************************************************************************ * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2013 The FindStatCrew * * * * This information is distributed in the hope that it will be * * useful, but WITHOUT ANY WARRANTY; without even the implied * * warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ************************************************************************ ------------------------------------------------------------------------ Map identifier: Mp00242 ------------------------------------------------------------------------ Map name: Hessenberg poset ------------------------------------------------------------------------ Domain: Dyck paths ------------------------------------------------------------------------ Codomain: Posets ------------------------------------------------------------------------ Description: The Hessenberg poset of a Dyck path. Let \$D\$ be a Dyck path of semilength \$n\$, regarded as a subdiagonal path from \$(0,0)\$ to \$(n,n)\$, and let \$\boldsymbol{m}_i\$ be the \$x\$-coordinate of the \$i\$-th up step. Then the Hessenberg poset (or natural unit interval order) corresponding to \$D\$ has elements \$\{1,\dots,n\}\$ with \$i < j\$ if \$j < \boldsymbol{m}_i\$. ------------------------------------------------------------------------ References: [1] Shareshian, J., Wachs, M. L. Chromatic quasisymmetric functions [[MathSciNet:3488041]] ------------------------------------------------------------------------ Code: def mapping(D): D = DyckWord(D) m = [a+i for i, a in enumerate(reversed(D.to_area_sequence()), 1)] return Poset([list(range(1, D.semilength()+1)), lambda i, j: j > m[i-1]]) ------------------------------------------------------------------------ Map images: [1,0] => ([],1) [1,0,1,0] => ([(0,1)],2) [1,1,0,0] => ([],2) [1,0,1,0,1,0] => ([(0,2),(2,1)],3) [1,0,1,1,0,0] => ([(0,2),(1,2)],3) [1,1,0,0,1,0] => ([(0,1),(0,2)],3) [1,1,0,1,0,0] => ([(1,2)],3) [1,1,1,0,0,0] => ([],3) [1,0,1,0,1,0,1,0] => ([(0,3),(2,1),(3,2)],4) [1,0,1,0,1,1,0,0] => ([(0,3),(1,3),(3,2)],4) [1,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(2,3)],4) [1,0,1,1,0,1,0,0] => ([(0,3),(1,2),(2,3)],4) [1,0,1,1,1,0,0,0] => ([(0,3),(1,3),(2,3)],4) [1,1,0,0,1,0,1,0] => ([(0,3),(3,1),(3,2)],4) [1,1,0,0,1,1,0,0] => ([(0,2),(0,3),(1,2),(1,3)],4) [1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(3,1)],4) [1,1,0,1,0,1,0,0] => ([(0,3),(1,2),(1,3)],4) [1,1,0,1,1,0,0,0] => ([(1,3),(2,3)],4) [1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3)],4) [1,1,1,0,0,1,0,0] => ([(1,2),(1,3)],4) [1,1,1,0,1,0,0,0] => ([(2,3)],4) [1,1,1,1,0,0,0,0] => ([],4) [1,0,1,0,1,0,1,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,0,1,0,1,0,1,1,0,0] => ([(0,4),(1,4),(2,3),(4,2)],5) [1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [1,0,1,0,1,1,0,1,0,0] => ([(0,4),(1,2),(2,4),(4,3)],5) [1,0,1,0,1,1,1,0,0,0] => ([(0,4),(1,4),(2,4),(4,3)],5) [1,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [1,0,1,1,0,0,1,1,0,0] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) [1,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) [1,0,1,1,0,1,0,1,0,0] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) [1,0,1,1,0,1,1,0,0,0] => ([(0,4),(1,3),(2,3),(3,4)],5) [1,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) [1,0,1,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) [1,0,1,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) [1,1,0,0,1,0,1,0,1,0] => ([(0,3),(3,4),(4,1),(4,2)],5) [1,1,0,0,1,0,1,1,0,0] => ([(0,4),(1,4),(4,2),(4,3)],5) [1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) [1,1,0,0,1,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) [1,1,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) [1,1,0,1,0,0,1,0,1,0] => ([(0,4),(3,2),(4,1),(4,3)],5) [1,1,0,1,0,0,1,1,0,0] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) [1,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) [1,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) [1,1,0,1,0,1,1,0,0,0] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) [1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) [1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(3,4)],5) [1,1,0,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(2,4)],5) [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) [1,1,1,0,0,0,1,0,1,0] => ([(0,4),(4,1),(4,2),(4,3)],5) [1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) [1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(4,1),(4,2)],5) [1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) [1,1,1,0,0,1,1,0,0,0] => ([(1,3),(1,4),(2,3),(2,4)],5) [1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(4,1)],5) [1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4)],5) [1,1,1,0,1,0,1,0,0,0] => ([(1,4),(2,3),(2,4)],5) [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) [1,1,1,1,1,0,0,0,0,0] => ([],5) [1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) [1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) [1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) [1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) [1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) [1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) [1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) [1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) [1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) [1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) [1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) [1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) [1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) [1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) [1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) [1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) [1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) [1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) [1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) [1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) [1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) [1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) [1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) [1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) [1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) [1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) [1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) [1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) [1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) [1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) [1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) [1,1,0,0,1,1,1,1,0,0,0,0] => ([(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] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) [1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) [1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) [1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) [1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) [1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) [1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) [1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) [1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) [1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) [1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) [1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) [1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) [1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) [1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) [1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) [1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) [1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) [1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) [1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) [1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) [1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,0,0,0,1,1,1,0,0,0] => ([(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] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) [1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) [1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) [1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) [1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) [1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,0,0,1,1,1,0,0,0,0] => ([(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] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) [1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) [1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) [1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) [1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) [1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) [1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7) [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7) [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7) [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(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] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => ([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7) [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(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] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => ([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7) [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7) [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(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] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7) [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7) [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7) [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7) [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(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] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(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] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => ([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7) [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7) [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7) [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7) [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(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] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7) [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7) [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7) [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7) [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7) [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7) [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7) [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7) [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7) [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(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] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(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] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8) [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,7),(6,7),(7,3)],8) [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8) [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,6)],8) [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8) [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,7),(3,7),(4,7),(5,1),(6,5),(7,6)],8) [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8) [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8) [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8) [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,6),(4,6),(5,2),(6,5),(7,3),(7,4)],8) [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7),(7,4)],8) [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(6,5),(7,5)],8) [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(5,3),(6,5),(7,5)],8) [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,5)],8) [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(5,4),(6,5),(7,3)],8) [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,5)],8) [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(6,3),(7,6)],8) [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,7),(7,5)],8) [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(3,7),(4,6),(5,2),(6,5),(7,6)],8) [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(6,4),(7,6)],8) [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(6,4),(7,6)],8) [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(7,5)],8) [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,7),(7,2)],8) [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(7,5)],8) [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,7),(6,7),(7,4)],8) [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7),(7,3)],8) [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8) [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,7),(7,5)],8) [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8) [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8) [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,7),(6,1),(7,6)],8) [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8) [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(4,7),(5,7),(6,3),(7,6)],8) [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8) [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8) [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,7),(4,7),(5,3),(5,4),(6,5),(7,2)],8) [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,2),(2,7),(3,6),(4,6),(6,5),(7,3),(7,4)],8) [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(6,5),(7,3),(7,4)],8) [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7),(7,1)],8) [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(3,2),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(5,7),(6,7),(7,1)],8) [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,4),(6,4),(7,5),(7,6)],8) [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(4,3),(5,4),(6,4),(7,5),(7,6)],8) [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(6,5),(7,5)],8) [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8) [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4),(6,5),(7,5)],8) [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8) [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4),(7,3)],8) [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,6),(5,3),(6,4),(7,2),(7,5)],8) [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(7,1)],8) [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,5),(0,7),(1,2),(2,5),(2,7),(3,6),(5,6),(6,4),(7,3)],8) [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(6,5),(7,3)],8) [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(3,4),(4,2),(5,4),(6,5),(7,3),(7,5)],8) [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7),(7,1)],8) [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(4,2),(5,4),(6,4),(7,5)],8) [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(5,6),(6,3),(7,6)],8) [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,1),(7,6)],8) [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,5),(0,7),(1,3),(1,4),(3,7),(4,5),(4,7),(5,6),(6,2),(7,6)],8) [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(5,4),(6,5),(7,5)],8) [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8) [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7),(7,1)],8) [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,2),(4,3),(5,4),(6,4),(7,3)],8) [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7),(7,1)],8) [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(5,4),(6,5),(7,4)],8) [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(4,3),(5,4),(6,5),(7,4)],8) [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(3,7),(4,7),(5,1),(5,7),(6,2),(7,6)],8) [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,5),(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,6),(6,2),(7,6)],8) [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,7),(1,5),(1,7),(2,4),(2,5),(4,7),(5,6),(6,3),(7,6)],8) [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4),(7,6)],8) [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(7,6)],8) [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(6,5),(7,6)],8) [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(3,7),(4,6),(6,5),(7,6)],8) [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(6,5),(7,6)],8) [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8) [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8) [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5),(7,2)],8) [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7),(7,1)],8) [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7),(7,2)],8) [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,4)],8) [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5),(7,4)],8) [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2),(6,3),(7,4)],8) [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7),(7,2)],8) [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7),(7,2)],8) [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8) [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,1)],8) [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,4),(2,7),(4,5),(4,6),(5,7),(6,7),(7,3)],8) [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8) [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8) [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8) [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2),(7,3)],8) [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,3)],8) [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,7),(5,7),(6,7),(7,2)],8) [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8) [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7),(7,2)],8) [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,7),(4,5),(5,7),(6,7),(7,3)],8) [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8) [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8) [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7),(7,1)],8) [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,5),(2,7),(3,7),(5,6),(6,7),(7,4)],8) [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8) [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8) [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8) [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8) [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8) [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(1,7),(2,7),(3,7),(5,7),(6,1),(6,2),(6,3),(7,4)],8) [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8) [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7),(7,3)],8) [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2),(7,3)],8) [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,7),(6,7),(7,4)],8) [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => ([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8) [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8) [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1),(7,2)],8) [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,7),(7,5)],8) [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,7),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,7),(7,5)],8) [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8) [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8) [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7),(7,1)],8) [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,7),(7,6)],8) [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8) [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(7,6)],8) [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8) [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8) [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,2),(5,3),(7,4)],8) [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,2),(2,7),(3,6),(4,6),(5,3),(5,4),(7,5)],8) [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(7,3)],8) [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(4,2),(4,3),(6,4),(7,4)],8) [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(4,5),(6,7),(7,3),(7,4)],8) [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(3,7),(4,7),(5,6),(6,3),(6,4)],8) [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],8) [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8) [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(5,6),(7,4),(7,5)],8) [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8) [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2),(5,3),(6,4),(7,4)],8) [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(6,3),(6,4),(7,3),(7,4)],8) [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(4,2),(5,3),(6,3),(7,5),(7,6)],8) [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,2),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,6),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(4,6),(5,6),(7,4),(7,5)],8) [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2),(4,3),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,2),(7,2)],8) [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(4,6),(4,7),(5,6),(5,7),(6,3),(7,3)],8) [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(3,4),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,1),(5,3),(6,2),(6,4)],8) [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,6),(4,3),(5,2),(5,4),(7,5)],8) [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,2),(2,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8) [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(4,6),(5,6),(7,3),(7,4)],8) [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(4,3),(5,6),(7,1)],8) [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(3,2),(5,4),(6,3),(6,5),(7,3),(7,5)],8) [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8) [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(2,5),(3,4),(3,6),(4,2),(6,5),(7,4),(7,6)],8) [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(4,3),(6,5),(7,4),(7,6)],8) [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,1)],8) [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8) [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(6,5),(7,4)],8) [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8) [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,5),(4,2),(4,5),(5,6),(7,3),(7,4)],8) [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,1),(7,5)],8) [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,6),(1,7),(2,4),(3,6),(3,7),(5,4),(6,5),(7,2),(7,5)],8) [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(6,4),(7,3),(7,4)],8) [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(4,3),(5,3),(6,2),(6,4),(7,4),(7,5)],8) [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(1,5),(2,6),(2,7),(3,5),(3,7),(5,6),(6,4),(7,4)],8) [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8) [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,5),(0,7),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4)],8) [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8) [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,6),(1,7),(2,5),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8) [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4),(6,5),(7,4)],8) [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(6,4),(7,5)],8) [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(4,3),(5,6),(7,6)],8) [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,4),(5,7),(6,4),(6,7),(7,2)],8) [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,1),(4,2),(5,6),(7,6)],8) [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,5),(2,7),(4,7),(5,3),(6,5),(6,7),(7,3)],8) [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(4,7),(5,3),(6,5),(6,7),(7,3)],8) [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(6,5),(7,5)],8) [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3),(6,7)],8) [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,5),(4,5),(5,6),(7,2),(7,3),(7,4)],8) [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8) [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8) [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,4),(6,3),(7,3)],8) [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4),(6,7)],8) [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(3,6),(5,2),(5,3),(6,4),(7,6)],8) [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(2,6),(2,7),(3,1),(3,6),(3,7),(5,4),(6,5),(7,4)],8) [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(4,3),(5,4),(6,3),(7,4)],8) [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(6,5),(7,4)],8) [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,4)],8) [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,5),(1,6),(2,7),(3,5),(3,6),(5,7),(6,4),(7,4)],8) [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4),(6,5),(7,4)],8) [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(6,5),(7,4)],8) [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(7,6)],8) [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,7),(6,2),(6,7),(7,3)],8) [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,1),(4,2),(4,5),(5,6),(7,6)],8) [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,6),(2,7),(4,7),(5,7),(6,3),(7,3)],8) [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,1),(4,5),(5,6),(7,6)],8) [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(1,5),(1,6),(2,7),(3,6),(3,7),(5,7),(6,4),(7,4)],8) [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8) [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,7),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,4),(7,6)],8) [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2),(7,2)],8) [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,7),(5,1),(5,2),(5,3),(7,6)],8) [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,3),(7,3)],8) [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(7,3)],8) [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,7),(5,1),(5,2),(7,6)],8) [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,7),(3,7),(5,7),(6,4),(7,4)],8) [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,7),(7,6)],8) [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7),(7,6)],8) [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(5,7),(7,6)],8) [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(6,5),(7,5)],8) [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8) [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8) [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8) [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(7,6)],8) [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8) [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8) [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,7),(5,6),(7,6)],8) [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8) [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(5,4),(6,5)],8) [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8) [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,2),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8) [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8) [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],8) [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8) [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8) [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8) [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8) [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8) [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8) [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8) [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(6,4),(6,5)],8) [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,1),(6,2)],8) [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => ([(0,5),(0,6),(1,4),(2,7),(3,7),(4,5),(4,6),(5,7),(6,2),(6,3)],8) [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8) [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,7),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(5,4),(6,2),(6,3),(6,4)],8) [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4)],8) [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8) [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,3),(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(5,4),(6,4),(7,4)],8) [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8) [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(5,3),(6,2),(6,3)],8) [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,3),(6,4)],8) [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8) [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,4),(1,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8) [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8) [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8) [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(6,5),(7,5)],8) [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8) [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8) [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,7),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5)],8) [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,1)],8) [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,2)],8) [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(5,3),(6,4),(7,4)],8) [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,4),(6,2),(6,3),(6,4)],8) [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8) [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,3),(0,5),(0,6),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,7),(5,4),(6,4),(7,4)],8) [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,3),(6,2),(6,3)],8) [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,3)],8) [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,5),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(2,7),(3,6),(4,5),(4,7),(5,6),(7,6)],8) [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8) [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2),(6,2)],8) [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(3,7),(4,7),(5,7),(6,3)],8) [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8) [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8) [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(7,6)],8) [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8) [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8) [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4),(6,5)],8) [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8) [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3),(6,4)],8) [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(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) [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5)],8) [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8) [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,1),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8) [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8) [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,6),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8) [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8) [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8) [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8) [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8) [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(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] => ([(0,6),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],8) [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(4,6),(5,4),(6,2),(6,3),(7,5)],8) [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,7),(4,7),(5,6),(6,1),(6,2),(7,5)],8) [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,4),(4,7),(5,6),(6,2),(6,3),(7,5)],8) [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(5,6),(6,3),(6,4),(7,5)],8) [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,6),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(7,5)],8) [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,4),(6,5),(7,5)],8) [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,5),(3,7),(4,7),(5,3),(6,1),(6,2),(7,6)],8) [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,4),(1,7),(4,6),(5,2),(5,3),(6,5),(7,6)],8) [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,6),(2,6),(3,4),(3,5),(6,7),(7,3)],8) [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,7),(4,7),(5,7),(6,1),(6,2),(7,6)],8) [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,4),(1,5),(4,7),(5,7),(6,2),(6,3),(7,6)],8) [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,5),(5,7),(6,3),(6,4),(7,6)],8) [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,4)],8) [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(5,6),(6,1),(6,2),(7,3),(7,4)],8) [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,6),(3,6),(6,4),(6,5),(7,2),(7,3)],8) [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,1),(7,2)],8) [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,5),(0,6),(1,4),(4,5),(4,6),(5,7),(6,7),(7,2),(7,3)],8) [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(5,3),(5,4),(6,5),(7,5)],8) [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(5,2),(6,1),(6,5),(7,3),(7,4)],8) [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,7),(5,7),(6,4),(7,2),(7,3)],8) [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,4),(0,5),(3,7),(4,6),(5,3),(5,6),(6,7),(7,1),(7,2)],8) [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,5),(0,6),(1,4),(1,6),(4,5),(5,7),(6,7),(7,2),(7,3)],8) [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,6)],8) [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(6,7),(7,1),(7,2)],8) [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,6),(1,4),(1,5),(4,7),(5,6),(6,7),(7,2),(7,3)],8) [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,6)],8) [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(6,4),(6,5),(7,6)],8) [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,6),(1,7),(2,7),(3,7),(6,1),(6,2),(6,3),(7,4),(7,5)],8) [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7),(7,2),(7,3)],8) [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,5),(0,6),(1,7),(2,7),(5,7),(6,1),(6,2),(7,3),(7,4)],8) [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(5,7),(6,7),(7,3),(7,4)],8) [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8) [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(1,7),(4,7),(5,7),(6,1),(7,2),(7,3)],8) [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(6,7),(7,4),(7,5)],8) [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,7),(1,6),(2,3),(2,6),(3,7),(6,7),(7,4),(7,5)],8) [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,6),(3,6),(6,7),(7,4),(7,5)],8) [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(3,7),(4,7),(5,7),(6,7),(7,1),(7,2)],8) [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,7),(7,5),(7,6)],8) [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8) [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(7,5),(7,6)],8) [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(7,5),(7,6)],8) [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,3),(5,1),(5,2)],8) [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(7,4)],8) [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(7,1),(7,2)],8) [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(7,3),(7,4)],8) [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(7,3),(7,4)],8) [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,1),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,1),(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8) [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8) [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,2),(4,5),(5,1),(5,3)],8) [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,3),(7,2),(7,4)],8) [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(6,1),(7,4),(7,5)],8) [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(3,4),(3,7),(4,2),(7,5),(7,6)],8) [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,3)],8) [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,6),(2,7),(3,2),(3,5),(4,1),(4,3),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8) [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,7),(2,1),(2,6),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8) [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8) [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8) [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,6),(1,7),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,6),(3,7),(4,1),(4,2),(4,3),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8) [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,6),(2,7),(3,5),(4,1),(4,2),(5,6),(5,7)],8) [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,7),(1,2),(1,5),(1,7),(2,6),(5,6),(6,3),(6,4),(7,3),(7,4)],8) [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8) [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(3,7),(4,1),(4,7),(7,5),(7,6)],8) [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,7),(1,4),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8) [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,7),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8) [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8) [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,2),(1,3),(1,4),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8) [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,7),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8) [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5),(7,6)],8) [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,5),(7,6)],8) [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8) [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4)],8) [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(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) [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(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) [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(5,3),(5,4),(6,3),(6,4),(7,3),(7,4)],8) [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4)],8) [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8) [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(6,4),(6,5),(7,4),(7,5)],8) [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,3),(5,1),(5,2),(5,4)],8) [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8) [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(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] => ([(0,5),(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) [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,1),(4,5),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(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] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(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] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4)],8) [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2),(5,3)],8) [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => ([(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) [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1),(5,2)],8) [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => ([(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) [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(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] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8) [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(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] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(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] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(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) [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(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) [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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] => ([(0,6),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],8) [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(4,3),(5,6),(6,2),(6,4),(7,5)],8) [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,7),(4,7),(5,2),(6,1),(6,5),(7,6)],8) [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8) [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(5,4),(6,3),(6,5),(7,6)],8) [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(5,1),(6,2),(6,3),(7,4),(7,5)],8) [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,7),(6,7),(7,2),(7,4)],8) [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,3),(7,5)],8) [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,4),(1,6),(4,7),(5,3),(6,7),(7,2),(7,5)],8) [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,6),(2,6),(4,5),(6,7),(7,3),(7,4)],8) [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,7),(4,7),(5,7),(6,1),(7,2),(7,6)],8) [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(3,7),(4,7),(6,2),(7,5),(7,6)],8) [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8) [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(5,6),(7,4),(7,5)],8) ----------------------------------------------------------------------------- Created: Jan 11, 2022 at 19:47 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jan 11, 2022 at 19:47 by Martin Rubey