=>([(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7,8,9,10]=>([(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7,8,9,10]=>([(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8,9,10]=>([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,9,10]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>([(9,10)],11) [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,8,9,1,2,3,4,5,7]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,7,8,9,1,2,3,4,6]=>([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,6,7,8,9,1,2,3,5]=>([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,5,6,7,8,9,1,2,4]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,9,8]=>([(0,8),(1,7),(2,3),(4,5),(4,6),(5,7),(6,8)],9) [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6,9,8]=>([(0,3),(1,2),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,8,7,10,9]=>([(0,3),(1,2),(4,7),(5,6),(6,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,3,8,9,5,7]=>([(0,7),(1,3),(1,4),(2,5),(2,6),(3,7),(4,8),(5,8),(6,8)],9) [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,8,6,9,7]=>([(0,6),(1,5),(2,8),(3,7),(4,7),(4,8),(5,6)],9) [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,9,8,10]=>([(1,9),(2,8),(3,4),(5,6),(5,7),(6,8),(7,9)],10) [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6,9,8,10]=>([(1,4),(2,3),(5,8),(6,7),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6,9,8,10]=>([(1,6),(2,5),(3,4),(7,9),(8,9)],10) [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,10,5,6,7,8,9]=>([(0,3),(1,2),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,7,2,9,4,6,8,10]=>([(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9)],10) [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,7,8,9,1,6]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,7,8,9,2,3,4,5,6]=>([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[6,7,8,1,9,2,3,4,5]=>([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,5,6,7,8,1,9,2,3]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9,10]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,6,7,8,1,9,2,3,4]=>([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9,10]=>([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7,8,9,10]=>([(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[7,8,1,9,2,3,4,5,6]=>([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7,8,9,10]=>([(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7,8,9,10]=>([(6,9),(7,9),(8,9)],10) [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,5,6,1,7,8,9,2,3]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]=>[8,1,2,3,4,9,5,6,7]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,5,6,7,8,9,2,3,4]=>([(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6,9,8]=>([(0,3),(1,2),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,8,7,10,9]=>([(0,3),(1,2),(4,7),(5,6),(6,8),(7,9),(8,9)],10) [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,8,6,10,9]=>([(0,9),(1,8),(2,3),(4,5),(4,6),(5,7),(6,8),(7,9)],10) [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,9,6,8,10]=>([(1,9),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,9,10]=>([(2,9),(3,8),(4,7),(5,6)],10) [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7,8,9,10]=>([(6,8),(6,9),(7,8),(7,9)],10) [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,7,8,9,10]=>([(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4,9,10]=>([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10) [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[4,6,7,1,9,2,3,10,5,8]=>([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,6,1,8,9,2,10,4,5,7]=>([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[2,1,3,5,6,4,7,9,10,8]=>([(2,3),(4,9),(5,9),(6,8),(7,8)],10) [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,7,8,6,9,11,12,10]=>([(3,11),(4,11),(5,10),(6,10),(7,9),(8,9)],12) [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>([],11) [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,11,1,2,3,4,5,6,7,8,9]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,9,10,7]=>([(0,5),(1,4),(2,3),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[1,9,2,3,4,5,6,7,8,10]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,1,7,2,8,3,9,4,5]=>([(0,8),(1,6),(1,7),(2,5),(2,8),(3,4),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,11,1,2]=>([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) [1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,1,8,2,9,3,4,5,6]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,1,10,2,3,4,5,6,7,9]=>([(0,9),(1,8),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,1,8,2,9,4]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6,9,8,10]=>([(2,5),(3,4),(6,9),(7,8),(8,9)],10) [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,7,5,9,8]=>([(1,2),(3,6),(4,5),(5,7),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,8,7,10,9,11]=>([(1,6),(2,5),(3,4),(7,10),(8,9),(9,10)],11) [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,8,9,10]=>([(8,9)],10) [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,3,5,6,2,7,4,9,8]=>([(1,2),(3,8),(4,7),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,3,4,5,2,7,6,9,8]=>([(1,4),(2,3),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6,9,8,10]=>([(2,5),(3,4),(6,9),(7,8),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,7,2,4,6,9,8,10]=>([(2,3),(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10) [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,5,7,2,9,4,10,6,8]=>([(1,9),(2,5),(2,9),(3,4),(3,7),(4,8),(5,6),(5,7),(6,8),(6,9),(7,8)],10) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,7,4,6,9,8]=>([(1,2),(3,6),(4,5),(5,7),(6,8),(7,8)],9) [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,7,8,5,9,6]=>([(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[6,8,1,9,2,3,4,5,7]=>([(0,7),(0,8),(1,6),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,9,7]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,9,6,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,8,9,10]=>([(8,9)],10) [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,6,2,8,3,9,5,10,7]=>([(0,9),(1,8),(2,6),(2,8),(3,7),(3,9),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7)],10) [1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,7,8,9,1,2,5,6]=>([(0,7),(0,8),(1,7),(1,8),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,8,7,10,9]=>([(1,6),(2,5),(3,4),(7,9),(8,9)],10) [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5,8,7,10,9]=>([(1,6),(2,5),(3,4),(7,9),(8,9)],10) [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,8,6,10,9]=>([(0,3),(1,2),(4,7),(5,6),(6,8),(7,9),(8,9)],10) [1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,5,6,7,8,9,1,3,4]=>([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,6,2,8,3,9,5,7]=>([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9) [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>([(9,10)],11) [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,9,1,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,8,7,10,9,11]=>([(1,4),(2,3),(5,8),(6,7),(7,9),(8,10),(9,10)],11) [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,4,5,6,7,8,9,10,2,3]=>([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,10,1,7,8,9]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10) [1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,7,8,9,1,2,6]=>([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,8,9,6]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,4,6,7,8,9,1,3,5]=>([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6,9,8]=>([(2,3),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,4,5,7,3,6,9,8]=>([(2,3),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,9,7,8]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7)],9) [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,7,2,8,3,9,5,10,6]=>([(0,9),(1,7),(2,6),(2,9),(3,7),(3,8),(4,5),(4,6),(4,9),(5,7),(5,8),(6,8),(8,9)],10) [1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[7,1,8,9,2,3,4,5,6]=>([(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,9,5,7,8]=>([(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,2,3,5,9,4,6,7,8]=>([(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6,9,8]=>([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,3,4,5,6,7,2,9,8]=>([(1,2),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,6,7,8,9,10,2,3,4,5]=>([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10) [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,9,8,10]=>([(8,9)],10) [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,7,8,5,6,11,12,9,10]=>([(0,10),(0,11),(1,7),(1,8),(2,4),(2,5),(3,4),(3,5),(6,7),(6,8),(9,10),(9,11)],12) [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,4,5,6,7,8,9,10,11,1,3]=>([(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11) [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,5,6,7,8,9,10,1,4]=>([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,8,1,9,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,9,7,10]=>([(7,9),(8,9)],10) [1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7,8,9,10]=>([(8,9)],10) [1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7,8,9,10]=>([(8,9)],10) [1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7,8,9,10]=>([(8,9)],10) [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,8,9,5]=>([(0,6),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,11,9]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,8,9,1,7]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1,11,10]=>([(0,1),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,10,9]=>([(6,9),(7,8)],10) [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5,11]=>([(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10)],11) [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,5,1,6,7,9,4,8]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,6,7,8,9,2,4,5]=>([(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[7,8,1,9,2,10,3,4,5,6]=>([(0,8),(0,9),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10) [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,1,2,9,3,10,4,5,6]=>([(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10) [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,8,9,10,6]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10) [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,10,9,11]=>([(9,10)],11) [1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,6,7,8,9,2,3,4,5,10]=>([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10) [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12) [1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,8,1,2,9,3,4,6,7]=>([(0,7),(0,8),(1,7),(1,8),(2,6),(2,8),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,6,7,8,2,9,3,4,5]=>([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,11,1,10]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11) [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,8,5,9,6,7]=>([(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,4,9,10]=>([(5,9),(6,9),(7,9),(8,9)],10) [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[7,1,8,2,3,4,5,9,6]=>([(0,8),(1,6),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,8,9,10,11,2,3,4,5,6]=>([(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10)],11) [1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,6,7,8,9,1,3,4,5]=>([(0,8),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,6,7,8,9,2,3,4]=>([(0,5),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9) [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,8,6,10,9]=>([(0,1),(2,8),(3,6),(4,6),(4,9),(5,7),(5,9),(7,8),(8,9)],10) [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7,9,10]=>([(8,9)],10)
Map
Barnabei-Castronuovo involution
Description
The Barnabei-Castronuovo Sch├╝tzenberger involution on Dyck paths.
The image of a Dyck path is obtained by reversing the canonical decompositions of the two halves of the Dyck path. More precisely, let $D_1, 1, D_2, 1, \dots$ be the canonical decomposition of the first half, then the canonical decomposition of the first half of the image is $\dots, 1, D_2, 1, D_1$.
Map
to 321-avoiding permutation
Description
Sends a Dyck path to a 321-avoiding permutation.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.