***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 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. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St001596 ----------------------------------------------------------------------------- Collection: Skew partitions ----------------------------------------------------------------------------- Description: The number of two-by-two squares inside a skew partition. This is, the number of cells $(i,j)$ in a skew partition for which the box $(i+1,j+1)$ is also a cell inside the skew partition. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(L): cs = L.cells() return sum(1 for a,b in cs if (a+1,b+1) in cs) ----------------------------------------------------------------------------- Statistic values: [[1],[]] => 0 [[2],[]] => 0 [[1,1],[]] => 0 [[2,1],[1]] => 0 [[3],[]] => 0 [[2,1],[]] => 0 [[3,1],[1]] => 0 [[2,2],[1]] => 0 [[3,2],[2]] => 0 [[1,1,1],[]] => 0 [[2,2,1],[1,1]] => 0 [[2,1,1],[1]] => 0 [[3,2,1],[2,1]] => 0 [[4],[]] => 0 [[3,1],[]] => 0 [[4,1],[1]] => 0 [[2,2],[]] => 1 [[3,2],[1]] => 0 [[4,2],[2]] => 0 [[2,1,1],[]] => 0 [[3,2,1],[1,1]] => 0 [[3,1,1],[1]] => 0 [[4,2,1],[2,1]] => 0 [[3,3],[2]] => 0 [[4,3],[3]] => 0 [[2,2,1],[1]] => 0 [[3,3,1],[2,1]] => 0 [[3,2,1],[2]] => 0 [[4,3,1],[3,1]] => 0 [[2,2,2],[1,1]] => 0 [[3,3,2],[2,2]] => 0 [[3,2,2],[2,1]] => 0 [[4,3,2],[3,2]] => 0 [[1,1,1,1],[]] => 0 [[2,2,2,1],[1,1,1]] => 0 [[2,2,1,1],[1,1]] => 0 [[3,3,2,1],[2,2,1]] => 0 [[2,1,1,1],[1]] => 0 [[3,2,2,1],[2,1,1]] => 0 [[3,2,1,1],[2,1]] => 0 [[4,3,2,1],[3,2,1]] => 0 [[5],[]] => 0 [[4,1],[]] => 0 [[5,1],[1]] => 0 [[3,2],[]] => 1 [[4,2],[1]] => 0 [[5,2],[2]] => 0 [[3,1,1],[]] => 0 [[4,2,1],[1,1]] => 0 [[4,1,1],[1]] => 0 [[5,2,1],[2,1]] => 0 [[3,3],[1]] => 1 [[4,3],[2]] => 0 [[5,3],[3]] => 0 [[2,2,1],[]] => 1 [[3,3,1],[1,1]] => 1 [[3,2,1],[1]] => 0 [[4,3,1],[2,1]] => 0 [[4,2,1],[2]] => 0 [[5,3,1],[3,1]] => 0 [[3,2,2],[1,1]] => 0 [[4,3,2],[2,2]] => 0 [[4,2,2],[2,1]] => 0 [[5,3,2],[3,2]] => 0 [[2,1,1,1],[]] => 0 [[3,2,2,1],[1,1,1]] => 0 [[3,2,1,1],[1,1]] => 0 [[4,3,2,1],[2,2,1]] => 0 [[3,1,1,1],[1]] => 0 [[4,2,2,1],[2,1,1]] => 0 [[4,2,1,1],[2,1]] => 0 [[5,3,2,1],[3,2,1]] => 0 [[4,4],[3]] => 0 [[5,4],[4]] => 0 [[3,3,1],[2]] => 0 [[4,4,1],[3,1]] => 0 [[4,3,1],[3]] => 0 [[5,4,1],[4,1]] => 0 [[2,2,2],[1]] => 1 [[3,3,2],[2,1]] => 0 [[4,4,2],[3,2]] => 0 [[3,2,2],[2]] => 1 [[4,3,2],[3,1]] => 0 [[5,4,2],[4,2]] => 0 [[2,2,1,1],[1]] => 0 [[3,3,2,1],[2,1,1]] => 0 [[3,3,1,1],[2,1]] => 0 [[4,4,2,1],[3,2,1]] => 0 [[3,2,1,1],[2]] => 0 [[4,3,2,1],[3,1,1]] => 0 [[4,3,1,1],[3,1]] => 0 [[5,4,2,1],[4,2,1]] => 0 [[3,3,3],[2,2]] => 0 [[4,4,3],[3,3]] => 0 [[4,3,3],[3,2]] => 0 [[5,4,3],[4,3]] => 0 [[2,2,2,1],[1,1]] => 0 [[3,3,3,1],[2,2,1]] => 0 [[3,3,2,1],[2,2]] => 0 [[4,4,3,1],[3,3,1]] => 0 [[3,2,2,1],[2,1]] => 0 [[4,3,3,1],[3,2,1]] => 0 [[4,3,2,1],[3,2]] => 0 [[5,4,3,1],[4,3,1]] => 0 [[2,2,2,2],[1,1,1]] => 0 [[3,3,3,2],[2,2,2]] => 0 [[3,3,2,2],[2,2,1]] => 0 [[4,4,3,2],[3,3,2]] => 0 [[3,2,2,2],[2,1,1]] => 0 [[4,3,3,2],[3,2,2]] => 0 [[4,3,2,2],[3,2,1]] => 0 [[5,4,3,2],[4,3,2]] => 0 [[1,1,1,1,1],[]] => 0 [[2,2,2,2,1],[1,1,1,1]] => 0 [[2,2,2,1,1],[1,1,1]] => 0 [[3,3,3,2,1],[2,2,2,1]] => 0 [[2,2,1,1,1],[1,1]] => 0 [[3,3,2,2,1],[2,2,1,1]] => 0 [[3,3,2,1,1],[2,2,1]] => 0 [[4,4,3,2,1],[3,3,2,1]] => 0 [[2,1,1,1,1],[1]] => 0 [[3,2,2,2,1],[2,1,1,1]] => 0 [[3,2,2,1,1],[2,1,1]] => 0 [[4,3,3,2,1],[3,2,2,1]] => 0 [[3,2,1,1,1],[2,1]] => 0 [[4,3,2,2,1],[3,2,1,1]] => 0 [[4,3,2,1,1],[3,2,1]] => 0 [[5,4,3,2,1],[4,3,2,1]] => 0 [[6],[]] => 0 [[5,1],[]] => 0 [[6,1],[1]] => 0 [[4,2],[]] => 1 [[5,2],[1]] => 0 [[6,2],[2]] => 0 [[4,1,1],[]] => 0 [[5,2,1],[1,1]] => 0 [[5,1,1],[1]] => 0 [[6,2,1],[2,1]] => 0 [[3,3],[]] => 2 [[4,3],[1]] => 1 [[5,3],[2]] => 0 [[6,3],[3]] => 0 [[3,2,1],[]] => 1 [[4,3,1],[1,1]] => 1 [[4,2,1],[1]] => 0 [[5,3,1],[2,1]] => 0 [[5,2,1],[2]] => 0 [[6,3,1],[3,1]] => 0 [[4,2,2],[1,1]] => 0 [[5,3,2],[2,2]] => 0 [[5,2,2],[2,1]] => 0 [[6,3,2],[3,2]] => 0 [[3,1,1,1],[]] => 0 [[4,2,2,1],[1,1,1]] => 0 [[4,2,1,1],[1,1]] => 0 [[5,3,2,1],[2,2,1]] => 0 [[4,1,1,1],[1]] => 0 [[5,2,2,1],[2,1,1]] => 0 [[5,2,1,1],[2,1]] => 0 [[6,3,2,1],[3,2,1]] => 0 [[4,4],[2]] => 1 [[5,4],[3]] => 0 [[6,4],[4]] => 0 [[3,3,1],[1]] => 1 [[4,4,1],[2,1]] => 1 [[4,3,1],[2]] => 0 [[5,4,1],[3,1]] => 0 [[5,3,1],[3]] => 0 [[6,4,1],[4,1]] => 0 [[2,2,2],[]] => 2 [[3,3,2],[1,1]] => 1 [[4,4,2],[2,2]] => 1 [[3,2,2],[1]] => 1 [[4,3,2],[2,1]] => 0 [[5,4,2],[3,2]] => 0 [[4,2,2],[2]] => 1 [[5,3,2],[3,1]] => 0 [[6,4,2],[4,2]] => 0 [[2,2,1,1],[]] => 1 [[3,3,2,1],[1,1,1]] => 1 [[3,3,1,1],[1,1]] => 1 [[4,4,2,1],[2,2,1]] => 1 [[3,2,1,1],[1]] => 0 [[4,3,2,1],[2,1,1]] => 0 [[4,3,1,1],[2,1]] => 0 [[5,4,2,1],[3,2,1]] => 0 [[4,2,1,1],[2]] => 0 [[5,3,2,1],[3,1,1]] => 0 [[5,3,1,1],[3,1]] => 0 [[6,4,2,1],[4,2,1]] => 0 [[4,3,3],[2,2]] => 0 [[5,4,3],[3,3]] => 0 [[5,3,3],[3,2]] => 0 [[6,4,3],[4,3]] => 0 [[3,2,2,1],[1,1]] => 0 [[4,3,3,1],[2,2,1]] => 0 [[4,3,2,1],[2,2]] => 0 [[5,4,3,1],[3,3,1]] => 0 [[4,2,2,1],[2,1]] => 0 [[5,3,3,1],[3,2,1]] => 0 [[5,3,2,1],[3,2]] => 0 [[6,4,3,1],[4,3,1]] => 0 [[3,2,2,2],[1,1,1]] => 0 [[4,3,3,2],[2,2,2]] => 0 [[4,3,2,2],[2,2,1]] => 0 [[5,4,3,2],[3,3,2]] => 0 [[4,2,2,2],[2,1,1]] => 0 [[5,3,3,2],[3,2,2]] => 0 [[5,3,2,2],[3,2,1]] => 0 [[6,4,3,2],[4,3,2]] => 0 [[2,1,1,1,1],[]] => 0 [[3,2,2,2,1],[1,1,1,1]] => 0 [[3,2,2,1,1],[1,1,1]] => 0 [[4,3,3,2,1],[2,2,2,1]] => 0 [[3,2,1,1,1],[1,1]] => 0 [[4,3,2,2,1],[2,2,1,1]] => 0 [[4,3,2,1,1],[2,2,1]] => 0 [[5,4,3,2,1],[3,3,2,1]] => 0 [[3,1,1,1,1],[1]] => 0 [[4,2,2,2,1],[2,1,1,1]] => 0 [[4,2,2,1,1],[2,1,1]] => 0 [[5,3,3,2,1],[3,2,2,1]] => 0 [[4,2,1,1,1],[2,1]] => 0 [[5,3,2,2,1],[3,2,1,1]] => 0 [[5,3,2,1,1],[3,2,1]] => 0 [[6,4,3,2,1],[4,3,2,1]] => 0 [[5,5],[4]] => 0 [[6,5],[5]] => 0 [[4,4,1],[3]] => 0 [[5,5,1],[4,1]] => 0 [[5,4,1],[4]] => 0 [[6,5,1],[5,1]] => 0 [[3,3,2],[2]] => 1 [[4,4,2],[3,1]] => 0 [[5,5,2],[4,2]] => 0 [[4,3,2],[3]] => 1 [[5,4,2],[4,1]] => 0 [[6,5,2],[5,2]] => 0 [[3,3,1,1],[2]] => 0 [[4,4,2,1],[3,1,1]] => 0 [[4,4,1,1],[3,1]] => 0 [[5,5,2,1],[4,2,1]] => 0 [[4,3,1,1],[3]] => 0 [[5,4,2,1],[4,1,1]] => 0 [[5,4,1,1],[4,1]] => 0 [[6,5,2,1],[5,2,1]] => 0 [[3,3,3],[2,1]] => 1 [[4,4,3],[3,2]] => 0 [[5,5,3],[4,3]] => 0 [[4,3,3],[3,1]] => 1 [[5,4,3],[4,2]] => 0 [[6,5,3],[5,3]] => 0 [[2,2,2,1],[1]] => 1 [[3,3,3,1],[2,1,1]] => 1 [[3,3,2,1],[2,1]] => 0 [[4,4,3,1],[3,2,1]] => 0 [[4,4,2,1],[3,2]] => 0 [[5,5,3,1],[4,3,1]] => 0 [[3,2,2,1],[2]] => 1 [[4,3,3,1],[3,1,1]] => 1 [[4,3,2,1],[3,1]] => 0 [[5,4,3,1],[4,2,1]] => 0 [[5,4,2,1],[4,2]] => 0 [[6,5,3,1],[5,3,1]] => 0 [[3,3,2,2],[2,1,1]] => 0 [[4,4,3,2],[3,2,2]] => 0 [[4,4,2,2],[3,2,1]] => 0 [[5,5,3,2],[4,3,2]] => 0 [[4,3,2,2],[3,1,1]] => 0 [[5,4,3,2],[4,2,2]] => 0 [[5,4,2,2],[4,2,1]] => 0 [[6,5,3,2],[5,3,2]] => 0 [[2,2,1,1,1],[1]] => 0 [[3,3,2,2,1],[2,1,1,1]] => 0 [[3,3,2,1,1],[2,1,1]] => 0 [[4,4,3,2,1],[3,2,2,1]] => 0 [[3,3,1,1,1],[2,1]] => 0 [[4,4,2,2,1],[3,2,1,1]] => 0 [[4,4,2,1,1],[3,2,1]] => 0 [[5,5,3,2,1],[4,3,2,1]] => 0 [[3,2,1,1,1],[2]] => 0 [[4,3,2,2,1],[3,1,1,1]] => 0 [[4,3,2,1,1],[3,1,1]] => 0 [[5,4,3,2,1],[4,2,2,1]] => 0 [[4,3,1,1,1],[3,1]] => 0 [[5,4,2,2,1],[4,2,1,1]] => 0 [[5,4,2,1,1],[4,2,1]] => 0 [[6,5,3,2,1],[5,3,2,1]] => 0 [[4,4,4],[3,3]] => 0 [[5,5,4],[4,4]] => 0 [[5,4,4],[4,3]] => 0 [[6,5,4],[5,4]] => 0 [[3,3,3,1],[2,2]] => 0 [[4,4,4,1],[3,3,1]] => 0 [[4,4,3,1],[3,3]] => 0 [[5,5,4,1],[4,4,1]] => 0 [[4,3,3,1],[3,2]] => 0 [[5,4,4,1],[4,3,1]] => 0 [[5,4,3,1],[4,3]] => 0 [[6,5,4,1],[5,4,1]] => 0 [[2,2,2,2],[1,1]] => 1 [[3,3,3,2],[2,2,1]] => 0 [[4,4,4,2],[3,3,2]] => 0 [[3,3,2,2],[2,2]] => 1 [[4,4,3,2],[3,3,1]] => 0 [[5,5,4,2],[4,4,2]] => 0 [[3,2,2,2],[2,1]] => 1 [[4,3,3,2],[3,2,1]] => 0 [[5,4,4,2],[4,3,2]] => 0 [[4,3,2,2],[3,2]] => 1 [[5,4,3,2],[4,3,1]] => 0 [[6,5,4,2],[5,4,2]] => 0 [[2,2,2,1,1],[1,1]] => 0 [[3,3,3,2,1],[2,2,1,1]] => 0 [[3,3,3,1,1],[2,2,1]] => 0 [[4,4,4,2,1],[3,3,2,1]] => 0 [[3,3,2,1,1],[2,2]] => 0 [[4,4,3,2,1],[3,3,1,1]] => 0 [[4,4,3,1,1],[3,3,1]] => 0 [[5,5,4,2,1],[4,4,2,1]] => 0 [[3,2,2,1,1],[2,1]] => 0 [[4,3,3,2,1],[3,2,1,1]] => 0 [[4,3,3,1,1],[3,2,1]] => 0 [[5,4,4,2,1],[4,3,2,1]] => 0 [[4,3,2,1,1],[3,2]] => 0 [[5,4,3,2,1],[4,3,1,1]] => 0 [[5,4,3,1,1],[4,3,1]] => 0 [[6,5,4,2,1],[5,4,2,1]] => 0 [[3,3,3,3],[2,2,2]] => 0 [[4,4,4,3],[3,3,3]] => 0 [[4,4,3,3],[3,3,2]] => 0 [[5,5,4,3],[4,4,3]] => 0 [[4,3,3,3],[3,2,2]] => 0 [[5,4,4,3],[4,3,3]] => 0 [[5,4,3,3],[4,3,2]] => 0 [[6,5,4,3],[5,4,3]] => 0 [[2,2,2,2,1],[1,1,1]] => 0 [[3,3,3,3,1],[2,2,2,1]] => 0 [[3,3,3,2,1],[2,2,2]] => 0 [[4,4,4,3,1],[3,3,3,1]] => 0 [[3,3,2,2,1],[2,2,1]] => 0 [[4,4,3,3,1],[3,3,2,1]] => 0 [[4,4,3,2,1],[3,3,2]] => 0 [[5,5,4,3,1],[4,4,3,1]] => 0 [[3,2,2,2,1],[2,1,1]] => 0 [[4,3,3,3,1],[3,2,2,1]] => 0 [[4,3,3,2,1],[3,2,2]] => 0 [[5,4,4,3,1],[4,3,3,1]] => 0 [[4,3,2,2,1],[3,2,1]] => 0 [[5,4,3,3,1],[4,3,2,1]] => 0 [[5,4,3,2,1],[4,3,2]] => 0 [[6,5,4,3,1],[5,4,3,1]] => 0 [[2,2,2,2,2],[1,1,1,1]] => 0 [[3,3,3,3,2],[2,2,2,2]] => 0 [[3,3,3,2,2],[2,2,2,1]] => 0 [[4,4,4,3,2],[3,3,3,2]] => 0 [[3,3,2,2,2],[2,2,1,1]] => 0 [[4,4,3,3,2],[3,3,2,2]] => 0 [[4,4,3,2,2],[3,3,2,1]] => 0 [[5,5,4,3,2],[4,4,3,2]] => 0 [[3,2,2,2,2],[2,1,1,1]] => 0 [[4,3,3,3,2],[3,2,2,2]] => 0 [[4,3,3,2,2],[3,2,2,1]] => 0 [[5,4,4,3,2],[4,3,3,2]] => 0 [[4,3,2,2,2],[3,2,1,1]] => 0 [[5,4,3,3,2],[4,3,2,2]] => 0 [[5,4,3,2,2],[4,3,2,1]] => 0 [[6,5,4,3,2],[5,4,3,2]] => 0 [[1,1,1,1,1,1],[]] => 0 [[2,2,2,2,2,1],[1,1,1,1,1]] => 0 [[2,2,2,2,1,1],[1,1,1,1]] => 0 [[3,3,3,3,2,1],[2,2,2,2,1]] => 0 [[2,2,2,1,1,1],[1,1,1]] => 0 [[3,3,3,2,2,1],[2,2,2,1,1]] => 0 [[3,3,3,2,1,1],[2,2,2,1]] => 0 [[4,4,4,3,2,1],[3,3,3,2,1]] => 0 [[2,2,1,1,1,1],[1,1]] => 0 [[3,3,2,2,2,1],[2,2,1,1,1]] => 0 [[3,3,2,2,1,1],[2,2,1,1]] => 0 [[4,4,3,3,2,1],[3,3,2,2,1]] => 0 [[3,3,2,1,1,1],[2,2,1]] => 0 [[4,4,3,2,2,1],[3,3,2,1,1]] => 0 [[4,4,3,2,1,1],[3,3,2,1]] => 0 [[5,5,4,3,2,1],[4,4,3,2,1]] => 0 [[2,1,1,1,1,1],[1]] => 0 [[3,2,2,2,2,1],[2,1,1,1,1]] => 0 [[3,2,2,2,1,1],[2,1,1,1]] => 0 [[4,3,3,3,2,1],[3,2,2,2,1]] => 0 [[3,2,2,1,1,1],[2,1,1]] => 0 [[4,3,3,2,2,1],[3,2,2,1,1]] => 0 [[4,3,3,2,1,1],[3,2,2,1]] => 0 [[5,4,4,3,2,1],[4,3,3,2,1]] => 0 [[3,2,1,1,1,1],[2,1]] => 0 [[4,3,2,2,2,1],[3,2,1,1,1]] => 0 [[4,3,2,2,1,1],[3,2,1,1]] => 0 [[5,4,3,3,2,1],[4,3,2,2,1]] => 0 [[4,3,2,1,1,1],[3,2,1]] => 0 [[5,4,3,2,2,1],[4,3,2,1,1]] => 0 [[5,4,3,2,1,1],[4,3,2,1]] => 0 [[6,5,4,3,2,1],[5,4,3,2,1]] => 0 [[7],[]] => 0 [[6,1],[]] => 0 [[7,1],[1]] => 0 [[5,2],[]] => 1 [[6,2],[1]] => 0 [[7,2],[2]] => 0 [[5,1,1],[]] => 0 [[6,2,1],[1,1]] => 0 [[6,1,1],[1]] => 0 [[7,2,1],[2,1]] => 0 [[4,3],[]] => 2 [[5,3],[1]] => 1 [[6,3],[2]] => 0 [[7,3],[3]] => 0 [[4,2,1],[]] => 1 [[5,3,1],[1,1]] => 1 [[5,2,1],[1]] => 0 [[6,3,1],[2,1]] => 0 [[6,2,1],[2]] => 0 [[7,3,1],[3,1]] => 0 [[5,2,2],[1,1]] => 0 [[6,3,2],[2,2]] => 0 [[6,2,2],[2,1]] => 0 [[7,3,2],[3,2]] => 0 [[4,1,1,1],[]] => 0 [[5,2,2,1],[1,1,1]] => 0 [[5,2,1,1],[1,1]] => 0 [[6,3,2,1],[2,2,1]] => 0 [[5,1,1,1],[1]] => 0 [[6,2,2,1],[2,1,1]] => 0 [[6,2,1,1],[2,1]] => 0 [[7,3,2,1],[3,2,1]] => 0 [[4,4],[1]] => 2 [[5,4],[2]] => 1 [[6,4],[3]] => 0 [[7,4],[4]] => 0 [[3,3,1],[]] => 2 [[4,4,1],[1,1]] => 2 [[4,3,1],[1]] => 1 [[5,4,1],[2,1]] => 1 [[5,3,1],[2]] => 0 [[6,4,1],[3,1]] => 0 [[6,3,1],[3]] => 0 [[7,4,1],[4,1]] => 0 [[3,2,2],[]] => 2 [[4,3,2],[1,1]] => 1 [[5,4,2],[2,2]] => 1 [[4,2,2],[1]] => 1 [[5,3,2],[2,1]] => 0 [[6,4,2],[3,2]] => 0 [[5,2,2],[2]] => 1 [[6,3,2],[3,1]] => 0 [[7,4,2],[4,2]] => 0 [[3,2,1,1],[]] => 1 [[4,3,2,1],[1,1,1]] => 1 [[4,3,1,1],[1,1]] => 1 [[5,4,2,1],[2,2,1]] => 1 [[4,2,1,1],[1]] => 0 [[5,3,2,1],[2,1,1]] => 0 [[5,3,1,1],[2,1]] => 0 [[6,4,2,1],[3,2,1]] => 0 [[5,2,1,1],[2]] => 0 [[6,3,2,1],[3,1,1]] => 0 [[6,3,1,1],[3,1]] => 0 [[7,4,2,1],[4,2,1]] => 0 [[5,3,3],[2,2]] => 0 [[6,4,3],[3,3]] => 0 [[6,3,3],[3,2]] => 0 [[7,4,3],[4,3]] => 0 [[4,2,2,1],[1,1]] => 0 [[5,3,3,1],[2,2,1]] => 0 [[5,3,2,1],[2,2]] => 0 [[6,4,3,1],[3,3,1]] => 0 [[5,2,2,1],[2,1]] => 0 [[6,3,3,1],[3,2,1]] => 0 [[6,3,2,1],[3,2]] => 0 [[7,4,3,1],[4,3,1]] => 0 [[4,2,2,2],[1,1,1]] => 0 [[5,3,3,2],[2,2,2]] => 0 [[5,3,2,2],[2,2,1]] => 0 [[6,4,3,2],[3,3,2]] => 0 [[5,2,2,2],[2,1,1]] => 0 [[6,3,3,2],[3,2,2]] => 0 [[6,3,2,2],[3,2,1]] => 0 [[7,4,3,2],[4,3,2]] => 0 [[3,1,1,1,1],[]] => 0 [[4,2,2,2,1],[1,1,1,1]] => 0 [[4,2,2,1,1],[1,1,1]] => 0 [[5,3,3,2,1],[2,2,2,1]] => 0 [[4,2,1,1,1],[1,1]] => 0 [[5,3,2,2,1],[2,2,1,1]] => 0 [[5,3,2,1,1],[2,2,1]] => 0 [[6,4,3,2,1],[3,3,2,1]] => 0 [[4,1,1,1,1],[1]] => 0 [[5,2,2,2,1],[2,1,1,1]] => 0 [[5,2,2,1,1],[2,1,1]] => 0 [[6,3,3,2,1],[3,2,2,1]] => 0 [[5,2,1,1,1],[2,1]] => 0 [[6,3,2,2,1],[3,2,1,1]] => 0 [[6,3,2,1,1],[3,2,1]] => 0 [[7,4,3,2,1],[4,3,2,1]] => 0 [[5,5],[3]] => 1 [[6,5],[4]] => 0 [[7,5],[5]] => 0 [[4,4,1],[2]] => 1 [[5,5,1],[3,1]] => 1 [[5,4,1],[3]] => 0 [[6,5,1],[4,1]] => 0 [[6,4,1],[4]] => 0 [[7,5,1],[5,1]] => 0 [[3,3,2],[1]] => 2 [[4,4,2],[2,1]] => 1 [[5,5,2],[3,2]] => 1 [[4,3,2],[2]] => 1 [[5,4,2],[3,1]] => 0 [[6,5,2],[4,2]] => 0 [[5,3,2],[3]] => 1 [[6,4,2],[4,1]] => 0 [[7,5,2],[5,2]] => 0 [[3,3,1,1],[1]] => 1 [[4,4,2,1],[2,1,1]] => 1 [[4,4,1,1],[2,1]] => 1 [[5,5,2,1],[3,2,1]] => 1 [[4,3,1,1],[2]] => 0 [[5,4,2,1],[3,1,1]] => 0 [[5,4,1,1],[3,1]] => 0 [[6,5,2,1],[4,2,1]] => 0 [[5,3,1,1],[3]] => 0 [[6,4,2,1],[4,1,1]] => 0 [[6,4,1,1],[4,1]] => 0 [[7,5,2,1],[5,2,1]] => 0 [[3,3,3],[1,1]] => 2 [[4,4,3],[2,2]] => 1 [[5,5,3],[3,3]] => 1 [[4,3,3],[2,1]] => 1 [[5,4,3],[3,2]] => 0 [[6,5,3],[4,3]] => 0 [[5,3,3],[3,1]] => 1 [[6,4,3],[4,2]] => 0 [[7,5,3],[5,3]] => 0 [[2,2,2,1],[]] => 2 [[3,3,3,1],[1,1,1]] => 2 [[3,3,2,1],[1,1]] => 1 [[4,4,3,1],[2,2,1]] => 1 [[4,4,2,1],[2,2]] => 1 [[5,5,3,1],[3,3,1]] => 1 [[3,2,2,1],[1]] => 1 [[4,3,3,1],[2,1,1]] => 1 [[4,3,2,1],[2,1]] => 0 [[5,4,3,1],[3,2,1]] => 0 [[5,4,2,1],[3,2]] => 0 [[6,5,3,1],[4,3,1]] => 0 [[4,2,2,1],[2]] => 1 [[5,3,3,1],[3,1,1]] => 1 [[5,3,2,1],[3,1]] => 0 [[6,4,3,1],[4,2,1]] => 0 [[6,4,2,1],[4,2]] => 0 [[7,5,3,1],[5,3,1]] => 0 [[3,3,2,2],[1,1,1]] => 1 [[4,4,3,2],[2,2,2]] => 1 [[4,4,2,2],[2,2,1]] => 1 [[5,5,3,2],[3,3,2]] => 1 [[4,3,2,2],[2,1,1]] => 0 [[5,4,3,2],[3,2,2]] => 0 [[5,4,2,2],[3,2,1]] => 0 [[6,5,3,2],[4,3,2]] => 0 [[5,3,2,2],[3,1,1]] => 0 [[6,4,3,2],[4,2,2]] => 0 [[6,4,2,2],[4,2,1]] => 0 [[7,5,3,2],[5,3,2]] => 0 [[2,2,1,1,1],[]] => 1 [[3,3,2,2,1],[1,1,1,1]] => 1 [[3,3,2,1,1],[1,1,1]] => 1 [[4,4,3,2,1],[2,2,2,1]] => 1 [[3,3,1,1,1],[1,1]] => 1 [[4,4,2,2,1],[2,2,1,1]] => 1 [[4,4,2,1,1],[2,2,1]] => 1 [[5,5,3,2,1],[3,3,2,1]] => 1 [[3,2,1,1,1],[1]] => 0 [[4,3,2,2,1],[2,1,1,1]] => 0 [[4,3,2,1,1],[2,1,1]] => 0 [[5,4,3,2,1],[3,2,2,1]] => 0 [[4,3,1,1,1],[2,1]] => 0 [[5,4,2,2,1],[3,2,1,1]] => 0 [[5,4,2,1,1],[3,2,1]] => 0 [[6,5,3,2,1],[4,3,2,1]] => 0 [[4,2,1,1,1],[2]] => 0 [[5,3,2,2,1],[3,1,1,1]] => 0 [[5,3,2,1,1],[3,1,1]] => 0 [[6,4,3,2,1],[4,2,2,1]] => 0 [[5,3,1,1,1],[3,1]] => 0 [[6,4,2,2,1],[4,2,1,1]] => 0 [[6,4,2,1,1],[4,2,1]] => 0 [[7,5,3,2,1],[5,3,2,1]] => 0 [[5,4,4],[3,3]] => 0 [[6,5,4],[4,4]] => 0 [[6,4,4],[4,3]] => 0 [[7,5,4],[5,4]] => 0 [[4,3,3,1],[2,2]] => 0 [[5,4,4,1],[3,3,1]] => 0 [[5,4,3,1],[3,3]] => 0 [[6,5,4,1],[4,4,1]] => 0 [[5,3,3,1],[3,2]] => 0 [[6,4,4,1],[4,3,1]] => 0 [[6,4,3,1],[4,3]] => 0 [[7,5,4,1],[5,4,1]] => 0 [[3,2,2,2],[1,1]] => 1 [[4,3,3,2],[2,2,1]] => 0 [[5,4,4,2],[3,3,2]] => 0 [[4,3,2,2],[2,2]] => 1 [[5,4,3,2],[3,3,1]] => 0 [[6,5,4,2],[4,4,2]] => 0 [[4,2,2,2],[2,1]] => 1 [[5,3,3,2],[3,2,1]] => 0 [[6,4,4,2],[4,3,2]] => 0 [[5,3,2,2],[3,2]] => 1 [[6,4,3,2],[4,3,1]] => 0 [[7,5,4,2],[5,4,2]] => 0 [[3,2,2,1,1],[1,1]] => 0 [[4,3,3,2,1],[2,2,1,1]] => 0 [[4,3,3,1,1],[2,2,1]] => 0 [[5,4,4,2,1],[3,3,2,1]] => 0 [[4,3,2,1,1],[2,2]] => 0 [[5,4,3,2,1],[3,3,1,1]] => 0 [[5,4,3,1,1],[3,3,1]] => 0 [[6,5,4,2,1],[4,4,2,1]] => 0 [[4,2,2,1,1],[2,1]] => 0 [[5,3,3,2,1],[3,2,1,1]] => 0 [[5,3,3,1,1],[3,2,1]] => 0 [[6,4,4,2,1],[4,3,2,1]] => 0 [[5,3,2,1,1],[3,2]] => 0 [[6,4,3,2,1],[4,3,1,1]] => 0 [[6,4,3,1,1],[4,3,1]] => 0 [[7,5,4,2,1],[5,4,2,1]] => 0 [[4,3,3,3],[2,2,2]] => 0 [[5,4,4,3],[3,3,3]] => 0 [[5,4,3,3],[3,3,2]] => 0 [[6,5,4,3],[4,4,3]] => 0 [[5,3,3,3],[3,2,2]] => 0 [[6,4,4,3],[4,3,3]] => 0 [[6,4,3,3],[4,3,2]] => 0 [[7,5,4,3],[5,4,3]] => 0 [[3,2,2,2,1],[1,1,1]] => 0 [[4,3,3,3,1],[2,2,2,1]] => 0 [[4,3,3,2,1],[2,2,2]] => 0 [[5,4,4,3,1],[3,3,3,1]] => 0 [[4,3,2,2,1],[2,2,1]] => 0 [[5,4,3,3,1],[3,3,2,1]] => 0 [[5,4,3,2,1],[3,3,2]] => 0 [[6,5,4,3,1],[4,4,3,1]] => 0 [[4,2,2,2,1],[2,1,1]] => 0 [[5,3,3,3,1],[3,2,2,1]] => 0 [[5,3,3,2,1],[3,2,2]] => 0 [[6,4,4,3,1],[4,3,3,1]] => 0 [[5,3,2,2,1],[3,2,1]] => 0 [[6,4,3,3,1],[4,3,2,1]] => 0 [[6,4,3,2,1],[4,3,2]] => 0 [[7,5,4,3,1],[5,4,3,1]] => 0 [[3,2,2,2,2],[1,1,1,1]] => 0 [[4,3,3,3,2],[2,2,2,2]] => 0 [[4,3,3,2,2],[2,2,2,1]] => 0 [[5,4,4,3,2],[3,3,3,2]] => 0 [[4,3,2,2,2],[2,2,1,1]] => 0 [[5,4,3,3,2],[3,3,2,2]] => 0 [[5,4,3,2,2],[3,3,2,1]] => 0 [[6,5,4,3,2],[4,4,3,2]] => 0 [[4,2,2,2,2],[2,1,1,1]] => 0 [[5,3,3,3,2],[3,2,2,2]] => 0 [[5,3,3,2,2],[3,2,2,1]] => 0 [[6,4,4,3,2],[4,3,3,2]] => 0 [[5,3,2,2,2],[3,2,1,1]] => 0 [[6,4,3,3,2],[4,3,2,2]] => 0 [[6,4,3,2,2],[4,3,2,1]] => 0 [[7,5,4,3,2],[5,4,3,2]] => 0 [[2,1,1,1,1,1],[]] => 0 [[3,2,2,2,2,1],[1,1,1,1,1]] => 0 [[3,2,2,2,1,1],[1,1,1,1]] => 0 [[4,3,3,3,2,1],[2,2,2,2,1]] => 0 [[3,2,2,1,1,1],[1,1,1]] => 0 [[4,3,3,2,2,1],[2,2,2,1,1]] => 0 [[4,3,3,2,1,1],[2,2,2,1]] => 0 [[5,4,4,3,2,1],[3,3,3,2,1]] => 0 [[3,2,1,1,1,1],[1,1]] => 0 [[4,3,2,2,2,1],[2,2,1,1,1]] => 0 [[4,3,2,2,1,1],[2,2,1,1]] => 0 [[5,4,3,3,2,1],[3,3,2,2,1]] => 0 [[4,3,2,1,1,1],[2,2,1]] => 0 [[5,4,3,2,2,1],[3,3,2,1,1]] => 0 [[5,4,3,2,1,1],[3,3,2,1]] => 0 [[6,5,4,3,2,1],[4,4,3,2,1]] => 0 [[3,1,1,1,1,1],[1]] => 0 [[4,2,2,2,2,1],[2,1,1,1,1]] => 0 [[4,2,2,2,1,1],[2,1,1,1]] => 0 [[5,3,3,3,2,1],[3,2,2,2,1]] => 0 [[4,2,2,1,1,1],[2,1,1]] => 0 [[5,3,3,2,2,1],[3,2,2,1,1]] => 0 [[5,3,3,2,1,1],[3,2,2,1]] => 0 [[6,4,4,3,2,1],[4,3,3,2,1]] => 0 [[4,2,1,1,1,1],[2,1]] => 0 [[5,3,2,2,2,1],[3,2,1,1,1]] => 0 [[5,3,2,2,1,1],[3,2,1,1]] => 0 [[6,4,3,3,2,1],[4,3,2,2,1]] => 0 [[5,3,2,1,1,1],[3,2,1]] => 0 [[6,4,3,2,2,1],[4,3,2,1,1]] => 0 [[6,4,3,2,1,1],[4,3,2,1]] => 0 [[7,5,4,3,2,1],[5,4,3,2,1]] => 0 [[6,6],[5]] => 0 [[7,6],[6]] => 0 [[5,5,1],[4]] => 0 [[6,6,1],[5,1]] => 0 [[6,5,1],[5]] => 0 [[7,6,1],[6,1]] => 0 [[4,4,2],[3]] => 1 [[5,5,2],[4,1]] => 0 [[6,6,2],[5,2]] => 0 [[5,4,2],[4]] => 1 [[6,5,2],[5,1]] => 0 [[7,6,2],[6,2]] => 0 [[4,4,1,1],[3]] => 0 [[5,5,2,1],[4,1,1]] => 0 [[5,5,1,1],[4,1]] => 0 [[6,6,2,1],[5,2,1]] => 0 [[5,4,1,1],[4]] => 0 [[6,5,2,1],[5,1,1]] => 0 [[6,5,1,1],[5,1]] => 0 [[7,6,2,1],[6,2,1]] => 0 [[3,3,3],[2]] => 2 [[4,4,3],[3,1]] => 1 [[5,5,3],[4,2]] => 0 [[6,6,3],[5,3]] => 0 [[4,3,3],[3]] => 2 [[5,4,3],[4,1]] => 1 [[6,5,3],[5,2]] => 0 [[7,6,3],[6,3]] => 0 [[3,3,2,1],[2]] => 1 [[4,4,3,1],[3,1,1]] => 1 [[4,4,2,1],[3,1]] => 0 [[5,5,3,1],[4,2,1]] => 0 [[5,5,2,1],[4,2]] => 0 [[6,6,3,1],[5,3,1]] => 0 [[4,3,2,1],[3]] => 1 [[5,4,3,1],[4,1,1]] => 1 [[5,4,2,1],[4,1]] => 0 [[6,5,3,1],[5,2,1]] => 0 [[6,5,2,1],[5,2]] => 0 [[7,6,3,1],[6,3,1]] => 0 [[4,4,2,2],[3,1,1]] => 0 [[5,5,3,2],[4,2,2]] => 0 [[5,5,2,2],[4,2,1]] => 0 [[6,6,3,2],[5,3,2]] => 0 [[5,4,2,2],[4,1,1]] => 0 [[6,5,3,2],[5,2,2]] => 0 [[6,5,2,2],[5,2,1]] => 0 [[7,6,3,2],[6,3,2]] => 0 [[3,3,1,1,1],[2]] => 0 [[4,4,2,2,1],[3,1,1,1]] => 0 [[4,4,2,1,1],[3,1,1]] => 0 [[5,5,3,2,1],[4,2,2,1]] => 0 [[4,4,1,1,1],[3,1]] => 0 [[5,5,2,2,1],[4,2,1,1]] => 0 [[5,5,2,1,1],[4,2,1]] => 0 [[6,6,3,2,1],[5,3,2,1]] => 0 [[4,3,1,1,1],[3]] => 0 [[5,4,2,2,1],[4,1,1,1]] => 0 [[5,4,2,1,1],[4,1,1]] => 0 [[6,5,3,2,1],[5,2,2,1]] => 0 [[5,4,1,1,1],[4,1]] => 0 [[6,5,2,2,1],[5,2,1,1]] => 0 [[6,5,2,1,1],[5,2,1]] => 0 [[7,6,3,2,1],[6,3,2,1]] => 0 [[4,4,4],[3,2]] => 1 [[5,5,4],[4,3]] => 0 [[6,6,4],[5,4]] => 0 [[5,4,4],[4,2]] => 1 [[6,5,4],[5,3]] => 0 [[7,6,4],[6,4]] => 0 [[3,3,3,1],[2,1]] => 1 [[4,4,4,1],[3,2,1]] => 1 [[4,4,3,1],[3,2]] => 0 [[5,5,4,1],[4,3,1]] => 0 [[5,5,3,1],[4,3]] => 0 [[6,6,4,1],[5,4,1]] => 0 [[4,3,3,1],[3,1]] => 1 [[5,4,4,1],[4,2,1]] => 1 [[5,4,3,1],[4,2]] => 0 [[6,5,4,1],[5,3,1]] => 0 [[6,5,3,1],[5,3]] => 0 [[7,6,4,1],[6,4,1]] => 0 [[2,2,2,2],[1]] => 2 [[3,3,3,2],[2,1,1]] => 1 [[4,4,4,2],[3,2,2]] => 1 [[3,3,2,2],[2,1]] => 1 [[4,4,3,2],[3,2,1]] => 0 [[5,5,4,2],[4,3,2]] => 0 [[4,4,2,2],[3,2]] => 1 [[5,5,3,2],[4,3,1]] => 0 [[6,6,4,2],[5,4,2]] => 0 [[3,2,2,2],[2]] => 2 [[4,3,3,2],[3,1,1]] => 1 [[5,4,4,2],[4,2,2]] => 1 [[4,3,2,2],[3,1]] => 1 [[5,4,3,2],[4,2,1]] => 0 [[6,5,4,2],[5,3,2]] => 0 [[5,4,2,2],[4,2]] => 1 [[6,5,3,2],[5,3,1]] => 0 [[7,6,4,2],[6,4,2]] => 0 [[2,2,2,1,1],[1]] => 1 [[3,3,3,2,1],[2,1,1,1]] => 1 [[3,3,3,1,1],[2,1,1]] => 1 [[4,4,4,2,1],[3,2,2,1]] => 1 [[3,3,2,1,1],[2,1]] => 0 [[4,4,3,2,1],[3,2,1,1]] => 0 [[4,4,3,1,1],[3,2,1]] => 0 [[5,5,4,2,1],[4,3,2,1]] => 0 [[4,4,2,1,1],[3,2]] => 0 [[5,5,3,2,1],[4,3,1,1]] => 0 [[5,5,3,1,1],[4,3,1]] => 0 [[6,6,4,2,1],[5,4,2,1]] => 0 [[3,2,2,1,1],[2]] => 1 [[4,3,3,2,1],[3,1,1,1]] => 1 [[4,3,3,1,1],[3,1,1]] => 1 [[5,4,4,2,1],[4,2,2,1]] => 1 [[4,3,2,1,1],[3,1]] => 0 [[5,4,3,2,1],[4,2,1,1]] => 0 [[5,4,3,1,1],[4,2,1]] => 0 [[6,5,4,2,1],[5,3,2,1]] => 0 [[5,4,2,1,1],[4,2]] => 0 [[6,5,3,2,1],[5,3,1,1]] => 0 [[6,5,3,1,1],[5,3,1]] => 0 [[7,6,4,2,1],[6,4,2,1]] => 0 [[4,4,3,3],[3,2,2]] => 0 [[5,5,4,3],[4,3,3]] => 0 [[5,5,3,3],[4,3,2]] => 0 [[6,6,4,3],[5,4,3]] => 0 [[5,4,3,3],[4,2,2]] => 0 [[6,5,4,3],[5,3,3]] => 0 [[6,5,3,3],[5,3,2]] => 0 [[7,6,4,3],[6,4,3]] => 0 [[3,3,2,2,1],[2,1,1]] => 0 [[4,4,3,3,1],[3,2,2,1]] => 0 [[4,4,3,2,1],[3,2,2]] => 0 [[5,5,4,3,1],[4,3,3,1]] => 0 [[4,4,2,2,1],[3,2,1]] => 0 [[5,5,3,3,1],[4,3,2,1]] => 0 [[5,5,3,2,1],[4,3,2]] => 0 [[6,6,4,3,1],[5,4,3,1]] => 0 [[4,3,2,2,1],[3,1,1]] => 0 [[5,4,3,3,1],[4,2,2,1]] => 0 [[5,4,3,2,1],[4,2,2]] => 0 [[6,5,4,3,1],[5,3,3,1]] => 0 [[5,4,2,2,1],[4,2,1]] => 0 [[6,5,3,3,1],[5,3,2,1]] => 0 [[6,5,3,2,1],[5,3,2]] => 0 [[7,6,4,3,1],[6,4,3,1]] => 0 [[3,3,2,2,2],[2,1,1,1]] => 0 [[4,4,3,3,2],[3,2,2,2]] => 0 [[4,4,3,2,2],[3,2,2,1]] => 0 [[5,5,4,3,2],[4,3,3,2]] => 0 [[4,4,2,2,2],[3,2,1,1]] => 0 [[5,5,3,3,2],[4,3,2,2]] => 0 [[5,5,3,2,2],[4,3,2,1]] => 0 [[6,6,4,3,2],[5,4,3,2]] => 0 [[4,3,2,2,2],[3,1,1,1]] => 0 [[5,4,3,3,2],[4,2,2,2]] => 0 [[5,4,3,2,2],[4,2,2,1]] => 0 [[6,5,4,3,2],[5,3,3,2]] => 0 [[5,4,2,2,2],[4,2,1,1]] => 0 [[6,5,3,3,2],[5,3,2,2]] => 0 [[6,5,3,2,2],[5,3,2,1]] => 0 [[7,6,4,3,2],[6,4,3,2]] => 0 [[2,2,1,1,1,1],[1]] => 0 [[3,3,2,2,2,1],[2,1,1,1,1]] => 0 [[3,3,2,2,1,1],[2,1,1,1]] => 0 [[4,4,3,3,2,1],[3,2,2,2,1]] => 0 [[3,3,2,1,1,1],[2,1,1]] => 0 [[4,4,3,2,2,1],[3,2,2,1,1]] => 0 [[4,4,3,2,1,1],[3,2,2,1]] => 0 [[5,5,4,3,2,1],[4,3,3,2,1]] => 0 [[3,3,1,1,1,1],[2,1]] => 0 [[4,4,2,2,2,1],[3,2,1,1,1]] => 0 [[4,4,2,2,1,1],[3,2,1,1]] => 0 [[5,5,3,3,2,1],[4,3,2,2,1]] => 0 [[4,4,2,1,1,1],[3,2,1]] => 0 [[5,5,3,2,2,1],[4,3,2,1,1]] => 0 [[5,5,3,2,1,1],[4,3,2,1]] => 0 [[6,6,4,3,2,1],[5,4,3,2,1]] => 0 [[3,2,1,1,1,1],[2]] => 0 [[4,3,2,2,2,1],[3,1,1,1,1]] => 0 [[4,3,2,2,1,1],[3,1,1,1]] => 0 [[5,4,3,3,2,1],[4,2,2,2,1]] => 0 [[4,3,2,1,1,1],[3,1,1]] => 0 [[5,4,3,2,2,1],[4,2,2,1,1]] => 0 [[5,4,3,2,1,1],[4,2,2,1]] => 0 [[6,5,4,3,2,1],[5,3,3,2,1]] => 0 [[4,3,1,1,1,1],[3,1]] => 0 [[5,4,2,2,2,1],[4,2,1,1,1]] => 0 [[5,4,2,2,1,1],[4,2,1,1]] => 0 [[6,5,3,3,2,1],[5,3,2,2,1]] => 0 [[5,4,2,1,1,1],[4,2,1]] => 0 [[6,5,3,2,2,1],[5,3,2,1,1]] => 0 [[6,5,3,2,1,1],[5,3,2,1]] => 0 [[7,6,4,3,2,1],[6,4,3,2,1]] => 0 [[5,5,5],[4,4]] => 0 [[6,6,5],[5,5]] => 0 [[6,5,5],[5,4]] => 0 [[7,6,5],[6,5]] => 0 [[4,4,4,1],[3,3]] => 0 [[5,5,5,1],[4,4,1]] => 0 [[5,5,4,1],[4,4]] => 0 [[6,6,5,1],[5,5,1]] => 0 [[5,4,4,1],[4,3]] => 0 [[6,5,5,1],[5,4,1]] => 0 [[6,5,4,1],[5,4]] => 0 [[7,6,5,1],[6,5,1]] => 0 [[3,3,3,2],[2,2]] => 1 [[4,4,4,2],[3,3,1]] => 0 [[5,5,5,2],[4,4,2]] => 0 [[4,4,3,2],[3,3]] => 1 [[5,5,4,2],[4,4,1]] => 0 [[6,6,5,2],[5,5,2]] => 0 [[4,3,3,2],[3,2]] => 1 [[5,4,4,2],[4,3,1]] => 0 [[6,5,5,2],[5,4,2]] => 0 [[5,4,3,2],[4,3]] => 1 [[6,5,4,2],[5,4,1]] => 0 [[7,6,5,2],[6,5,2]] => 0 [[3,3,3,1,1],[2,2]] => 0 [[4,4,4,2,1],[3,3,1,1]] => 0 [[4,4,4,1,1],[3,3,1]] => 0 [[5,5,5,2,1],[4,4,2,1]] => 0 [[4,4,3,1,1],[3,3]] => 0 [[5,5,4,2,1],[4,4,1,1]] => 0 [[5,5,4,1,1],[4,4,1]] => 0 [[6,6,5,2,1],[5,5,2,1]] => 0 [[4,3,3,1,1],[3,2]] => 0 [[5,4,4,2,1],[4,3,1,1]] => 0 [[5,4,4,1,1],[4,3,1]] => 0 [[6,5,5,2,1],[5,4,2,1]] => 0 [[5,4,3,1,1],[4,3]] => 0 [[6,5,4,2,1],[5,4,1,1]] => 0 [[6,5,4,1,1],[5,4,1]] => 0 [[7,6,5,2,1],[6,5,2,1]] => 0 [[3,3,3,3],[2,2,1]] => 1 [[4,4,4,3],[3,3,2]] => 0 [[5,5,5,3],[4,4,3]] => 0 [[4,4,3,3],[3,3,1]] => 1 [[5,5,4,3],[4,4,2]] => 0 [[6,6,5,3],[5,5,3]] => 0 [[4,3,3,3],[3,2,1]] => 1 [[5,4,4,3],[4,3,2]] => 0 [[6,5,5,3],[5,4,3]] => 0 [[5,4,3,3],[4,3,1]] => 1 [[6,5,4,3],[5,4,2]] => 0 [[7,6,5,3],[6,5,3]] => 0 [[2,2,2,2,1],[1,1]] => 1 [[3,3,3,3,1],[2,2,1,1]] => 1 [[3,3,3,2,1],[2,2,1]] => 0 [[4,4,4,3,1],[3,3,2,1]] => 0 [[4,4,4,2,1],[3,3,2]] => 0 [[5,5,5,3,1],[4,4,3,1]] => 0 [[3,3,2,2,1],[2,2]] => 1 [[4,4,3,3,1],[3,3,1,1]] => 1 [[4,4,3,2,1],[3,3,1]] => 0 [[5,5,4,3,1],[4,4,2,1]] => 0 [[5,5,4,2,1],[4,4,2]] => 0 [[6,6,5,3,1],[5,5,3,1]] => 0 [[3,2,2,2,1],[2,1]] => 1 [[4,3,3,3,1],[3,2,1,1]] => 1 [[4,3,3,2,1],[3,2,1]] => 0 [[5,4,4,3,1],[4,3,2,1]] => 0 [[5,4,4,2,1],[4,3,2]] => 0 [[6,5,5,3,1],[5,4,3,1]] => 0 [[4,3,2,2,1],[3,2]] => 1 [[5,4,3,3,1],[4,3,1,1]] => 1 [[5,4,3,2,1],[4,3,1]] => 0 [[6,5,4,3,1],[5,4,2,1]] => 0 [[6,5,4,2,1],[5,4,2]] => 0 [[7,6,5,3,1],[6,5,3,1]] => 0 [[3,3,3,2,2],[2,2,1,1]] => 0 [[4,4,4,3,2],[3,3,2,2]] => 0 [[4,4,4,2,2],[3,3,2,1]] => 0 [[5,5,5,3,2],[4,4,3,2]] => 0 [[4,4,3,2,2],[3,3,1,1]] => 0 [[5,5,4,3,2],[4,4,2,2]] => 0 [[5,5,4,2,2],[4,4,2,1]] => 0 [[6,6,5,3,2],[5,5,3,2]] => 0 [[4,3,3,2,2],[3,2,1,1]] => 0 [[5,4,4,3,2],[4,3,2,2]] => 0 [[5,4,4,2,2],[4,3,2,1]] => 0 [[6,5,5,3,2],[5,4,3,2]] => 0 [[5,4,3,2,2],[4,3,1,1]] => 0 [[6,5,4,3,2],[5,4,2,2]] => 0 [[6,5,4,2,2],[5,4,2,1]] => 0 [[7,6,5,3,2],[6,5,3,2]] => 0 [[2,2,2,1,1,1],[1,1]] => 0 [[3,3,3,2,2,1],[2,2,1,1,1]] => 0 [[3,3,3,2,1,1],[2,2,1,1]] => 0 [[4,4,4,3,2,1],[3,3,2,2,1]] => 0 [[3,3,3,1,1,1],[2,2,1]] => 0 [[4,4,4,2,2,1],[3,3,2,1,1]] => 0 [[4,4,4,2,1,1],[3,3,2,1]] => 0 [[5,5,5,3,2,1],[4,4,3,2,1]] => 0 [[3,3,2,1,1,1],[2,2]] => 0 [[4,4,3,2,2,1],[3,3,1,1,1]] => 0 [[4,4,3,2,1,1],[3,3,1,1]] => 0 [[5,5,4,3,2,1],[4,4,2,2,1]] => 0 [[4,4,3,1,1,1],[3,3,1]] => 0 [[5,5,4,2,2,1],[4,4,2,1,1]] => 0 [[5,5,4,2,1,1],[4,4,2,1]] => 0 [[6,6,5,3,2,1],[5,5,3,2,1]] => 0 [[3,2,2,1,1,1],[2,1]] => 0 [[4,3,3,2,2,1],[3,2,1,1,1]] => 0 [[4,3,3,2,1,1],[3,2,1,1]] => 0 [[5,4,4,3,2,1],[4,3,2,2,1]] => 0 [[4,3,3,1,1,1],[3,2,1]] => 0 [[5,4,4,2,2,1],[4,3,2,1,1]] => 0 [[5,4,4,2,1,1],[4,3,2,1]] => 0 [[6,5,5,3,2,1],[5,4,3,2,1]] => 0 [[4,3,2,1,1,1],[3,2]] => 0 [[5,4,3,2,2,1],[4,3,1,1,1]] => 0 [[5,4,3,2,1,1],[4,3,1,1]] => 0 [[6,5,4,3,2,1],[5,4,2,2,1]] => 0 [[5,4,3,1,1,1],[4,3,1]] => 0 [[6,5,4,2,2,1],[5,4,2,1,1]] => 0 [[6,5,4,2,1,1],[5,4,2,1]] => 0 [[7,6,5,3,2,1],[6,5,3,2,1]] => 0 [[4,4,4,4],[3,3,3]] => 0 [[5,5,5,4],[4,4,4]] => 0 [[5,5,4,4],[4,4,3]] => 0 [[6,6,5,4],[5,5,4]] => 0 [[5,4,4,4],[4,3,3]] => 0 [[6,5,5,4],[5,4,4]] => 0 [[6,5,4,4],[5,4,3]] => 0 [[7,6,5,4],[6,5,4]] => 0 [[3,3,3,3,1],[2,2,2]] => 0 [[4,4,4,4,1],[3,3,3,1]] => 0 [[4,4,4,3,1],[3,3,3]] => 0 [[5,5,5,4,1],[4,4,4,1]] => 0 [[4,4,3,3,1],[3,3,2]] => 0 [[5,5,4,4,1],[4,4,3,1]] => 0 [[5,5,4,3,1],[4,4,3]] => 0 [[6,6,5,4,1],[5,5,4,1]] => 0 [[4,3,3,3,1],[3,2,2]] => 0 [[5,4,4,4,1],[4,3,3,1]] => 0 [[5,4,4,3,1],[4,3,3]] => 0 [[6,5,5,4,1],[5,4,4,1]] => 0 [[5,4,3,3,1],[4,3,2]] => 0 [[6,5,4,4,1],[5,4,3,1]] => 0 [[6,5,4,3,1],[5,4,3]] => 0 [[7,6,5,4,1],[6,5,4,1]] => 0 [[2,2,2,2,2],[1,1,1]] => 1 [[3,3,3,3,2],[2,2,2,1]] => 0 [[4,4,4,4,2],[3,3,3,2]] => 0 [[3,3,3,2,2],[2,2,2]] => 1 [[4,4,4,3,2],[3,3,3,1]] => 0 [[5,5,5,4,2],[4,4,4,2]] => 0 [[3,3,2,2,2],[2,2,1]] => 1 [[4,4,3,3,2],[3,3,2,1]] => 0 [[5,5,4,4,2],[4,4,3,2]] => 0 [[4,4,3,2,2],[3,3,2]] => 1 [[5,5,4,3,2],[4,4,3,1]] => 0 [[6,6,5,4,2],[5,5,4,2]] => 0 [[3,2,2,2,2],[2,1,1]] => 1 [[4,3,3,3,2],[3,2,2,1]] => 0 [[5,4,4,4,2],[4,3,3,2]] => 0 [[4,3,3,2,2],[3,2,2]] => 1 [[5,4,4,3,2],[4,3,3,1]] => 0 [[6,5,5,4,2],[5,4,4,2]] => 0 [[4,3,2,2,2],[3,2,1]] => 1 [[5,4,3,3,2],[4,3,2,1]] => 0 [[6,5,4,4,2],[5,4,3,2]] => 0 [[5,4,3,2,2],[4,3,2]] => 1 [[6,5,4,3,2],[5,4,3,1]] => 0 [[7,6,5,4,2],[6,5,4,2]] => 0 [[2,2,2,2,1,1],[1,1,1]] => 0 [[3,3,3,3,2,1],[2,2,2,1,1]] => 0 [[3,3,3,3,1,1],[2,2,2,1]] => 0 [[4,4,4,4,2,1],[3,3,3,2,1]] => 0 [[3,3,3,2,1,1],[2,2,2]] => 0 [[4,4,4,3,2,1],[3,3,3,1,1]] => 0 [[4,4,4,3,1,1],[3,3,3,1]] => 0 [[5,5,5,4,2,1],[4,4,4,2,1]] => 0 [[3,3,2,2,1,1],[2,2,1]] => 0 [[4,4,3,3,2,1],[3,3,2,1,1]] => 0 [[4,4,3,3,1,1],[3,3,2,1]] => 0 [[5,5,4,4,2,1],[4,4,3,2,1]] => 0 [[4,4,3,2,1,1],[3,3,2]] => 0 [[5,5,4,3,2,1],[4,4,3,1,1]] => 0 [[5,5,4,3,1,1],[4,4,3,1]] => 0 [[6,6,5,4,2,1],[5,5,4,2,1]] => 0 [[3,2,2,2,1,1],[2,1,1]] => 0 [[4,3,3,3,2,1],[3,2,2,1,1]] => 0 [[4,3,3,3,1,1],[3,2,2,1]] => 0 [[5,4,4,4,2,1],[4,3,3,2,1]] => 0 [[4,3,3,2,1,1],[3,2,2]] => 0 [[5,4,4,3,2,1],[4,3,3,1,1]] => 0 [[5,4,4,3,1,1],[4,3,3,1]] => 0 [[6,5,5,4,2,1],[5,4,4,2,1]] => 0 [[4,3,2,2,1,1],[3,2,1]] => 0 [[5,4,3,3,2,1],[4,3,2,1,1]] => 0 [[5,4,3,3,1,1],[4,3,2,1]] => 0 [[6,5,4,4,2,1],[5,4,3,2,1]] => 0 [[5,4,3,2,1,1],[4,3,2]] => 0 [[6,5,4,3,2,1],[5,4,3,1,1]] => 0 [[6,5,4,3,1,1],[5,4,3,1]] => 0 [[7,6,5,4,2,1],[6,5,4,2,1]] => 0 [[3,3,3,3,3],[2,2,2,2]] => 0 [[4,4,4,4,3],[3,3,3,3]] => 0 [[4,4,4,3,3],[3,3,3,2]] => 0 [[5,5,5,4,3],[4,4,4,3]] => 0 [[4,4,3,3,3],[3,3,2,2]] => 0 [[5,5,4,4,3],[4,4,3,3]] => 0 [[5,5,4,3,3],[4,4,3,2]] => 0 [[6,6,5,4,3],[5,5,4,3]] => 0 [[4,3,3,3,3],[3,2,2,2]] => 0 [[5,4,4,4,3],[4,3,3,3]] => 0 [[5,4,4,3,3],[4,3,3,2]] => 0 [[6,5,5,4,3],[5,4,4,3]] => 0 [[5,4,3,3,3],[4,3,2,2]] => 0 [[6,5,4,4,3],[5,4,3,3]] => 0 [[6,5,4,3,3],[5,4,3,2]] => 0 [[7,6,5,4,3],[6,5,4,3]] => 0 [[2,2,2,2,2,1],[1,1,1,1]] => 0 [[3,3,3,3,3,1],[2,2,2,2,1]] => 0 [[3,3,3,3,2,1],[2,2,2,2]] => 0 [[4,4,4,4,3,1],[3,3,3,3,1]] => 0 [[3,3,3,2,2,1],[2,2,2,1]] => 0 [[4,4,4,3,3,1],[3,3,3,2,1]] => 0 [[4,4,4,3,2,1],[3,3,3,2]] => 0 [[5,5,5,4,3,1],[4,4,4,3,1]] => 0 [[3,3,2,2,2,1],[2,2,1,1]] => 0 [[4,4,3,3,3,1],[3,3,2,2,1]] => 0 [[4,4,3,3,2,1],[3,3,2,2]] => 0 [[5,5,4,4,3,1],[4,4,3,3,1]] => 0 [[4,4,3,2,2,1],[3,3,2,1]] => 0 [[5,5,4,3,3,1],[4,4,3,2,1]] => 0 [[5,5,4,3,2,1],[4,4,3,2]] => 0 [[6,6,5,4,3,1],[5,5,4,3,1]] => 0 [[3,2,2,2,2,1],[2,1,1,1]] => 0 [[4,3,3,3,3,1],[3,2,2,2,1]] => 0 [[4,3,3,3,2,1],[3,2,2,2]] => 0 [[5,4,4,4,3,1],[4,3,3,3,1]] => 0 [[4,3,3,2,2,1],[3,2,2,1]] => 0 [[5,4,4,3,3,1],[4,3,3,2,1]] => 0 [[5,4,4,3,2,1],[4,3,3,2]] => 0 [[6,5,5,4,3,1],[5,4,4,3,1]] => 0 [[4,3,2,2,2,1],[3,2,1,1]] => 0 [[5,4,3,3,3,1],[4,3,2,2,1]] => 0 [[5,4,3,3,2,1],[4,3,2,2]] => 0 [[6,5,4,4,3,1],[5,4,3,3,1]] => 0 [[5,4,3,2,2,1],[4,3,2,1]] => 0 [[6,5,4,3,3,1],[5,4,3,2,1]] => 0 [[6,5,4,3,2,1],[5,4,3,2]] => 0 [[7,6,5,4,3,1],[6,5,4,3,1]] => 0 [[2,2,2,2,2,2],[1,1,1,1,1]] => 0 [[3,3,3,3,3,2],[2,2,2,2,2]] => 0 [[3,3,3,3,2,2],[2,2,2,2,1]] => 0 [[4,4,4,4,3,2],[3,3,3,3,2]] => 0 [[3,3,3,2,2,2],[2,2,2,1,1]] => 0 [[4,4,4,3,3,2],[3,3,3,2,2]] => 0 [[4,4,4,3,2,2],[3,3,3,2,1]] => 0 [[5,5,5,4,3,2],[4,4,4,3,2]] => 0 [[3,3,2,2,2,2],[2,2,1,1,1]] => 0 [[4,4,3,3,3,2],[3,3,2,2,2]] => 0 [[4,4,3,3,2,2],[3,3,2,2,1]] => 0 [[5,5,4,4,3,2],[4,4,3,3,2]] => 0 [[4,4,3,2,2,2],[3,3,2,1,1]] => 0 [[5,5,4,3,3,2],[4,4,3,2,2]] => 0 [[5,5,4,3,2,2],[4,4,3,2,1]] => 0 [[6,6,5,4,3,2],[5,5,4,3,2]] => 0 [[3,2,2,2,2,2],[2,1,1,1,1]] => 0 [[4,3,3,3,3,2],[3,2,2,2,2]] => 0 [[4,3,3,3,2,2],[3,2,2,2,1]] => 0 [[5,4,4,4,3,2],[4,3,3,3,2]] => 0 [[4,3,3,2,2,2],[3,2,2,1,1]] => 0 [[5,4,4,3,3,2],[4,3,3,2,2]] => 0 [[5,4,4,3,2,2],[4,3,3,2,1]] => 0 [[6,5,5,4,3,2],[5,4,4,3,2]] => 0 [[4,3,2,2,2,2],[3,2,1,1,1]] => 0 [[5,4,3,3,3,2],[4,3,2,2,2]] => 0 [[5,4,3,3,2,2],[4,3,2,2,1]] => 0 [[6,5,4,4,3,2],[5,4,3,3,2]] => 0 [[5,4,3,2,2,2],[4,3,2,1,1]] => 0 [[6,5,4,3,3,2],[5,4,3,2,2]] => 0 [[6,5,4,3,2,2],[5,4,3,2,1]] => 0 [[7,6,5,4,3,2],[6,5,4,3,2]] => 0 [[1,1,1,1,1,1,1],[]] => 0 [[2,2,2,2,2,2,1],[1,1,1,1,1,1]] => 0 [[2,2,2,2,2,1,1],[1,1,1,1,1]] => 0 [[3,3,3,3,3,2,1],[2,2,2,2,2,1]] => 0 [[2,2,2,2,1,1,1],[1,1,1,1]] => 0 [[3,3,3,3,2,2,1],[2,2,2,2,1,1]] => 0 [[3,3,3,3,2,1,1],[2,2,2,2,1]] => 0 [[4,4,4,4,3,2,1],[3,3,3,3,2,1]] => 0 [[2,2,2,1,1,1,1],[1,1,1]] => 0 [[3,3,3,2,2,2,1],[2,2,2,1,1,1]] => 0 [[3,3,3,2,2,1,1],[2,2,2,1,1]] => 0 [[4,4,4,3,3,2,1],[3,3,3,2,2,1]] => 0 [[3,3,3,2,1,1,1],[2,2,2,1]] => 0 [[4,4,4,3,2,2,1],[3,3,3,2,1,1]] => 0 ----------------------------------------------------------------------------- Created: Sep 23, 2020 at 20:42 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Sep 23, 2020 at 20:42 by Christian Stump