************************************************************************ * 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: Mp00232 ------------------------------------------------------------------------ Map name: parallelogram poset ------------------------------------------------------------------------ Domain: Dyck paths ------------------------------------------------------------------------ Codomain: Posets ------------------------------------------------------------------------ Description: The cell poset of the parallelogram polyomino corresponding to the Dyck path. Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices. This map returns the cell poset of $\gamma(D)$. In this partial order, the cells of the polyomino are the elements and a cell covers those cells with which it shares an edge and which are closer to the origin. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(D): p = ParallelogramPolyomino.from_dyck_word(D) m = matrix(p.get_array()) cells = [] covers = [] for i in range(m.nrows()): for j in range(m.ncols()): if m[(i,j)]: cells.append((i, j)) if i > 0 and m[(i-1, j)]: covers.append([(i-1,j), (i,j)]) if j > 0 and m[(i, j-1)]: covers.append([(i,j-1), (i,j)]) P = Poset([cells, covers]) if P.cardinality() > 30: raise ValueError("Resulting poset is too large") return P ------------------------------------------------------------------------ Map images: [1,0] => ([],1) [1,0,1,0] => ([(0,1)],2) [1,1,0,0] => ([(0,1)],2) [1,0,1,0,1,0] => ([(0,2),(2,1)],3) [1,0,1,1,0,0] => ([(0,2),(2,1)],3) [1,1,0,0,1,0] => ([(0,2),(2,1)],3) [1,1,0,1,0,0] => ([(0,2),(2,1)],3) [1,1,1,0,0,0] => ([(0,1),(0,2),(1,3),(2,3)],4) [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),(2,1),(3,2)],4) [1,0,1,1,0,0,1,0] => ([(0,3),(2,1),(3,2)],4) [1,0,1,1,0,1,0,0] => ([(0,3),(2,1),(3,2)],4) [1,0,1,1,1,0,0,0] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [1,1,0,0,1,0,1,0] => ([(0,3),(2,1),(3,2)],4) [1,1,0,0,1,1,0,0] => ([(0,3),(2,1),(3,2)],4) [1,1,0,1,0,0,1,0] => ([(0,3),(2,1),(3,2)],4) [1,1,0,1,0,1,0,0] => ([(0,3),(2,1),(3,2)],4) [1,1,0,1,1,0,0,0] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) [1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [1,1,1,0,0,1,0,0] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) [1,1,1,0,1,0,0,0] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [1,1,1,1,0,0,0,0] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [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),(2,3),(3,1),(4,2)],5) [1,0,1,0,1,1,0,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,0,1,0,1,1,0,1,0,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,0,1,0,1,1,1,0,0,0] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) [1,0,1,1,0,0,1,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,0,1,1,0,0,1,1,0,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,0,1,1,0,1,0,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,0,1,1,0,1,0,1,0,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,0,1,1,0,1,1,0,0,0] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) [1,0,1,1,1,0,0,0,1,0] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [1,0,1,1,1,0,0,1,0,0] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [1,0,1,1,1,0,1,0,0,0] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) [1,1,0,0,1,0,1,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,1,0,0,1,0,1,1,0,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,1,0,0,1,1,0,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,1,0,0,1,1,0,1,0,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,1,0,0,1,1,1,0,0,0] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) [1,1,0,1,0,0,1,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,1,0,1,0,0,1,1,0,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,1,0,1,0,1,0,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,1,0,1,0,1,0,1,0,0] => ([(0,4),(2,3),(3,1),(4,2)],5) [1,1,0,1,0,1,1,0,0,0] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) [1,1,0,1,1,0,0,0,1,0] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) [1,1,0,1,1,0,1,0,0,0] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) [1,1,0,1,1,1,0,0,0,0] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) [1,1,1,0,0,0,1,0,1,0] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) [1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) [1,1,1,0,0,1,0,0,1,0] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) [1,1,1,0,0,1,0,1,0,0] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) [1,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) [1,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) [1,1,1,0,1,0,0,1,0,0] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) [1,1,1,0,1,0,1,0,0,0] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [1,1,1,0,1,1,0,0,0,0] => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) [1,1,1,1,0,0,0,0,1,0] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) [1,1,1,1,0,0,0,1,0,0] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) [1,1,1,1,0,0,1,0,0,0] => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) [1,1,1,1,0,1,0,0,0,0] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [1,1,1,1,1,0,0,0,0,0] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [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),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) [1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) [1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) [1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) [1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) [1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) [1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) [1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) [1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) [1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) [1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) [1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) [1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) [1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) [1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) [1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) [1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) [1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) [1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) [1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) [1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) [1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) [1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) [1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) [1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) [1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) [1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) [1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) [1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) [1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) [1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) [1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) [1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) [1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) [1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) [1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) [1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) [1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) [1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) [1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) [1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) [1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) [1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) [1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) [1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) [1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) [1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) [1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) [1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) [1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) [1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) [1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) [1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) [1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) [1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) [1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) [1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) [1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) [1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10) [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10) [1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) [1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11) [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) [1,1,1,1,0,0,0,1,1,0,0,0] => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) [1,1,1,1,0,0,1,0,1,0,0,0] => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) [1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10) [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) [1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10) [1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11) [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) [1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) [1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,4),(0,5),(1,10),(2,7),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(6,10),(8,9),(9,7),(10,2),(10,9)],11) [1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,4),(0,5),(1,10),(2,7),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(6,10),(8,9),(9,7),(10,2),(10,9)],11) [1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [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),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9) [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10) [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10) [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,9),(2,8),(3,2),(3,7),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8),(7,9),(8,10),(9,10)],11) [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9) [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10) [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10) [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,9),(2,8),(3,2),(3,7),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8),(7,9),(8,10),(9,10)],11) [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9) [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9) [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,8),(9,4),(9,5)],10) [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,8),(9,4),(9,5)],10) [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,6),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,4),(6,5),(8,9),(9,2),(9,3)],10) [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,6),(2,9),(3,7),(4,2),(4,8),(5,4),(5,7),(6,3),(6,5),(7,8),(8,9),(9,1)],10) [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,6),(2,9),(3,7),(4,2),(4,8),(5,4),(5,7),(6,3),(6,5),(7,8),(8,9),(9,1)],10) [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,7),(3,8),(4,3),(4,10),(5,4),(5,7),(6,2),(6,5),(7,10),(8,9),(10,1),(10,8)],11) [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,10),(4,7),(5,3),(5,9),(6,2),(6,5),(7,8),(9,4),(9,10),(10,1),(10,7)],11) [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,4),(6,5),(8,9),(9,2),(9,3)],10) [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,10),(4,7),(5,3),(5,9),(6,2),(6,5),(7,8),(9,4),(9,10),(10,1),(10,7)],11) [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,6),(2,9),(3,7),(4,2),(4,8),(5,4),(5,7),(6,3),(6,5),(7,8),(8,9),(9,1)],10) [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,6),(2,9),(3,7),(4,2),(4,8),(5,4),(5,7),(6,3),(6,5),(7,8),(8,9),(9,1)],10) [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,7),(3,8),(4,3),(4,10),(5,4),(5,7),(6,2),(6,5),(7,10),(8,9),(10,1),(10,8)],11) [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,6),(2,9),(3,8),(4,3),(4,7),(5,2),(5,7),(6,4),(6,5),(7,8),(7,9),(8,10),(9,10),(10,1)],11) [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(2,9),(3,8),(4,3),(4,7),(5,2),(5,7),(6,4),(6,5),(7,8),(7,9),(8,10),(9,10),(10,1)],11) [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,11),(2,8),(3,9),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5),(7,9),(7,11),(9,10),(10,8),(11,2),(11,10)],12) [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,11),(2,8),(3,9),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5),(7,9),(7,11),(9,10),(10,8),(11,2),(11,10)],12) [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9) [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10) [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10) [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,9),(2,8),(3,2),(3,7),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8),(7,9),(8,10),(9,10)],11) [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9) [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10) [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,7),(2,8),(3,4),(3,7),(4,2),(4,9),(5,6),(6,1),(6,3),(7,9),(9,8)],10) [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,9),(2,8),(3,2),(3,7),(4,1),(4,7),(5,6),(6,3),(6,4),(7,8),(7,9),(8,10),(9,10)],11) [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9) [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9) [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,8),(9,4),(9,5)],10) [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,8),(9,4),(9,5)],10) [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,6),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,4),(6,5),(8,9),(9,2),(9,3)],10) [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => ([(0,6),(2,9),(3,7),(4,2),(4,8),(5,4),(5,7),(6,3),(6,5),(7,8),(8,9),(9,1)],10) [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => ([(0,6),(2,9),(3,7),(4,2),(4,8),(5,4),(5,7),(6,3),(6,5),(7,8),(8,9),(9,1)],10) [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,7),(3,8),(4,3),(4,10),(5,4),(5,7),(6,2),(6,5),(7,10),(8,9),(10,1),(10,8)],11) [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,10),(4,7),(5,3),(5,9),(6,2),(6,5),(7,8),(9,4),(9,10),(10,1),(10,7)],11) [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,4),(6,5),(8,9),(9,2),(9,3)],10) [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,10),(4,7),(5,3),(5,9),(6,2),(6,5),(7,8),(9,4),(9,10),(10,1),(10,7)],11) [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,6),(2,9),(3,7),(4,2),(4,8),(5,4),(5,7),(6,3),(6,5),(7,8),(8,9),(9,1)],10) [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,6),(2,9),(3,7),(4,2),(4,8),(5,4),(5,7),(6,3),(6,5),(7,8),(8,9),(9,1)],10) [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,7),(3,8),(4,3),(4,10),(5,4),(5,7),(6,2),(6,5),(7,10),(8,9),(10,1),(10,8)],11) [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,5),(4,10),(5,2),(5,9),(6,1),(6,3),(7,10),(9,8),(10,9)],11) [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,11),(2,8),(3,9),(4,5),(4,11),(5,3),(5,7),(6,1),(6,4),(7,8),(7,9),(8,10),(9,10),(11,2),(11,7)],12) [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,6),(2,9),(3,8),(4,3),(4,7),(5,2),(5,7),(6,4),(6,5),(7,8),(7,9),(8,10),(9,10),(10,1)],11) [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(2,9),(3,8),(4,3),(4,7),(5,2),(5,7),(6,4),(6,5),(7,8),(7,9),(8,10),(9,10),(10,1)],11) [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,11),(2,8),(3,9),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5),(7,9),(7,11),(9,10),(10,8),(11,2),(11,10)],12) [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,11),(2,8),(3,9),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5),(7,9),(7,11),(9,10),(10,8),(11,2),(11,10)],12) [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9) [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9) [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9) [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => ([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9) [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,3),(0,4),(1,9),(2,8),(3,7),(4,7),(5,1),(5,8),(6,2),(6,5),(7,6),(8,9)],10) [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,3),(0,4),(1,9),(2,8),(3,7),(4,7),(5,1),(5,8),(6,2),(6,5),(7,6),(8,9)],10) [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9) [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9) [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9) [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9) [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,3),(0,4),(1,9),(2,8),(3,7),(4,7),(5,1),(5,8),(6,2),(6,5),(7,6),(8,9)],10) [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,3),(0,4),(1,9),(2,8),(3,7),(4,7),(5,1),(5,8),(6,2),(6,5),(7,6),(8,9)],10) [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9) [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => ([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9) [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9) [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9) [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(8,1),(8,2),(9,3),(9,4)],10) [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,4),(0,5),(1,8),(3,7),(4,9),(5,9),(6,1),(6,7),(7,8),(8,2),(9,3),(9,6)],10) [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,8),(3,7),(4,9),(5,9),(6,1),(6,7),(7,8),(8,2),(9,3),(9,6)],10) [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,3),(0,4),(1,7),(2,8),(3,10),(4,10),(5,6),(5,7),(6,2),(6,9),(7,9),(9,8),(10,1),(10,5)],11) [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,4),(0,5),(1,8),(2,10),(3,7),(4,9),(5,9),(6,3),(6,10),(7,8),(9,2),(9,6),(10,1),(10,7)],11) [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,4),(0,5),(1,8),(3,7),(4,9),(5,9),(6,1),(6,7),(7,8),(8,2),(9,3),(9,6)],10) [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,4),(0,5),(1,8),(3,7),(4,9),(5,9),(6,1),(6,7),(7,8),(8,2),(9,3),(9,6)],10) [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,4),(0,5),(1,8),(2,10),(3,7),(4,9),(5,9),(6,3),(6,10),(7,8),(9,2),(9,6),(10,1),(10,7)],11) [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,3),(0,4),(1,7),(2,8),(3,10),(4,10),(5,6),(5,7),(6,2),(6,9),(7,9),(9,8),(10,1),(10,5)],11) [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(0,3),(0,4),(1,10),(2,9),(3,7),(4,7),(5,2),(5,8),(6,1),(6,8),(7,5),(7,6),(8,9),(8,10),(9,11),(10,11)],12) [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,2),(6,3),(8,9),(9,6)],10) [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,2),(6,3),(8,9),(9,6)],10) [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,5),(0,6),(1,8),(2,8),(4,9),(5,7),(6,4),(6,7),(7,9),(8,3),(9,1),(9,2)],10) [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,5),(0,6),(1,8),(2,8),(4,9),(5,7),(6,4),(6,7),(7,9),(8,3),(9,1),(9,2)],10) [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,6),(1,10),(2,9),(3,8),(4,7),(5,2),(5,8),(6,1),(6,7),(7,10),(8,9),(10,3),(10,5)],11) [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,4),(0,6),(1,10),(2,9),(3,8),(4,7),(5,2),(5,8),(6,1),(6,7),(7,10),(8,9),(10,3),(10,5)],11) [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => ([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10) [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10) [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10) [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10) [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,4),(0,6),(1,10),(2,7),(3,7),(4,8),(5,1),(5,9),(6,5),(6,8),(8,9),(9,10),(10,2),(10,3)],11) [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,3),(0,6),(2,10),(3,7),(4,5),(4,9),(5,2),(5,8),(6,4),(6,7),(7,9),(8,10),(9,8),(10,1)],11) [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,3),(0,6),(2,10),(3,7),(4,5),(4,9),(5,2),(5,8),(6,4),(6,7),(7,9),(8,10),(9,8),(10,1)],11) [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,3),(0,6),(1,9),(2,8),(3,7),(4,5),(4,10),(5,2),(5,11),(6,4),(6,7),(7,10),(8,9),(10,11),(11,1),(11,8)],12) [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,4),(0,6),(1,9),(3,8),(4,7),(5,3),(5,10),(6,5),(6,7),(7,10),(8,9),(9,2),(10,1),(10,8)],11) [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,4),(0,6),(1,9),(3,8),(4,7),(5,3),(5,10),(6,5),(6,7),(7,10),(8,9),(9,2),(10,1),(10,8)],11) [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,4),(0,6),(1,9),(2,10),(3,8),(4,7),(5,2),(5,11),(6,5),(6,7),(7,11),(8,9),(10,1),(10,8),(11,3),(11,10)],12) [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,3),(0,6),(1,8),(2,9),(3,7),(4,2),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,5),(11,9)],12) [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(0,3),(0,6),(1,9),(2,10),(3,7),(4,5),(4,12),(5,1),(5,8),(6,4),(6,7),(7,12),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13) [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10) [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10) [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10) [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10) [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,10),(2,7),(3,7),(4,8),(5,9),(6,4),(6,9),(8,10),(9,1),(9,8),(10,2),(10,3)],11) [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,5),(0,6),(1,10),(3,7),(4,8),(5,9),(6,1),(6,9),(7,8),(8,2),(9,3),(9,10),(10,4),(10,7)],11) [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,5),(0,6),(1,10),(3,7),(4,8),(5,9),(6,1),(6,9),(7,8),(8,2),(9,3),(9,10),(10,4),(10,7)],11) [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,4),(0,6),(1,7),(2,9),(3,8),(4,11),(5,3),(5,10),(6,1),(6,11),(7,5),(7,9),(9,10),(10,8),(11,2),(11,7)],12) [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,11),(2,8),(3,7),(4,10),(5,9),(6,1),(6,9),(8,7),(9,4),(9,11),(10,3),(10,8),(11,2),(11,10)],12) [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,4),(0,6),(2,10),(3,9),(4,7),(5,2),(5,8),(6,3),(6,7),(7,5),(7,9),(8,10),(9,8),(10,1)],11) [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,4),(0,6),(2,10),(3,9),(4,7),(5,2),(5,8),(6,3),(6,7),(7,5),(7,9),(8,10),(9,8),(10,1)],11) [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,4),(0,6),(1,10),(2,9),(3,7),(4,8),(5,3),(5,11),(6,1),(6,8),(7,9),(8,5),(8,10),(10,11),(11,2),(11,7)],12) [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,3),(0,6),(1,9),(2,8),(3,7),(4,2),(4,11),(5,4),(5,10),(6,1),(6,7),(7,5),(7,9),(9,10),(10,11),(11,8)],12) [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(0,4),(0,6),(1,12),(2,9),(3,10),(4,7),(5,3),(5,8),(6,1),(6,7),(7,5),(7,12),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13) [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,4),(0,6),(2,8),(3,9),(4,10),(5,3),(5,7),(6,5),(6,10),(7,8),(7,9),(8,11),(9,11),(10,2),(10,7),(11,1)],12) [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,4),(0,6),(2,8),(3,9),(4,10),(5,3),(5,7),(6,5),(6,10),(7,8),(7,9),(8,11),(9,11),(10,2),(10,7),(11,1)],12) [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,4),(0,6),(1,12),(2,8),(3,10),(4,11),(5,1),(5,7),(6,5),(6,11),(7,10),(7,12),(9,8),(10,9),(11,3),(11,7),(12,2),(12,9)],13) [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,4),(0,6),(1,12),(2,8),(3,10),(4,11),(5,3),(5,7),(6,5),(6,11),(7,10),(7,12),(9,8),(10,9),(11,1),(11,7),(12,2),(12,9)],13) [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,13),(2,11),(3,9),(4,3),(4,12),(5,10),(6,1),(6,10),(8,7),(9,7),(10,2),(10,13),(11,8),(12,8),(12,9),(13,11),(13,12)],14) [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(0,5),(0,6),(1,3),(1,13),(2,4),(2,12),(3,10),(4,8),(5,11),(6,2),(6,11),(8,9),(9,7),(10,7),(11,1),(11,12),(12,8),(12,13),(13,9),(13,10)],14) [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,2),(6,3),(8,9),(9,6)],10) [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,9),(2,7),(3,7),(4,8),(5,1),(5,8),(6,2),(6,3),(8,9),(9,6)],10) [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,5),(0,6),(1,8),(2,8),(4,9),(5,7),(6,4),(6,7),(7,9),(8,3),(9,1),(9,2)],10) [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,5),(0,6),(1,8),(2,8),(4,9),(5,7),(6,4),(6,7),(7,9),(8,3),(9,1),(9,2)],10) [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,6),(1,10),(2,9),(3,8),(4,7),(5,2),(5,8),(6,1),(6,7),(7,10),(8,9),(10,3),(10,5)],11) [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(0,4),(0,6),(1,10),(2,9),(3,8),(4,7),(5,2),(5,8),(6,1),(6,7),(7,10),(8,9),(10,3),(10,5)],11) [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10) [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => ([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10) [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10) [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10) [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,10),(2,7),(3,7),(4,8),(5,9),(6,4),(6,9),(8,10),(9,1),(9,8),(10,2),(10,3)],11) [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,4),(0,6),(2,10),(3,9),(4,7),(5,2),(5,8),(6,3),(6,7),(7,5),(7,9),(8,10),(9,8),(10,1)],11) [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,6),(2,10),(3,9),(4,7),(5,2),(5,8),(6,3),(6,7),(7,5),(7,9),(8,10),(9,8),(10,1)],11) [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,3),(0,6),(1,9),(2,8),(3,7),(4,2),(4,11),(5,4),(5,10),(6,1),(6,7),(7,5),(7,9),(9,10),(10,11),(11,8)],12) [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(0,4),(0,6),(1,10),(2,9),(3,7),(4,8),(5,3),(5,11),(6,1),(6,8),(7,9),(8,5),(8,10),(10,11),(11,2),(11,7)],12) [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,5),(0,6),(1,10),(3,7),(4,8),(5,9),(6,1),(6,9),(7,8),(8,2),(9,3),(9,10),(10,4),(10,7)],11) [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,10),(3,7),(4,8),(5,9),(6,1),(6,9),(7,8),(8,2),(9,3),(9,10),(10,4),(10,7)],11) [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,11),(2,8),(3,7),(4,10),(5,9),(6,1),(6,9),(8,7),(9,4),(9,11),(10,3),(10,8),(11,2),(11,10)],12) [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(0,4),(0,6),(1,7),(2,9),(3,8),(4,11),(5,3),(5,10),(6,1),(6,11),(7,5),(7,9),(9,10),(10,8),(11,2),(11,7)],12) [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(0,4),(0,6),(1,12),(2,9),(3,10),(4,7),(5,3),(5,8),(6,1),(6,7),(7,5),(7,12),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13) [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10) [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => ([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10) [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10) [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,6),(2,8),(3,7),(4,2),(4,9),(5,1),(6,4),(6,7),(7,9),(8,5),(9,8)],10) [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,4),(0,6),(1,10),(2,7),(3,7),(4,8),(5,1),(5,9),(6,5),(6,8),(8,9),(9,10),(10,2),(10,3)],11) [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,4),(0,6),(1,9),(3,8),(4,7),(5,3),(5,10),(6,5),(6,7),(7,10),(8,9),(9,2),(10,1),(10,8)],11) [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,6),(1,9),(3,8),(4,7),(5,3),(5,10),(6,5),(6,7),(7,10),(8,9),(9,2),(10,1),(10,8)],11) [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,3),(0,6),(1,8),(2,9),(3,7),(4,2),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,5),(11,9)],12) [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(0,4),(0,6),(1,9),(2,10),(3,8),(4,7),(5,2),(5,11),(6,5),(6,7),(7,11),(8,9),(10,1),(10,8),(11,3),(11,10)],12) [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,3),(0,6),(2,10),(3,7),(4,5),(4,9),(5,2),(5,8),(6,4),(6,7),(7,9),(8,10),(9,8),(10,1)],11) [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,3),(0,6),(2,10),(3,7),(4,5),(4,9),(5,2),(5,8),(6,4),(6,7),(7,9),(8,10),(9,8),(10,1)],11) [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,3),(0,6),(1,9),(2,8),(3,7),(4,5),(4,10),(5,2),(5,11),(6,4),(6,7),(7,10),(8,9),(10,11),(11,1),(11,8)],12) [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(0,3),(0,6),(1,9),(2,10),(3,7),(4,5),(4,12),(5,1),(5,8),(6,4),(6,7),(7,12),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13) [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,4),(0,6),(2,8),(3,9),(4,10),(5,3),(5,7),(6,5),(6,10),(7,8),(7,9),(8,11),(9,11),(10,2),(10,7),(11,1)],12) [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,4),(0,6),(2,8),(3,9),(4,10),(5,3),(5,7),(6,5),(6,10),(7,8),(7,9),(8,11),(9,11),(10,2),(10,7),(11,1)],12) [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,4),(0,6),(1,12),(2,8),(3,10),(4,11),(5,3),(5,7),(6,5),(6,11),(7,10),(7,12),(9,8),(10,9),(11,1),(11,7),(12,2),(12,9)],13) [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(0,4),(0,6),(1,12),(2,8),(3,10),(4,11),(5,1),(5,7),(6,5),(6,11),(7,10),(7,12),(9,8),(10,9),(11,3),(11,7),(12,2),(12,9)],13) [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(0,5),(0,6),(1,3),(1,13),(2,4),(2,12),(3,10),(4,8),(5,11),(6,2),(6,11),(8,9),(9,7),(10,7),(11,1),(11,12),(12,8),(12,13),(13,9),(13,10)],14) [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,13),(2,11),(3,9),(4,3),(4,12),(5,10),(6,1),(6,10),(8,7),(9,7),(10,2),(10,13),(11,8),(12,8),(12,9),(13,11),(13,12)],14) [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,5),(0,6),(2,9),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8),(7,9),(8,10),(9,10),(10,4)],11) [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,5),(0,6),(2,9),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8),(7,9),(8,10),(9,10),(10,4)],11) [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(2,9),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8),(7,9),(8,10),(9,10),(10,4)],11) [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,5),(0,6),(2,9),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8),(7,9),(8,10),(9,10),(10,4)],11) [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,2),(5,8),(6,1),(6,8),(8,9),(8,10),(9,11),(10,11),(11,3),(11,4)],12) [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,5),(0,6),(2,11),(3,10),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(8,11),(9,8),(10,2),(10,8),(11,1)],12) [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,5),(0,6),(2,11),(3,10),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(8,11),(9,8),(10,2),(10,8),(11,1)],12) [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,8),(2,9),(3,10),(4,1),(4,11),(5,2),(5,7),(6,3),(6,7),(7,9),(7,10),(9,12),(10,4),(10,12),(11,8),(12,11)],13) [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,9),(2,10),(3,12),(4,7),(5,2),(5,8),(6,3),(6,8),(7,9),(8,10),(8,12),(10,11),(11,1),(11,7),(12,4),(12,11)],13) [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,5),(0,6),(2,11),(3,10),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(8,11),(9,8),(10,2),(10,8),(11,1)],12) [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(2,11),(3,10),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(8,11),(9,8),(10,2),(10,8),(11,1)],12) [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,9),(2,10),(3,12),(4,7),(5,2),(5,8),(6,3),(6,8),(7,9),(8,10),(8,12),(10,11),(11,1),(11,7),(12,4),(12,11)],13) [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,8),(2,9),(3,10),(4,1),(4,11),(5,2),(5,7),(6,3),(6,7),(7,9),(7,10),(9,12),(10,4),(10,12),(11,8),(12,11)],13) [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,9),(2,8),(3,10),(4,11),(5,3),(5,13),(6,4),(6,13),(8,7),(9,7),(10,2),(10,12),(11,1),(11,12),(12,8),(12,9),(13,10),(13,11)],14) [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,5),(0,6),(2,9),(3,8),(4,2),(4,10),(5,3),(5,7),(6,4),(6,7),(7,8),(7,10),(8,11),(9,12),(10,9),(10,11),(11,12),(12,1)],13) [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,5),(0,6),(2,9),(3,8),(4,2),(4,10),(5,3),(5,7),(6,4),(6,7),(7,8),(7,10),(8,11),(9,12),(10,9),(10,11),(11,12),(12,1)],13) [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(0,5),(0,6),(1,11),(2,4),(2,13),(3,7),(4,10),(5,1),(5,12),(6,2),(6,12),(8,9),(9,7),(10,3),(10,9),(11,8),(12,11),(12,13),(13,8),(13,10)],14) [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(0,5),(0,6),(1,11),(2,4),(2,13),(3,7),(4,8),(5,1),(5,12),(6,2),(6,12),(8,9),(9,7),(10,3),(10,9),(11,10),(12,11),(12,13),(13,8),(13,10)],14) [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,5),(0,6),(1,10),(2,11),(3,4),(3,14),(4,8),(5,2),(5,13),(6,3),(6,13),(8,9),(9,7),(10,7),(11,1),(11,12),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,5),(0,6),(2,9),(3,8),(4,2),(4,10),(5,3),(5,7),(6,4),(6,7),(7,8),(7,10),(8,11),(9,12),(10,9),(10,11),(11,12),(12,1)],13) [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(0,5),(0,6),(2,9),(3,8),(4,2),(4,10),(5,3),(5,7),(6,4),(6,7),(7,8),(7,10),(8,11),(9,12),(10,9),(10,11),(11,12),(12,1)],13) [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(0,5),(0,6),(1,11),(2,4),(2,13),(3,7),(4,8),(5,1),(5,12),(6,2),(6,12),(8,9),(9,7),(10,3),(10,9),(11,10),(12,11),(12,13),(13,8),(13,10)],14) [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,5),(0,6),(1,11),(2,4),(2,13),(3,7),(4,10),(5,1),(5,12),(6,2),(6,12),(8,9),(9,7),(10,3),(10,9),(11,8),(12,11),(12,13),(13,8),(13,10)],14) [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,5),(0,6),(1,10),(2,11),(3,4),(3,14),(4,8),(5,2),(5,13),(6,3),(6,13),(8,9),(9,7),(10,7),(11,1),(11,12),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [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),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(9,3),(9,4)],10) [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,7),(4,2),(4,8),(5,1),(5,8),(6,3),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11)],12) [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(9,3),(9,4)],10) [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,7),(4,2),(4,8),(5,1),(5,8),(6,3),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11)],12) [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(1,8),(2,8),(3,9),(4,9),(5,6),(6,3),(6,4),(7,1),(7,2),(9,7)],10) [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(1,8),(2,8),(3,9),(4,9),(5,6),(6,3),(6,4),(7,1),(7,2),(9,7)],10) [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(6,7),(7,1),(7,2),(8,5),(9,3),(9,4)],10) [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(6,7),(7,1),(7,2),(8,5),(9,3),(9,4)],10) [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,6),(1,10),(2,10),(3,9),(4,8),(5,3),(5,8),(6,7),(7,1),(7,2),(8,9),(10,4),(10,5)],11) [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,10),(2,10),(3,9),(4,8),(5,3),(5,8),(6,7),(7,1),(7,2),(8,9),(10,4),(10,5)],11) [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,6),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,7),(7,4),(7,5),(9,10),(10,2),(10,3)],11) [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,4),(3,8),(4,5),(4,11),(5,2),(5,10),(6,7),(7,1),(7,3),(8,11),(10,9),(11,10)],12) [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,10),(2,8),(3,9),(4,3),(4,11),(5,4),(5,8),(6,7),(7,2),(7,5),(8,11),(9,10),(11,1),(11,9)],12) [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,10),(3,11),(4,8),(5,3),(5,10),(6,7),(7,2),(7,5),(8,9),(10,4),(10,11),(11,1),(11,8)],12) [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,10),(4,3),(4,8),(5,2),(5,11),(6,7),(7,1),(7,4),(8,5),(8,10),(10,11),(11,9)],12) [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,5),(4,12),(5,3),(5,8),(6,7),(7,1),(7,4),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13) [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,7),(7,4),(7,5),(9,10),(10,2),(10,3)],11) [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,10),(4,3),(4,8),(5,2),(5,11),(6,7),(7,1),(7,4),(8,5),(8,10),(10,11),(11,9)],12) [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,10),(3,11),(4,8),(5,3),(5,10),(6,7),(7,2),(7,5),(8,9),(10,4),(10,11),(11,1),(11,8)],12) [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,10),(2,8),(3,9),(4,3),(4,11),(5,4),(5,8),(6,7),(7,2),(7,5),(8,11),(9,10),(11,1),(11,9)],12) [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,4),(3,8),(4,5),(4,11),(5,2),(5,10),(6,7),(7,1),(7,3),(8,11),(10,9),(11,10)],12) [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,5),(4,12),(5,3),(5,8),(6,7),(7,1),(7,4),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13) [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,6),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,7),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,1)],12) [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,7),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,1)],12) [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,3),(4,8),(5,1),(5,8),(6,7),(7,4),(7,5),(8,10),(8,12),(10,11),(11,9),(12,2),(12,11)],13) [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,3),(4,8),(5,1),(5,8),(6,7),(7,4),(7,5),(8,10),(8,12),(10,11),(11,9),(12,2),(12,11)],13) [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,5),(3,8),(4,1),(4,8),(5,2),(5,11),(6,7),(7,3),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13)],14) [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,5),(3,8),(4,1),(4,8),(5,2),(5,11),(6,7),(7,3),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13)],14) [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(9,3),(9,4)],10) [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,7),(4,2),(4,8),(5,1),(5,8),(6,3),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11)],12) [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(9,3),(9,4)],10) [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,7),(4,2),(4,8),(5,1),(5,8),(6,3),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11)],12) [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(1,8),(2,8),(3,9),(4,9),(5,6),(6,3),(6,4),(7,1),(7,2),(9,7)],10) [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(1,8),(2,8),(3,9),(4,9),(5,6),(6,3),(6,4),(7,1),(7,2),(9,7)],10) [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(6,7),(7,1),(7,2),(8,5),(9,3),(9,4)],10) [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(6,7),(7,1),(7,2),(8,5),(9,3),(9,4)],10) [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,6),(1,10),(2,10),(3,9),(4,8),(5,3),(5,8),(6,7),(7,1),(7,2),(8,9),(10,4),(10,5)],11) [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,10),(2,10),(3,9),(4,8),(5,3),(5,8),(6,7),(7,1),(7,2),(8,9),(10,4),(10,5)],11) [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,6),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,7),(7,4),(7,5),(9,10),(10,2),(10,3)],11) [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,4),(3,8),(4,5),(4,11),(5,2),(5,10),(6,7),(7,1),(7,3),(8,11),(10,9),(11,10)],12) [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,10),(2,8),(3,9),(4,3),(4,11),(5,4),(5,8),(6,7),(7,2),(7,5),(8,11),(9,10),(11,1),(11,9)],12) [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,10),(3,11),(4,8),(5,3),(5,10),(6,7),(7,2),(7,5),(8,9),(10,4),(10,11),(11,1),(11,8)],12) [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,10),(4,3),(4,8),(5,2),(5,11),(6,7),(7,1),(7,4),(8,5),(8,10),(10,11),(11,9)],12) [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,5),(4,12),(5,3),(5,8),(6,7),(7,1),(7,4),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13) [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,7),(7,4),(7,5),(9,10),(10,2),(10,3)],11) [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,10),(4,3),(4,8),(5,2),(5,11),(6,7),(7,1),(7,4),(8,5),(8,10),(10,11),(11,9)],12) [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,10),(3,11),(4,8),(5,3),(5,10),(6,7),(7,2),(7,5),(8,9),(10,4),(10,11),(11,1),(11,8)],12) [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,10),(2,8),(3,9),(4,3),(4,11),(5,4),(5,8),(6,7),(7,2),(7,5),(8,11),(9,10),(11,1),(11,9)],12) [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,4),(3,8),(4,5),(4,11),(5,2),(5,10),(6,7),(7,1),(7,3),(8,11),(10,9),(11,10)],12) [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,5),(4,12),(5,3),(5,8),(6,7),(7,1),(7,4),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13) [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,6),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,7),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,1)],12) [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,7),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,1)],12) [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,3),(4,8),(5,1),(5,8),(6,7),(7,4),(7,5),(8,10),(8,12),(10,11),(11,9),(12,2),(12,11)],13) [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,3),(4,8),(5,1),(5,8),(6,7),(7,4),(7,5),(8,10),(8,12),(10,11),(11,9),(12,2),(12,11)],13) [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,5),(3,8),(4,1),(4,8),(5,2),(5,11),(6,7),(7,3),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13)],14) [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,5),(3,8),(4,1),(4,8),(5,2),(5,11),(6,7),(7,3),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13)],14) [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,9),(2,9),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2),(9,5)],10) [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,7),(1,9),(2,9),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2),(9,5)],10) [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,7),(2,9),(3,9),(4,8),(5,8),(6,2),(6,3),(7,4),(7,5),(8,6),(9,1)],10) [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => ([(0,7),(2,9),(3,9),(4,8),(5,8),(6,2),(6,3),(7,4),(7,5),(8,6),(9,1)],10) [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,4),(6,5),(7,2),(7,3),(8,6),(9,10)],11) [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,4),(6,5),(7,2),(7,3),(8,6),(9,10)],11) [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,7),(1,9),(2,9),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2),(9,5)],10) [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,7),(1,9),(2,9),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2),(9,5)],10) [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,7),(2,9),(3,9),(4,8),(5,8),(6,2),(6,3),(7,4),(7,5),(8,6),(9,1)],10) [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,7),(2,9),(3,9),(4,8),(5,8),(6,2),(6,3),(7,4),(7,5),(8,6),(9,1)],10) [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,7),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,4),(6,5),(7,2),(7,3),(8,6),(9,10)],11) [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,7),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,4),(6,5),(7,2),(7,3),(8,6),(9,10)],11) [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,7),(1,9),(2,9),(4,8),(5,8),(6,3),(7,1),(7,2),(8,6),(9,4),(9,5)],10) [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => ([(0,7),(1,9),(2,9),(4,8),(5,8),(6,3),(7,1),(7,2),(8,6),(9,4),(9,5)],10) [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => ([(0,7),(1,9),(2,9),(4,8),(5,8),(6,3),(7,1),(7,2),(8,6),(9,4),(9,5)],10) [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,7),(1,9),(2,9),(4,8),(5,8),(6,3),(7,1),(7,2),(8,6),(9,4),(9,5)],10) [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,7),(1,10),(2,10),(3,8),(4,8),(5,9),(6,9),(7,1),(7,2),(9,3),(9,4),(10,5),(10,6)],11) [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,7),(1,10),(2,10),(3,9),(5,8),(6,3),(6,8),(7,1),(7,2),(8,9),(9,4),(10,5),(10,6)],11) [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,7),(1,10),(2,10),(3,9),(5,8),(6,3),(6,8),(7,1),(7,2),(8,9),(9,4),(10,5),(10,6)],11) [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,7),(1,8),(2,11),(3,11),(4,9),(5,6),(5,8),(6,4),(6,10),(7,2),(7,3),(8,10),(10,9),(11,1),(11,5)],12) [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,7),(1,9),(2,11),(3,10),(4,10),(5,8),(6,5),(6,11),(7,3),(7,4),(8,9),(10,2),(10,6),(11,1),(11,8)],12) [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,7),(1,10),(2,10),(3,9),(5,8),(6,3),(6,8),(7,1),(7,2),(8,9),(9,4),(10,5),(10,6)],11) [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,10),(2,10),(3,9),(5,8),(6,3),(6,8),(7,1),(7,2),(8,9),(9,4),(10,5),(10,6)],11) [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,7),(1,9),(2,11),(3,10),(4,10),(5,8),(6,5),(6,11),(7,3),(7,4),(8,9),(10,2),(10,6),(11,1),(11,8)],12) [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,7),(1,8),(2,11),(3,11),(4,9),(5,6),(5,8),(6,4),(6,10),(7,2),(7,3),(8,10),(10,9),(11,1),(11,5)],12) [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(0,7),(1,11),(2,10),(3,8),(4,8),(5,2),(5,9),(6,1),(6,9),(7,3),(7,4),(8,5),(8,6),(9,10),(9,11),(10,12),(11,12)],13) [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => ([(0,7),(1,10),(2,9),(3,8),(4,8),(5,1),(5,9),(6,3),(6,4),(7,2),(7,5),(9,10),(10,6)],11) [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,7),(1,10),(2,9),(3,8),(4,8),(5,1),(5,9),(6,3),(6,4),(7,2),(7,5),(9,10),(10,6)],11) [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,7),(1,9),(2,9),(4,10),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(9,3),(10,1),(10,2)],11) [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,7),(1,9),(2,9),(4,10),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(9,3),(10,1),(10,2)],11) [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,1),(5,8),(6,2),(6,9),(7,4),(7,6),(8,10),(9,11),(11,3),(11,5)],12) [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,1),(5,8),(6,2),(6,9),(7,4),(7,6),(8,10),(9,11),(11,3),(11,5)],12) [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => ([(0,7),(2,8),(3,9),(4,5),(4,8),(5,3),(5,10),(6,1),(7,2),(7,4),(8,10),(9,6),(10,9)],11) [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => ([(0,7),(2,8),(3,9),(4,5),(4,8),(5,3),(5,10),(6,1),(7,2),(7,4),(8,10),(9,6),(10,9)],11) [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => ([(0,7),(2,8),(3,9),(4,5),(4,8),(5,3),(5,10),(6,1),(7,2),(7,4),(8,10),(9,6),(10,9)],11) [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,7),(2,8),(3,9),(4,5),(4,8),(5,3),(5,10),(6,1),(7,2),(7,4),(8,10),(9,6),(10,9)],11) [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,7),(1,11),(2,8),(3,8),(4,9),(5,1),(5,10),(6,5),(6,9),(7,4),(7,6),(9,10),(10,11),(11,2),(11,3)],12) [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,7),(2,8),(3,11),(4,5),(4,8),(5,6),(5,10),(6,3),(6,9),(7,2),(7,4),(8,10),(9,11),(10,9),(11,1)],12) [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,7),(2,8),(3,11),(4,5),(4,8),(5,6),(5,10),(6,3),(6,9),(7,2),(7,4),(8,10),(9,11),(10,9),(11,1)],12) [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,7),(1,8),(2,9),(3,5),(3,8),(4,6),(4,10),(5,4),(5,12),(6,2),(6,11),(7,1),(7,3),(8,12),(10,11),(11,9),(12,10)],13) [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,10),(2,8),(3,9),(4,5),(4,11),(5,3),(5,12),(6,4),(6,8),(7,2),(7,6),(8,11),(9,10),(11,12),(12,1),(12,9)],13) [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,7),(1,10),(3,8),(4,9),(5,4),(5,11),(6,5),(6,8),(7,3),(7,6),(8,11),(9,10),(10,2),(11,1),(11,9)],12) [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,7),(1,10),(3,8),(4,9),(5,4),(5,11),(6,5),(6,8),(7,3),(7,6),(8,11),(9,10),(10,2),(11,1),(11,9)],12) [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,7),(1,10),(2,11),(3,9),(4,8),(5,2),(5,12),(6,5),(6,8),(7,4),(7,6),(8,12),(9,10),(11,1),(11,9),(12,3),(12,11)],13) [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,8),(2,10),(3,9),(4,5),(4,8),(5,2),(5,11),(6,3),(6,12),(7,1),(7,4),(8,11),(10,12),(11,6),(11,10),(12,9)],13) [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,10),(2,11),(3,8),(4,5),(4,13),(5,2),(5,9),(6,4),(6,8),(7,3),(7,6),(8,13),(9,10),(9,11),(10,12),(11,12),(13,1),(13,9)],14) [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,7),(1,11),(2,10),(3,8),(4,8),(5,9),(6,5),(6,10),(7,2),(7,6),(9,11),(10,1),(10,9),(11,3),(11,4)],12) [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,7),(1,11),(2,10),(4,8),(5,9),(6,1),(6,10),(7,2),(7,6),(8,9),(9,3),(10,4),(10,11),(11,5),(11,8)],12) [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,7),(1,11),(2,10),(4,8),(5,9),(6,1),(6,10),(7,2),(7,6),(8,9),(9,3),(10,4),(10,11),(11,5),(11,8)],12) [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,7),(1,12),(2,8),(3,9),(4,10),(5,2),(5,12),(6,3),(6,11),(7,1),(7,5),(8,6),(8,10),(10,11),(11,9),(12,4),(12,8)],13) [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,10),(2,12),(3,9),(4,8),(5,11),(6,2),(6,10),(7,1),(7,6),(9,8),(10,5),(10,12),(11,4),(11,9),(12,3),(12,11)],13) [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,7),(1,11),(3,8),(4,10),(5,4),(5,8),(6,1),(6,9),(7,3),(7,5),(8,6),(8,10),(9,11),(10,9),(11,2)],12) [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,7),(1,11),(3,8),(4,10),(5,4),(5,8),(6,1),(6,9),(7,3),(7,5),(8,6),(8,10),(9,11),(10,9),(11,2)],12) [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13) [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,8),(2,9),(3,11),(4,3),(4,8),(5,2),(5,10),(6,5),(6,12),(7,1),(7,4),(8,6),(8,11),(10,9),(11,12),(12,10)],13) [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,10),(2,11),(3,13),(4,9),(5,3),(5,9),(6,1),(6,8),(7,4),(7,5),(8,10),(8,11),(9,6),(9,13),(10,12),(11,12),(13,2),(13,8)],14) [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,7),(2,11),(3,10),(4,9),(5,6),(5,11),(6,4),(6,8),(7,2),(7,5),(8,9),(8,10),(9,12),(10,12),(11,3),(11,8),(12,1)],13) [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,7),(2,11),(3,10),(4,9),(5,6),(5,11),(6,4),(6,8),(7,2),(7,5),(8,9),(8,10),(9,12),(10,12),(11,3),(11,8),(12,1)],13) [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,7),(1,12),(2,13),(3,9),(4,11),(5,6),(5,12),(6,2),(6,8),(7,1),(7,5),(8,11),(8,13),(10,9),(11,10),(12,4),(12,8),(13,3),(13,10)],14) [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,8),(2,10),(3,9),(4,5),(4,8),(5,2),(5,12),(6,3),(6,11),(7,1),(7,4),(8,6),(8,12),(9,14),(10,13),(11,9),(11,13),(12,10),(12,11),(13,14)],15) [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,7),(1,10),(2,9),(3,8),(4,8),(5,1),(5,9),(6,3),(6,4),(7,2),(7,5),(9,10),(10,6)],11) [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,7),(1,9),(3,8),(4,2),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,6)],10) [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,7),(1,10),(2,9),(3,8),(4,8),(5,1),(5,9),(6,3),(6,4),(7,2),(7,5),(9,10),(10,6)],11) [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,7),(1,9),(2,9),(4,10),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(9,3),(10,1),(10,2)],11) [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,7),(1,9),(2,9),(4,10),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(9,3),(10,1),(10,2)],11) [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,1),(5,8),(6,2),(6,9),(7,4),(7,6),(8,10),(9,11),(11,3),(11,5)],12) [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,1),(5,8),(6,2),(6,9),(7,4),(7,6),(8,10),(9,11),(11,3),(11,5)],12) [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,7),(1,11),(2,10),(3,8),(4,8),(5,9),(6,5),(6,10),(7,2),(7,6),(9,11),(10,1),(10,9),(11,3),(11,4)],12) [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,7),(1,11),(3,8),(4,10),(5,4),(5,8),(6,1),(6,9),(7,3),(7,5),(8,6),(8,10),(9,11),(10,9),(11,2)],12) [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,7),(1,11),(3,8),(4,10),(5,4),(5,8),(6,1),(6,9),(7,3),(7,5),(8,6),(8,10),(9,11),(10,9),(11,2)],12) [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,7),(1,8),(2,9),(3,11),(4,3),(4,8),(5,2),(5,10),(6,5),(6,12),(7,1),(7,4),(8,6),(8,11),(10,9),(11,12),(12,10)],13) [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(0,7),(1,10),(2,11),(3,8),(4,9),(5,2),(5,9),(6,3),(6,12),(7,4),(7,5),(8,10),(9,6),(9,11),(11,12),(12,1),(12,8)],13) [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,7),(1,11),(2,10),(4,8),(5,9),(6,1),(6,10),(7,2),(7,6),(8,9),(9,3),(10,4),(10,11),(11,5),(11,8)],12) [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,7),(1,11),(2,10),(4,8),(5,9),(6,1),(6,10),(7,2),(7,6),(8,9),(9,3),(10,4),(10,11),(11,5),(11,8)],12) [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,7),(1,10),(2,12),(3,9),(4,8),(5,11),(6,2),(6,10),(7,1),(7,6),(9,8),(10,5),(10,12),(11,4),(11,9),(12,3),(12,11)],13) [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(0,7),(1,12),(2,8),(3,9),(4,10),(5,2),(5,12),(6,3),(6,11),(7,1),(7,5),(8,6),(8,10),(10,11),(11,9),(12,4),(12,8)],13) [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(0,7),(1,10),(2,11),(3,13),(4,9),(5,3),(5,9),(6,1),(6,8),(7,4),(7,5),(8,10),(8,11),(9,6),(9,13),(10,12),(11,12),(13,2),(13,8)],14) [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,7),(2,8),(3,9),(4,5),(4,8),(5,3),(5,10),(6,1),(7,2),(7,4),(8,10),(9,6),(10,9)],11) [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => ([(0,7),(2,8),(3,9),(4,5),(4,8),(5,3),(5,10),(6,1),(7,2),(7,4),(8,10),(9,6),(10,9)],11) [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,7),(2,8),(3,9),(4,5),(4,8),(5,3),(5,10),(6,1),(7,2),(7,4),(8,10),(9,6),(10,9)],11) [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,7),(2,8),(3,9),(4,5),(4,8),(5,3),(5,10),(6,1),(7,2),(7,4),(8,10),(9,6),(10,9)],11) [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,7),(1,11),(2,8),(3,8),(4,9),(5,1),(5,10),(6,5),(6,9),(7,4),(7,6),(9,10),(10,11),(11,2),(11,3)],12) [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,7),(1,10),(3,8),(4,9),(5,4),(5,11),(6,5),(6,8),(7,3),(7,6),(8,11),(9,10),(10,2),(11,1),(11,9)],12) [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,7),(1,10),(3,8),(4,9),(5,4),(5,11),(6,5),(6,8),(7,3),(7,6),(8,11),(9,10),(10,2),(11,1),(11,9)],12) [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,7),(1,8),(2,10),(3,9),(4,5),(4,8),(5,2),(5,11),(6,3),(6,12),(7,1),(7,4),(8,11),(10,12),(11,6),(11,10),(12,9)],13) [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(0,7),(1,10),(2,11),(3,9),(4,8),(5,2),(5,12),(6,5),(6,8),(7,4),(7,6),(8,12),(9,10),(11,1),(11,9),(12,3),(12,11)],13) [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,7),(2,8),(3,11),(4,5),(4,8),(5,6),(5,10),(6,3),(6,9),(7,2),(7,4),(8,10),(9,11),(10,9),(11,1)],12) [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,7),(2,8),(3,11),(4,5),(4,8),(5,6),(5,10),(6,3),(6,9),(7,2),(7,4),(8,10),(9,11),(10,9),(11,1)],12) [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,7),(1,10),(2,8),(3,9),(4,5),(4,11),(5,3),(5,12),(6,4),(6,8),(7,2),(7,6),(8,11),(9,10),(11,12),(12,1),(12,9)],13) [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(0,7),(1,8),(2,9),(3,5),(3,8),(4,6),(4,10),(5,4),(5,12),(6,2),(6,11),(7,1),(7,3),(8,12),(10,11),(11,9),(12,10)],13) [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(0,7),(1,10),(2,11),(3,8),(4,5),(4,13),(5,2),(5,9),(6,4),(6,8),(7,3),(7,6),(8,13),(9,10),(9,11),(10,12),(11,12),(13,1),(13,9)],14) [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,7),(2,11),(3,10),(4,9),(5,6),(5,11),(6,4),(6,8),(7,2),(7,5),(8,9),(8,10),(9,12),(10,12),(11,3),(11,8),(12,1)],13) [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,7),(2,11),(3,10),(4,9),(5,6),(5,11),(6,4),(6,8),(7,2),(7,5),(8,9),(8,10),(9,12),(10,12),(11,3),(11,8),(12,1)],13) [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,7),(1,13),(2,12),(3,9),(4,11),(5,6),(5,12),(6,4),(6,8),(7,2),(7,5),(8,11),(8,13),(10,9),(11,10),(12,1),(12,8),(13,3),(13,10)],14) [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(0,7),(1,12),(2,13),(3,9),(4,11),(5,6),(5,12),(6,2),(6,8),(7,1),(7,5),(8,11),(8,13),(10,9),(11,10),(12,4),(12,8),(13,3),(13,10)],14) [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(0,7),(1,8),(2,10),(3,9),(4,5),(4,8),(5,2),(5,12),(6,3),(6,11),(7,1),(7,4),(8,6),(8,12),(9,14),(10,13),(11,9),(11,13),(12,10),(12,11),(13,14)],15) [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,7),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,1),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,6)],12) [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,7),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,1),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,6)],12) [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,7),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,1),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,6)],12) [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,7),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,1),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,6)],12) [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(0,7),(1,11),(2,10),(3,8),(4,8),(5,2),(5,9),(6,1),(6,9),(7,5),(7,6),(9,10),(9,11),(10,12),(11,12),(12,3),(12,4)],13) [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,7),(2,12),(3,11),(4,10),(5,3),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(8,11),(9,12),(10,9),(11,2),(11,9),(12,1)],13) [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,7),(2,12),(3,11),(4,10),(5,3),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(8,11),(9,12),(10,9),(11,2),(11,9),(12,1)],13) [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(0,7),(1,9),(2,10),(3,11),(4,2),(4,8),(5,3),(5,8),(6,1),(6,12),(7,4),(7,5),(8,10),(8,11),(10,13),(11,6),(11,13),(12,9),(13,12)],14) [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(0,7),(1,10),(2,11),(3,13),(4,8),(5,2),(5,9),(6,3),(6,9),(7,5),(7,6),(8,10),(9,11),(9,13),(11,12),(12,1),(12,8),(13,4),(13,12)],14) [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,7),(2,12),(3,11),(4,10),(5,3),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(8,11),(9,12),(10,9),(11,2),(11,9),(12,1)],13) [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,7),(2,12),(3,11),(4,10),(5,3),(5,8),(6,4),(6,8),(7,5),(7,6),(8,10),(8,11),(9,12),(10,9),(11,2),(11,9),(12,1)],13) [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(0,7),(1,10),(2,11),(3,13),(4,8),(5,2),(5,9),(6,3),(6,9),(7,5),(7,6),(8,10),(9,11),(9,13),(11,12),(12,1),(12,8),(13,4),(13,12)],14) [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(0,7),(1,9),(2,10),(3,11),(4,2),(4,8),(5,3),(5,8),(6,1),(6,12),(7,4),(7,5),(8,10),(8,11),(10,13),(11,6),(11,13),(12,9),(13,12)],14) [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(0,7),(1,11),(2,10),(3,13),(4,14),(5,3),(5,9),(6,4),(6,9),(7,5),(7,6),(8,10),(8,11),(9,13),(9,14),(10,12),(11,12),(13,2),(13,8),(14,1),(14,8)],15) [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,7),(2,10),(3,9),(4,3),(4,8),(5,6),(5,8),(6,2),(6,11),(7,4),(7,5),(8,9),(8,11),(9,12),(10,13),(11,10),(11,12),(12,13),(13,1)],14) [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,7),(2,10),(3,9),(4,3),(4,8),(5,6),(5,8),(6,2),(6,11),(7,4),(7,5),(8,9),(8,11),(9,12),(10,13),(11,10),(11,12),(12,13),(13,1)],14) [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(0,7),(1,14),(2,9),(3,10),(4,3),(4,8),(5,6),(5,8),(6,1),(6,11),(7,4),(7,5),(8,10),(8,11),(10,13),(11,13),(11,14),(12,9),(13,12),(14,2),(14,12)],15) [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(0,7),(1,11),(2,9),(3,10),(4,3),(4,8),(5,6),(5,8),(6,1),(6,12),(7,4),(7,5),(8,10),(8,12),(10,14),(11,13),(12,11),(12,14),(13,9),(14,2),(14,13)],15) [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,1),(1,2),(1,3),(2,5),(2,13),(3,7),(3,13),(4,12),(5,11),(6,4),(6,15),(7,6),(7,14),(9,10),(10,8),(11,9),(12,8),(13,11),(13,14),(14,9),(14,15),(15,10),(15,12)],16) [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,1),(1,3),(1,4),(2,12),(3,7),(3,15),(4,6),(4,15),(5,9),(6,11),(7,5),(7,13),(9,10),(10,8),(11,2),(11,14),(12,8),(13,9),(13,14),(14,10),(14,12),(15,11),(15,13)],16) [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,7),(2,10),(3,9),(4,3),(4,8),(5,6),(5,8),(6,2),(6,11),(7,4),(7,5),(8,9),(8,11),(9,12),(10,13),(11,10),(11,12),(12,13),(13,1)],14) [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(0,7),(2,10),(3,9),(4,3),(4,8),(5,6),(5,8),(6,2),(6,11),(7,4),(7,5),(8,9),(8,11),(9,12),(10,13),(11,10),(11,12),(12,13),(13,1)],14) [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(0,7),(1,11),(2,9),(3,10),(4,3),(4,8),(5,6),(5,8),(6,1),(6,12),(7,4),(7,5),(8,10),(8,12),(10,14),(11,13),(12,11),(12,14),(13,9),(14,2),(14,13)],15) [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,14),(2,9),(3,10),(4,3),(4,8),(5,6),(5,8),(6,1),(6,11),(7,4),(7,5),(8,10),(8,11),(10,13),(11,13),(11,14),(12,9),(13,12),(14,2),(14,12)],15) [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,1),(1,3),(1,4),(2,12),(3,7),(3,15),(4,6),(4,15),(5,9),(6,11),(7,5),(7,13),(9,10),(10,8),(11,2),(11,14),(12,8),(13,9),(13,14),(14,10),(14,12),(15,11),(15,13)],16) [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,1),(1,2),(1,3),(2,5),(2,13),(3,7),(3,13),(4,12),(5,11),(6,4),(6,15),(7,6),(7,14),(9,10),(10,8),(11,9),(12,8),(13,11),(13,14),(14,9),(14,15),(15,10),(15,12)],16) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,1),(1,2),(1,3),(2,7),(2,14),(3,6),(3,14),(4,11),(5,12),(6,4),(6,15),(7,5),(7,16),(9,8),(10,8),(11,9),(12,10),(13,9),(13,10),(14,15),(14,16),(15,11),(15,13),(16,12),(16,13)],17) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(9,3),(9,4)],10) [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,7),(4,2),(4,8),(5,1),(5,8),(6,3),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11)],12) [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(9,3),(9,4)],10) [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,9),(3,8),(4,7),(5,1),(5,8),(6,4),(7,3),(7,5),(8,9),(9,2)],10) [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,10),(3,8),(4,7),(5,3),(5,10),(6,4),(7,2),(7,5),(8,9),(10,1),(10,8)],11) [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,7),(4,5),(4,8),(5,2),(5,10),(6,3),(7,1),(7,4),(8,10),(10,9)],11) [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,7),(4,2),(4,8),(5,1),(5,8),(6,3),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11)],12) [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,5),(1,8),(2,8),(3,9),(4,9),(5,6),(6,3),(6,4),(7,1),(7,2),(9,7)],10) [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,6),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3),(8,5)],9) [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(1,8),(2,8),(3,9),(4,9),(5,6),(6,3),(6,4),(7,1),(7,2),(9,7)],10) [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(6,7),(7,1),(7,2),(8,5),(9,3),(9,4)],10) [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,6),(1,9),(2,9),(3,8),(4,8),(6,7),(7,1),(7,2),(8,5),(9,3),(9,4)],10) [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,6),(1,10),(2,10),(3,9),(4,8),(5,3),(5,8),(6,7),(7,1),(7,2),(8,9),(10,4),(10,5)],11) [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,10),(2,10),(3,9),(4,8),(5,3),(5,8),(6,7),(7,1),(7,2),(8,9),(10,4),(10,5)],11) [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,6),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,7),(7,4),(7,5),(9,10),(10,2),(10,3)],11) [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,4),(3,8),(4,5),(4,11),(5,2),(5,10),(6,7),(7,1),(7,3),(8,11),(10,9),(11,10)],12) [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,10),(2,8),(3,9),(4,3),(4,11),(5,4),(5,8),(6,7),(7,2),(7,5),(8,11),(9,10),(11,1),(11,9)],12) [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,6),(1,9),(2,10),(3,11),(4,8),(5,3),(5,10),(6,7),(7,2),(7,5),(8,9),(10,4),(10,11),(11,1),(11,8)],12) [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,10),(4,3),(4,8),(5,2),(5,11),(6,7),(7,1),(7,4),(8,5),(8,10),(10,11),(11,9)],12) [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,5),(4,12),(5,3),(5,8),(6,7),(7,1),(7,4),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13) [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,6),(2,9),(3,8),(4,2),(4,8),(5,1),(6,7),(7,3),(7,4),(8,9),(9,5)],10) [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,10),(2,8),(3,8),(4,9),(5,1),(5,9),(6,7),(7,4),(7,5),(9,10),(10,2),(10,3)],11) [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,8),(2,9),(3,10),(4,3),(4,8),(5,2),(5,11),(6,7),(7,1),(7,4),(8,5),(8,10),(10,11),(11,9)],12) [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,9),(2,10),(3,11),(4,8),(5,3),(5,10),(6,7),(7,2),(7,5),(8,9),(10,4),(10,11),(11,1),(11,8)],12) [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,6),(2,10),(3,8),(4,2),(4,9),(5,4),(5,8),(6,7),(7,3),(7,5),(8,9),(9,10),(10,1)],11) [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,10),(2,8),(3,9),(4,3),(4,11),(5,4),(5,8),(6,7),(7,2),(7,5),(8,11),(9,10),(11,1),(11,9)],12) [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,8),(2,9),(3,4),(3,8),(4,5),(4,11),(5,2),(5,10),(6,7),(7,1),(7,3),(8,11),(10,9),(11,10)],12) [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,5),(4,12),(5,3),(5,8),(6,7),(7,1),(7,4),(8,9),(8,10),(9,11),(10,11),(12,2),(12,8)],13) [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,6),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,7),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,1)],12) [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(2,10),(3,9),(4,3),(4,8),(5,2),(5,8),(6,7),(7,4),(7,5),(8,9),(8,10),(9,11),(10,11),(11,1)],12) [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,3),(4,8),(5,1),(5,8),(6,7),(7,4),(7,5),(8,10),(8,12),(10,11),(11,9),(12,2),(12,11)],13) [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,12),(2,9),(3,10),(4,3),(4,8),(5,1),(5,8),(6,7),(7,4),(7,5),(8,10),(8,12),(10,11),(11,9),(12,2),(12,11)],13) [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,5),(3,8),(4,1),(4,8),(5,2),(5,11),(6,7),(7,3),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13)],14) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,10),(2,9),(3,5),(3,8),(4,1),(4,8),(5,2),(5,11),(6,7),(7,3),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13)],14) [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,8),(2,8),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],9) [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,9),(2,8),(3,4),(4,7),(5,1),(5,8),(6,3),(7,2),(7,5),(8,9)],10) ----------------------------------------------------------------------------- Created: May 12, 2021 at 10:42 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: May 12, 2021 at 10:42 by Martin Rubey