************************************************************************ * 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: Mp00114 ------------------------------------------------------------------------ Map name: connectivity set ------------------------------------------------------------------------ Domain: Permutations ------------------------------------------------------------------------ Codomain: Binary words ------------------------------------------------------------------------ Description: The connectivity set of a permutation as a binary word. According to [2], also known as the global ascent set. The connectivity set is $$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$ For $n > 1$ it can also be described as the set of occurrences of the mesh pattern $$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$ or equivalently $$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$ see [3]. The permutation is connected, when the connectivity set is empty. ------------------------------------------------------------------------ References: [1] Stanley, R. P. The descent set and connectivity set of a permutation [[MathSciNet:2167418]] [[arXiv:math/0507224]] [2] Bergeron, N., Hohlweg, C., Zabrocki, M. Posets related to the connectivity set of Coxeter groups [[MathSciNet:2255139]] [[arXiv:math/0509271]] [3] Brändén, P., Claesson, A. Mesh patterns and the expansion of permutation statistics as sums of permutation patterns [[arXiv:1102.4226]] ------------------------------------------------------------------------ Code: def mapping(pi): C = [1 if all(pi[j] < pi[k] for j in range(i) for k in range(i, len(pi))) else 0 for i in range(1, len(pi))] return Words([0,1])(C) ------------------------------------------------------------------------ Map images: [1] => [1,2] => 1 [2,1] => 0 [1,2,3] => 11 [1,3,2] => 10 [2,1,3] => 01 [2,3,1] => 00 [3,1,2] => 00 [3,2,1] => 00 [1,2,3,4] => 111 [1,2,4,3] => 110 [1,3,2,4] => 101 [1,3,4,2] => 100 [1,4,2,3] => 100 [1,4,3,2] => 100 [2,1,3,4] => 011 [2,1,4,3] => 010 [2,3,1,4] => 001 [2,3,4,1] => 000 [2,4,1,3] => 000 [2,4,3,1] => 000 [3,1,2,4] => 001 [3,1,4,2] => 000 [3,2,1,4] => 001 [3,2,4,1] => 000 [3,4,1,2] => 000 [3,4,2,1] => 000 [4,1,2,3] => 000 [4,1,3,2] => 000 [4,2,1,3] => 000 [4,2,3,1] => 000 [4,3,1,2] => 000 [4,3,2,1] => 000 [1,2,3,4,5] => 1111 [1,2,3,5,4] => 1110 [1,2,4,3,5] => 1101 [1,2,4,5,3] => 1100 [1,2,5,3,4] => 1100 [1,2,5,4,3] => 1100 [1,3,2,4,5] => 1011 [1,3,2,5,4] => 1010 [1,3,4,2,5] => 1001 [1,3,4,5,2] => 1000 [1,3,5,2,4] => 1000 [1,3,5,4,2] => 1000 [1,4,2,3,5] => 1001 [1,4,2,5,3] => 1000 [1,4,3,2,5] => 1001 [1,4,3,5,2] => 1000 [1,4,5,2,3] => 1000 [1,4,5,3,2] => 1000 [1,5,2,3,4] => 1000 [1,5,2,4,3] => 1000 [1,5,3,2,4] => 1000 [1,5,3,4,2] => 1000 [1,5,4,2,3] => 1000 [1,5,4,3,2] => 1000 [2,1,3,4,5] => 0111 [2,1,3,5,4] => 0110 [2,1,4,3,5] => 0101 [2,1,4,5,3] => 0100 [2,1,5,3,4] => 0100 [2,1,5,4,3] => 0100 [2,3,1,4,5] => 0011 [2,3,1,5,4] => 0010 [2,3,4,1,5] => 0001 [2,3,4,5,1] => 0000 [2,3,5,1,4] => 0000 [2,3,5,4,1] => 0000 [2,4,1,3,5] => 0001 [2,4,1,5,3] => 0000 [2,4,3,1,5] => 0001 [2,4,3,5,1] => 0000 [2,4,5,1,3] => 0000 [2,4,5,3,1] => 0000 [2,5,1,3,4] => 0000 [2,5,1,4,3] => 0000 [2,5,3,1,4] => 0000 [2,5,3,4,1] => 0000 [2,5,4,1,3] => 0000 [2,5,4,3,1] => 0000 [3,1,2,4,5] => 0011 [3,1,2,5,4] => 0010 [3,1,4,2,5] => 0001 [3,1,4,5,2] => 0000 [3,1,5,2,4] => 0000 [3,1,5,4,2] => 0000 [3,2,1,4,5] => 0011 [3,2,1,5,4] => 0010 [3,2,4,1,5] => 0001 [3,2,4,5,1] => 0000 [3,2,5,1,4] => 0000 [3,2,5,4,1] => 0000 [3,4,1,2,5] => 0001 [3,4,1,5,2] => 0000 [3,4,2,1,5] => 0001 [3,4,2,5,1] => 0000 [3,4,5,1,2] => 0000 [3,4,5,2,1] => 0000 [3,5,1,2,4] => 0000 [3,5,1,4,2] => 0000 [3,5,2,1,4] => 0000 [3,5,2,4,1] => 0000 [3,5,4,1,2] => 0000 [3,5,4,2,1] => 0000 [4,1,2,3,5] => 0001 [4,1,2,5,3] => 0000 [4,1,3,2,5] => 0001 [4,1,3,5,2] => 0000 [4,1,5,2,3] => 0000 [4,1,5,3,2] => 0000 [4,2,1,3,5] => 0001 [4,2,1,5,3] => 0000 [4,2,3,1,5] => 0001 [4,2,3,5,1] => 0000 [4,2,5,1,3] => 0000 [4,2,5,3,1] => 0000 [4,3,1,2,5] => 0001 [4,3,1,5,2] => 0000 [4,3,2,1,5] => 0001 [4,3,2,5,1] => 0000 [4,3,5,1,2] => 0000 [4,3,5,2,1] => 0000 [4,5,1,2,3] => 0000 [4,5,1,3,2] => 0000 [4,5,2,1,3] => 0000 [4,5,2,3,1] => 0000 [4,5,3,1,2] => 0000 [4,5,3,2,1] => 0000 [5,1,2,3,4] => 0000 [5,1,2,4,3] => 0000 [5,1,3,2,4] => 0000 [5,1,3,4,2] => 0000 [5,1,4,2,3] => 0000 [5,1,4,3,2] => 0000 [5,2,1,3,4] => 0000 [5,2,1,4,3] => 0000 [5,2,3,1,4] => 0000 [5,2,3,4,1] => 0000 [5,2,4,1,3] => 0000 [5,2,4,3,1] => 0000 [5,3,1,2,4] => 0000 [5,3,1,4,2] => 0000 [5,3,2,1,4] => 0000 [5,3,2,4,1] => 0000 [5,3,4,1,2] => 0000 [5,3,4,2,1] => 0000 [5,4,1,2,3] => 0000 [5,4,1,3,2] => 0000 [5,4,2,1,3] => 0000 [5,4,2,3,1] => 0000 [5,4,3,1,2] => 0000 [5,4,3,2,1] => 0000 [1,2,3,4,5,6] => 11111 [1,2,3,4,6,5] => 11110 [1,2,3,5,4,6] => 11101 [1,2,3,5,6,4] => 11100 [1,2,3,6,4,5] => 11100 [1,2,3,6,5,4] => 11100 [1,2,4,3,5,6] => 11011 [1,2,4,3,6,5] => 11010 [1,2,4,5,3,6] => 11001 [1,2,4,5,6,3] => 11000 [1,2,4,6,3,5] => 11000 [1,2,4,6,5,3] => 11000 [1,2,5,3,4,6] => 11001 [1,2,5,3,6,4] => 11000 [1,2,5,4,3,6] => 11001 [1,2,5,4,6,3] => 11000 [1,2,5,6,3,4] => 11000 [1,2,5,6,4,3] => 11000 [1,2,6,3,4,5] => 11000 [1,2,6,3,5,4] => 11000 [1,2,6,4,3,5] => 11000 [1,2,6,4,5,3] => 11000 [1,2,6,5,3,4] => 11000 [1,2,6,5,4,3] => 11000 [1,3,2,4,5,6] => 10111 [1,3,2,4,6,5] => 10110 [1,3,2,5,4,6] => 10101 [1,3,2,5,6,4] => 10100 [1,3,2,6,4,5] => 10100 [1,3,2,6,5,4] => 10100 [1,3,4,2,5,6] => 10011 [1,3,4,2,6,5] => 10010 [1,3,4,5,2,6] => 10001 [1,3,4,5,6,2] => 10000 [1,3,4,6,2,5] => 10000 [1,3,4,6,5,2] => 10000 [1,3,5,2,4,6] => 10001 [1,3,5,2,6,4] => 10000 [1,3,5,4,2,6] => 10001 [1,3,5,4,6,2] => 10000 [1,3,5,6,2,4] => 10000 [1,3,5,6,4,2] => 10000 [1,3,6,2,4,5] => 10000 [1,3,6,2,5,4] => 10000 [1,3,6,4,2,5] => 10000 [1,3,6,4,5,2] => 10000 [1,3,6,5,2,4] => 10000 [1,3,6,5,4,2] => 10000 [1,4,2,3,5,6] => 10011 [1,4,2,3,6,5] => 10010 [1,4,2,5,3,6] => 10001 [1,4,2,5,6,3] => 10000 [1,4,2,6,3,5] => 10000 [1,4,2,6,5,3] => 10000 [1,4,3,2,5,6] => 10011 [1,4,3,2,6,5] => 10010 [1,4,3,5,2,6] => 10001 [1,4,3,5,6,2] => 10000 [1,4,3,6,2,5] => 10000 [1,4,3,6,5,2] => 10000 [1,4,5,2,3,6] => 10001 [1,4,5,2,6,3] => 10000 [1,4,5,3,2,6] => 10001 [1,4,5,3,6,2] => 10000 [1,4,5,6,2,3] => 10000 [1,4,5,6,3,2] => 10000 [1,4,6,2,3,5] => 10000 [1,4,6,2,5,3] => 10000 [1,4,6,3,2,5] => 10000 [1,4,6,3,5,2] => 10000 [1,4,6,5,2,3] => 10000 [1,4,6,5,3,2] => 10000 [1,5,2,3,4,6] => 10001 [1,5,2,3,6,4] => 10000 [1,5,2,4,3,6] => 10001 [1,5,2,4,6,3] => 10000 [1,5,2,6,3,4] => 10000 [1,5,2,6,4,3] => 10000 [1,5,3,2,4,6] => 10001 [1,5,3,2,6,4] => 10000 [1,5,3,4,2,6] => 10001 [1,5,3,4,6,2] => 10000 [1,5,3,6,2,4] => 10000 [1,5,3,6,4,2] => 10000 [1,5,4,2,3,6] => 10001 [1,5,4,2,6,3] => 10000 [1,5,4,3,2,6] => 10001 [1,5,4,3,6,2] => 10000 [1,5,4,6,2,3] => 10000 [1,5,4,6,3,2] => 10000 [1,5,6,2,3,4] => 10000 [1,5,6,2,4,3] => 10000 [1,5,6,3,2,4] => 10000 [1,5,6,3,4,2] => 10000 [1,5,6,4,2,3] => 10000 [1,5,6,4,3,2] => 10000 [1,6,2,3,4,5] => 10000 [1,6,2,3,5,4] => 10000 [1,6,2,4,3,5] => 10000 [1,6,2,4,5,3] => 10000 [1,6,2,5,3,4] => 10000 [1,6,2,5,4,3] => 10000 [1,6,3,2,4,5] => 10000 [1,6,3,2,5,4] => 10000 [1,6,3,4,2,5] => 10000 [1,6,3,4,5,2] => 10000 [1,6,3,5,2,4] => 10000 [1,6,3,5,4,2] => 10000 [1,6,4,2,3,5] => 10000 [1,6,4,2,5,3] => 10000 [1,6,4,3,2,5] => 10000 [1,6,4,3,5,2] => 10000 [1,6,4,5,2,3] => 10000 [1,6,4,5,3,2] => 10000 [1,6,5,2,3,4] => 10000 [1,6,5,2,4,3] => 10000 [1,6,5,3,2,4] => 10000 [1,6,5,3,4,2] => 10000 [1,6,5,4,2,3] => 10000 [1,6,5,4,3,2] => 10000 [2,1,3,4,5,6] => 01111 [2,1,3,4,6,5] => 01110 [2,1,3,5,4,6] => 01101 [2,1,3,5,6,4] => 01100 [2,1,3,6,4,5] => 01100 [2,1,3,6,5,4] => 01100 [2,1,4,3,5,6] => 01011 [2,1,4,3,6,5] => 01010 [2,1,4,5,3,6] => 01001 [2,1,4,5,6,3] => 01000 [2,1,4,6,3,5] => 01000 [2,1,4,6,5,3] => 01000 [2,1,5,3,4,6] => 01001 [2,1,5,3,6,4] => 01000 [2,1,5,4,3,6] => 01001 [2,1,5,4,6,3] => 01000 [2,1,5,6,3,4] => 01000 [2,1,5,6,4,3] => 01000 [2,1,6,3,4,5] => 01000 [2,1,6,3,5,4] => 01000 [2,1,6,4,3,5] => 01000 [2,1,6,4,5,3] => 01000 [2,1,6,5,3,4] => 01000 [2,1,6,5,4,3] => 01000 [2,3,1,4,5,6] => 00111 [2,3,1,4,6,5] => 00110 [2,3,1,5,4,6] => 00101 [2,3,1,5,6,4] => 00100 [2,3,1,6,4,5] => 00100 [2,3,1,6,5,4] => 00100 [2,3,4,1,5,6] => 00011 [2,3,4,1,6,5] => 00010 [2,3,4,5,1,6] => 00001 [2,3,4,5,6,1] => 00000 [2,3,4,6,1,5] => 00000 [2,3,4,6,5,1] => 00000 [2,3,5,1,4,6] => 00001 [2,3,5,1,6,4] => 00000 [2,3,5,4,1,6] => 00001 [2,3,5,4,6,1] => 00000 [2,3,5,6,1,4] => 00000 [2,3,5,6,4,1] => 00000 [2,3,6,1,4,5] => 00000 [2,3,6,1,5,4] => 00000 [2,3,6,4,1,5] => 00000 [2,3,6,4,5,1] => 00000 [2,3,6,5,1,4] => 00000 [2,3,6,5,4,1] => 00000 [2,4,1,3,5,6] => 00011 [2,4,1,3,6,5] => 00010 [2,4,1,5,3,6] => 00001 [2,4,1,5,6,3] => 00000 [2,4,1,6,3,5] => 00000 [2,4,1,6,5,3] => 00000 [2,4,3,1,5,6] => 00011 [2,4,3,1,6,5] => 00010 [2,4,3,5,1,6] => 00001 [2,4,3,5,6,1] => 00000 [2,4,3,6,1,5] => 00000 [2,4,3,6,5,1] => 00000 [2,4,5,1,3,6] => 00001 [2,4,5,1,6,3] => 00000 [2,4,5,3,1,6] => 00001 [2,4,5,3,6,1] => 00000 [2,4,5,6,1,3] => 00000 [2,4,5,6,3,1] => 00000 [2,4,6,1,3,5] => 00000 [2,4,6,1,5,3] => 00000 [2,4,6,3,1,5] => 00000 [2,4,6,3,5,1] => 00000 [2,4,6,5,1,3] => 00000 [2,4,6,5,3,1] => 00000 [2,5,1,3,4,6] => 00001 [2,5,1,3,6,4] => 00000 [2,5,1,4,3,6] => 00001 [2,5,1,4,6,3] => 00000 [2,5,1,6,3,4] => 00000 [2,5,1,6,4,3] => 00000 [2,5,3,1,4,6] => 00001 [2,5,3,1,6,4] => 00000 [2,5,3,4,1,6] => 00001 [2,5,3,4,6,1] => 00000 [2,5,3,6,1,4] => 00000 [2,5,3,6,4,1] => 00000 [2,5,4,1,3,6] => 00001 [2,5,4,1,6,3] => 00000 [2,5,4,3,1,6] => 00001 [2,5,4,3,6,1] => 00000 [2,5,4,6,1,3] => 00000 [2,5,4,6,3,1] => 00000 [2,5,6,1,3,4] => 00000 [2,5,6,1,4,3] => 00000 [2,5,6,3,1,4] => 00000 [2,5,6,3,4,1] => 00000 [2,5,6,4,1,3] => 00000 [2,5,6,4,3,1] => 00000 [2,6,1,3,4,5] => 00000 [2,6,1,3,5,4] => 00000 [2,6,1,4,3,5] => 00000 [2,6,1,4,5,3] => 00000 [2,6,1,5,3,4] => 00000 [2,6,1,5,4,3] => 00000 [2,6,3,1,4,5] => 00000 [2,6,3,1,5,4] => 00000 [2,6,3,4,1,5] => 00000 [2,6,3,4,5,1] => 00000 [2,6,3,5,1,4] => 00000 [2,6,3,5,4,1] => 00000 [2,6,4,1,3,5] => 00000 [2,6,4,1,5,3] => 00000 [2,6,4,3,1,5] => 00000 [2,6,4,3,5,1] => 00000 [2,6,4,5,1,3] => 00000 [2,6,4,5,3,1] => 00000 [2,6,5,1,3,4] => 00000 [2,6,5,1,4,3] => 00000 [2,6,5,3,1,4] => 00000 [2,6,5,3,4,1] => 00000 [2,6,5,4,1,3] => 00000 [2,6,5,4,3,1] => 00000 [3,1,2,4,5,6] => 00111 [3,1,2,4,6,5] => 00110 [3,1,2,5,4,6] => 00101 [3,1,2,5,6,4] => 00100 [3,1,2,6,4,5] => 00100 [3,1,2,6,5,4] => 00100 [3,1,4,2,5,6] => 00011 [3,1,4,2,6,5] => 00010 [3,1,4,5,2,6] => 00001 [3,1,4,5,6,2] => 00000 [3,1,4,6,2,5] => 00000 [3,1,4,6,5,2] => 00000 [3,1,5,2,4,6] => 00001 [3,1,5,2,6,4] => 00000 [3,1,5,4,2,6] => 00001 [3,1,5,4,6,2] => 00000 [3,1,5,6,2,4] => 00000 [3,1,5,6,4,2] => 00000 [3,1,6,2,4,5] => 00000 [3,1,6,2,5,4] => 00000 [3,1,6,4,2,5] => 00000 [3,1,6,4,5,2] => 00000 [3,1,6,5,2,4] => 00000 [3,1,6,5,4,2] => 00000 [3,2,1,4,5,6] => 00111 [3,2,1,4,6,5] => 00110 [3,2,1,5,4,6] => 00101 [3,2,1,5,6,4] => 00100 [3,2,1,6,4,5] => 00100 [3,2,1,6,5,4] => 00100 [3,2,4,1,5,6] => 00011 [3,2,4,1,6,5] => 00010 [3,2,4,5,1,6] => 00001 [3,2,4,5,6,1] => 00000 [3,2,4,6,1,5] => 00000 [3,2,4,6,5,1] => 00000 [3,2,5,1,4,6] => 00001 [3,2,5,1,6,4] => 00000 [3,2,5,4,1,6] => 00001 [3,2,5,4,6,1] => 00000 [3,2,5,6,1,4] => 00000 [3,2,5,6,4,1] => 00000 [3,2,6,1,4,5] => 00000 [3,2,6,1,5,4] => 00000 [3,2,6,4,1,5] => 00000 [3,2,6,4,5,1] => 00000 [3,2,6,5,1,4] => 00000 [3,2,6,5,4,1] => 00000 [3,4,1,2,5,6] => 00011 [3,4,1,2,6,5] => 00010 [3,4,1,5,2,6] => 00001 [3,4,1,5,6,2] => 00000 [3,4,1,6,2,5] => 00000 [3,4,1,6,5,2] => 00000 [3,4,2,1,5,6] => 00011 [3,4,2,1,6,5] => 00010 [3,4,2,5,1,6] => 00001 [3,4,2,5,6,1] => 00000 [3,4,2,6,1,5] => 00000 [3,4,2,6,5,1] => 00000 [3,4,5,1,2,6] => 00001 [3,4,5,1,6,2] => 00000 [3,4,5,2,1,6] => 00001 [3,4,5,2,6,1] => 00000 [3,4,5,6,1,2] => 00000 [3,4,5,6,2,1] => 00000 [3,4,6,1,2,5] => 00000 [3,4,6,1,5,2] => 00000 [3,4,6,2,1,5] => 00000 [3,4,6,2,5,1] => 00000 [3,4,6,5,1,2] => 00000 [3,4,6,5,2,1] => 00000 [3,5,1,2,4,6] => 00001 [3,5,1,2,6,4] => 00000 [3,5,1,4,2,6] => 00001 [3,5,1,4,6,2] => 00000 [3,5,1,6,2,4] => 00000 [3,5,1,6,4,2] => 00000 [3,5,2,1,4,6] => 00001 [3,5,2,1,6,4] => 00000 [3,5,2,4,1,6] => 00001 [3,5,2,4,6,1] => 00000 [3,5,2,6,1,4] => 00000 [3,5,2,6,4,1] => 00000 [3,5,4,1,2,6] => 00001 [3,5,4,1,6,2] => 00000 [3,5,4,2,1,6] => 00001 [3,5,4,2,6,1] => 00000 [3,5,4,6,1,2] => 00000 [3,5,4,6,2,1] => 00000 [3,5,6,1,2,4] => 00000 [3,5,6,1,4,2] => 00000 [3,5,6,2,1,4] => 00000 [3,5,6,2,4,1] => 00000 [3,5,6,4,1,2] => 00000 [3,5,6,4,2,1] => 00000 [3,6,1,2,4,5] => 00000 [3,6,1,2,5,4] => 00000 [3,6,1,4,2,5] => 00000 [3,6,1,4,5,2] => 00000 [3,6,1,5,2,4] => 00000 [3,6,1,5,4,2] => 00000 [3,6,2,1,4,5] => 00000 [3,6,2,1,5,4] => 00000 [3,6,2,4,1,5] => 00000 [3,6,2,4,5,1] => 00000 [3,6,2,5,1,4] => 00000 [3,6,2,5,4,1] => 00000 [3,6,4,1,2,5] => 00000 [3,6,4,1,5,2] => 00000 [3,6,4,2,1,5] => 00000 [3,6,4,2,5,1] => 00000 [3,6,4,5,1,2] => 00000 [3,6,4,5,2,1] => 00000 [3,6,5,1,2,4] => 00000 [3,6,5,1,4,2] => 00000 [3,6,5,2,1,4] => 00000 [3,6,5,2,4,1] => 00000 [3,6,5,4,1,2] => 00000 [3,6,5,4,2,1] => 00000 [4,1,2,3,5,6] => 00011 [4,1,2,3,6,5] => 00010 [4,1,2,5,3,6] => 00001 [4,1,2,5,6,3] => 00000 [4,1,2,6,3,5] => 00000 [4,1,2,6,5,3] => 00000 [4,1,3,2,5,6] => 00011 [4,1,3,2,6,5] => 00010 [4,1,3,5,2,6] => 00001 [4,1,3,5,6,2] => 00000 [4,1,3,6,2,5] => 00000 [4,1,3,6,5,2] => 00000 [4,1,5,2,3,6] => 00001 [4,1,5,2,6,3] => 00000 [4,1,5,3,2,6] => 00001 [4,1,5,3,6,2] => 00000 [4,1,5,6,2,3] => 00000 [4,1,5,6,3,2] => 00000 [4,1,6,2,3,5] => 00000 [4,1,6,2,5,3] => 00000 [4,1,6,3,2,5] => 00000 [4,1,6,3,5,2] => 00000 [4,1,6,5,2,3] => 00000 [4,1,6,5,3,2] => 00000 [4,2,1,3,5,6] => 00011 [4,2,1,3,6,5] => 00010 [4,2,1,5,3,6] => 00001 [4,2,1,5,6,3] => 00000 [4,2,1,6,3,5] => 00000 [4,2,1,6,5,3] => 00000 [4,2,3,1,5,6] => 00011 [4,2,3,1,6,5] => 00010 [4,2,3,5,1,6] => 00001 [4,2,3,5,6,1] => 00000 [4,2,3,6,1,5] => 00000 [4,2,3,6,5,1] => 00000 [4,2,5,1,3,6] => 00001 [4,2,5,1,6,3] => 00000 [4,2,5,3,1,6] => 00001 [4,2,5,3,6,1] => 00000 [4,2,5,6,1,3] => 00000 [4,2,5,6,3,1] => 00000 [4,2,6,1,3,5] => 00000 [4,2,6,1,5,3] => 00000 [4,2,6,3,1,5] => 00000 [4,2,6,3,5,1] => 00000 [4,2,6,5,1,3] => 00000 [4,2,6,5,3,1] => 00000 [4,3,1,2,5,6] => 00011 [4,3,1,2,6,5] => 00010 [4,3,1,5,2,6] => 00001 [4,3,1,5,6,2] => 00000 [4,3,1,6,2,5] => 00000 [4,3,1,6,5,2] => 00000 [4,3,2,1,5,6] => 00011 [4,3,2,1,6,5] => 00010 [4,3,2,5,1,6] => 00001 [4,3,2,5,6,1] => 00000 [4,3,2,6,1,5] => 00000 [4,3,2,6,5,1] => 00000 [4,3,5,1,2,6] => 00001 [4,3,5,1,6,2] => 00000 [4,3,5,2,1,6] => 00001 [4,3,5,2,6,1] => 00000 [4,3,5,6,1,2] => 00000 [4,3,5,6,2,1] => 00000 [4,3,6,1,2,5] => 00000 [4,3,6,1,5,2] => 00000 [4,3,6,2,1,5] => 00000 [4,3,6,2,5,1] => 00000 [4,3,6,5,1,2] => 00000 [4,3,6,5,2,1] => 00000 [4,5,1,2,3,6] => 00001 [4,5,1,2,6,3] => 00000 [4,5,1,3,2,6] => 00001 [4,5,1,3,6,2] => 00000 [4,5,1,6,2,3] => 00000 [4,5,1,6,3,2] => 00000 [4,5,2,1,3,6] => 00001 [4,5,2,1,6,3] => 00000 [4,5,2,3,1,6] => 00001 [4,5,2,3,6,1] => 00000 [4,5,2,6,1,3] => 00000 [4,5,2,6,3,1] => 00000 [4,5,3,1,2,6] => 00001 [4,5,3,1,6,2] => 00000 [4,5,3,2,1,6] => 00001 [4,5,3,2,6,1] => 00000 [4,5,3,6,1,2] => 00000 [4,5,3,6,2,1] => 00000 [4,5,6,1,2,3] => 00000 [4,5,6,1,3,2] => 00000 [4,5,6,2,1,3] => 00000 [4,5,6,2,3,1] => 00000 [4,5,6,3,1,2] => 00000 [4,5,6,3,2,1] => 00000 [4,6,1,2,3,5] => 00000 [4,6,1,2,5,3] => 00000 [4,6,1,3,2,5] => 00000 [4,6,1,3,5,2] => 00000 [4,6,1,5,2,3] => 00000 [4,6,1,5,3,2] => 00000 [4,6,2,1,3,5] => 00000 [4,6,2,1,5,3] => 00000 [4,6,2,3,1,5] => 00000 [4,6,2,3,5,1] => 00000 [4,6,2,5,1,3] => 00000 [4,6,2,5,3,1] => 00000 [4,6,3,1,2,5] => 00000 [4,6,3,1,5,2] => 00000 [4,6,3,2,1,5] => 00000 [4,6,3,2,5,1] => 00000 [4,6,3,5,1,2] => 00000 [4,6,3,5,2,1] => 00000 [4,6,5,1,2,3] => 00000 [4,6,5,1,3,2] => 00000 [4,6,5,2,1,3] => 00000 [4,6,5,2,3,1] => 00000 [4,6,5,3,1,2] => 00000 [4,6,5,3,2,1] => 00000 [5,1,2,3,4,6] => 00001 [5,1,2,3,6,4] => 00000 [5,1,2,4,3,6] => 00001 [5,1,2,4,6,3] => 00000 [5,1,2,6,3,4] => 00000 [5,1,2,6,4,3] => 00000 [5,1,3,2,4,6] => 00001 [5,1,3,2,6,4] => 00000 [5,1,3,4,2,6] => 00001 [5,1,3,4,6,2] => 00000 [5,1,3,6,2,4] => 00000 [5,1,3,6,4,2] => 00000 [5,1,4,2,3,6] => 00001 [5,1,4,2,6,3] => 00000 [5,1,4,3,2,6] => 00001 [5,1,4,3,6,2] => 00000 [5,1,4,6,2,3] => 00000 [5,1,4,6,3,2] => 00000 [5,1,6,2,3,4] => 00000 [5,1,6,2,4,3] => 00000 [5,1,6,3,2,4] => 00000 [5,1,6,3,4,2] => 00000 [5,1,6,4,2,3] => 00000 [5,1,6,4,3,2] => 00000 [5,2,1,3,4,6] => 00001 [5,2,1,3,6,4] => 00000 [5,2,1,4,3,6] => 00001 [5,2,1,4,6,3] => 00000 [5,2,1,6,3,4] => 00000 [5,2,1,6,4,3] => 00000 [5,2,3,1,4,6] => 00001 [5,2,3,1,6,4] => 00000 [5,2,3,4,1,6] => 00001 [5,2,3,4,6,1] => 00000 [5,2,3,6,1,4] => 00000 [5,2,3,6,4,1] => 00000 [5,2,4,1,3,6] => 00001 [5,2,4,1,6,3] => 00000 [5,2,4,3,1,6] => 00001 [5,2,4,3,6,1] => 00000 [5,2,4,6,1,3] => 00000 [5,2,4,6,3,1] => 00000 [5,2,6,1,3,4] => 00000 [5,2,6,1,4,3] => 00000 [5,2,6,3,1,4] => 00000 [5,2,6,3,4,1] => 00000 [5,2,6,4,1,3] => 00000 [5,2,6,4,3,1] => 00000 [5,3,1,2,4,6] => 00001 [5,3,1,2,6,4] => 00000 [5,3,1,4,2,6] => 00001 [5,3,1,4,6,2] => 00000 [5,3,1,6,2,4] => 00000 [5,3,1,6,4,2] => 00000 [5,3,2,1,4,6] => 00001 [5,3,2,1,6,4] => 00000 [5,3,2,4,1,6] => 00001 [5,3,2,4,6,1] => 00000 [5,3,2,6,1,4] => 00000 [5,3,2,6,4,1] => 00000 [5,3,4,1,2,6] => 00001 [5,3,4,1,6,2] => 00000 [5,3,4,2,1,6] => 00001 [5,3,4,2,6,1] => 00000 [5,3,4,6,1,2] => 00000 [5,3,4,6,2,1] => 00000 [5,3,6,1,2,4] => 00000 [5,3,6,1,4,2] => 00000 [5,3,6,2,1,4] => 00000 [5,3,6,2,4,1] => 00000 [5,3,6,4,1,2] => 00000 [5,3,6,4,2,1] => 00000 [5,4,1,2,3,6] => 00001 [5,4,1,2,6,3] => 00000 [5,4,1,3,2,6] => 00001 [5,4,1,3,6,2] => 00000 [5,4,1,6,2,3] => 00000 [5,4,1,6,3,2] => 00000 [5,4,2,1,3,6] => 00001 [5,4,2,1,6,3] => 00000 [5,4,2,3,1,6] => 00001 [5,4,2,3,6,1] => 00000 [5,4,2,6,1,3] => 00000 [5,4,2,6,3,1] => 00000 [5,4,3,1,2,6] => 00001 [5,4,3,1,6,2] => 00000 [5,4,3,2,1,6] => 00001 [5,4,3,2,6,1] => 00000 [5,4,3,6,1,2] => 00000 [5,4,3,6,2,1] => 00000 [5,4,6,1,2,3] => 00000 [5,4,6,1,3,2] => 00000 [5,4,6,2,1,3] => 00000 [5,4,6,2,3,1] => 00000 [5,4,6,3,1,2] => 00000 [5,4,6,3,2,1] => 00000 [5,6,1,2,3,4] => 00000 [5,6,1,2,4,3] => 00000 [5,6,1,3,2,4] => 00000 [5,6,1,3,4,2] => 00000 [5,6,1,4,2,3] => 00000 [5,6,1,4,3,2] => 00000 [5,6,2,1,3,4] => 00000 [5,6,2,1,4,3] => 00000 [5,6,2,3,1,4] => 00000 [5,6,2,3,4,1] => 00000 [5,6,2,4,1,3] => 00000 [5,6,2,4,3,1] => 00000 [5,6,3,1,2,4] => 00000 [5,6,3,1,4,2] => 00000 [5,6,3,2,1,4] => 00000 [5,6,3,2,4,1] => 00000 [5,6,3,4,1,2] => 00000 [5,6,3,4,2,1] => 00000 [5,6,4,1,2,3] => 00000 [5,6,4,1,3,2] => 00000 [5,6,4,2,1,3] => 00000 [5,6,4,2,3,1] => 00000 [5,6,4,3,1,2] => 00000 [5,6,4,3,2,1] => 00000 [6,1,2,3,4,5] => 00000 [6,1,2,3,5,4] => 00000 [6,1,2,4,3,5] => 00000 [6,1,2,4,5,3] => 00000 [6,1,2,5,3,4] => 00000 [6,1,2,5,4,3] => 00000 [6,1,3,2,4,5] => 00000 [6,1,3,2,5,4] => 00000 [6,1,3,4,2,5] => 00000 [6,1,3,4,5,2] => 00000 [6,1,3,5,2,4] => 00000 [6,1,3,5,4,2] => 00000 [6,1,4,2,3,5] => 00000 [6,1,4,2,5,3] => 00000 [6,1,4,3,2,5] => 00000 [6,1,4,3,5,2] => 00000 [6,1,4,5,2,3] => 00000 [6,1,4,5,3,2] => 00000 [6,1,5,2,3,4] => 00000 [6,1,5,2,4,3] => 00000 [6,1,5,3,2,4] => 00000 [6,1,5,3,4,2] => 00000 [6,1,5,4,2,3] => 00000 [6,1,5,4,3,2] => 00000 [6,2,1,3,4,5] => 00000 [6,2,1,3,5,4] => 00000 [6,2,1,4,3,5] => 00000 [6,2,1,4,5,3] => 00000 [6,2,1,5,3,4] => 00000 [6,2,1,5,4,3] => 00000 [6,2,3,1,4,5] => 00000 [6,2,3,1,5,4] => 00000 [6,2,3,4,1,5] => 00000 [6,2,3,4,5,1] => 00000 [6,2,3,5,1,4] => 00000 [6,2,3,5,4,1] => 00000 [6,2,4,1,3,5] => 00000 [6,2,4,1,5,3] => 00000 [6,2,4,3,1,5] => 00000 [6,2,4,3,5,1] => 00000 [6,2,4,5,1,3] => 00000 [6,2,4,5,3,1] => 00000 [6,2,5,1,3,4] => 00000 [6,2,5,1,4,3] => 00000 [6,2,5,3,1,4] => 00000 [6,2,5,3,4,1] => 00000 [6,2,5,4,1,3] => 00000 [6,2,5,4,3,1] => 00000 [6,3,1,2,4,5] => 00000 [6,3,1,2,5,4] => 00000 [6,3,1,4,2,5] => 00000 [6,3,1,4,5,2] => 00000 [6,3,1,5,2,4] => 00000 [6,3,1,5,4,2] => 00000 [6,3,2,1,4,5] => 00000 [6,3,2,1,5,4] => 00000 [6,3,2,4,1,5] => 00000 [6,3,2,4,5,1] => 00000 [6,3,2,5,1,4] => 00000 [6,3,2,5,4,1] => 00000 [6,3,4,1,2,5] => 00000 [6,3,4,1,5,2] => 00000 [6,3,4,2,1,5] => 00000 [6,3,4,2,5,1] => 00000 [6,3,4,5,1,2] => 00000 [6,3,4,5,2,1] => 00000 [6,3,5,1,2,4] => 00000 [6,3,5,1,4,2] => 00000 [6,3,5,2,1,4] => 00000 [6,3,5,2,4,1] => 00000 [6,3,5,4,1,2] => 00000 [6,3,5,4,2,1] => 00000 [6,4,1,2,3,5] => 00000 [6,4,1,2,5,3] => 00000 [6,4,1,3,2,5] => 00000 [6,4,1,3,5,2] => 00000 [6,4,1,5,2,3] => 00000 [6,4,1,5,3,2] => 00000 [6,4,2,1,3,5] => 00000 [6,4,2,1,5,3] => 00000 [6,4,2,3,1,5] => 00000 [6,4,2,3,5,1] => 00000 [6,4,2,5,1,3] => 00000 [6,4,2,5,3,1] => 00000 [6,4,3,1,2,5] => 00000 [6,4,3,1,5,2] => 00000 [6,4,3,2,1,5] => 00000 [6,4,3,2,5,1] => 00000 [6,4,3,5,1,2] => 00000 [6,4,3,5,2,1] => 00000 [6,4,5,1,2,3] => 00000 [6,4,5,1,3,2] => 00000 [6,4,5,2,1,3] => 00000 [6,4,5,2,3,1] => 00000 [6,4,5,3,1,2] => 00000 [6,4,5,3,2,1] => 00000 [6,5,1,2,3,4] => 00000 [6,5,1,2,4,3] => 00000 [6,5,1,3,2,4] => 00000 [6,5,1,3,4,2] => 00000 [6,5,1,4,2,3] => 00000 [6,5,1,4,3,2] => 00000 [6,5,2,1,3,4] => 00000 [6,5,2,1,4,3] => 00000 [6,5,2,3,1,4] => 00000 [6,5,2,3,4,1] => 00000 [6,5,2,4,1,3] => 00000 [6,5,2,4,3,1] => 00000 [6,5,3,1,2,4] => 00000 [6,5,3,1,4,2] => 00000 [6,5,3,2,1,4] => 00000 [6,5,3,2,4,1] => 00000 [6,5,3,4,1,2] => 00000 [6,5,3,4,2,1] => 00000 [6,5,4,1,2,3] => 00000 [6,5,4,1,3,2] => 00000 [6,5,4,2,1,3] => 00000 [6,5,4,2,3,1] => 00000 [6,5,4,3,1,2] => 00000 [6,5,4,3,2,1] => 00000 [1,2,3,4,5,6,7] => 111111 [1,2,3,4,5,7,6] => 111110 [1,2,3,4,6,5,7] => 111101 [1,2,3,4,6,7,5] => 111100 [1,2,3,4,7,5,6] => 111100 [1,2,3,4,7,6,5] => 111100 [1,2,3,5,4,6,7] => 111011 [1,2,3,5,4,7,6] => 111010 [1,2,3,5,6,4,7] => 111001 [1,2,3,5,6,7,4] => 111000 [1,2,3,5,7,4,6] => 111000 [1,2,3,5,7,6,4] => 111000 [1,2,3,6,4,5,7] => 111001 [1,2,3,6,4,7,5] => 111000 [1,2,3,6,5,4,7] => 111001 [1,2,3,6,5,7,4] => 111000 [1,2,3,6,7,4,5] => 111000 [1,2,3,6,7,5,4] => 111000 [1,2,3,7,4,5,6] => 111000 [1,2,3,7,4,6,5] => 111000 [1,2,3,7,5,4,6] => 111000 [1,2,3,7,5,6,4] => 111000 [1,2,3,7,6,4,5] => 111000 [1,2,3,7,6,5,4] => 111000 [1,2,4,3,5,6,7] => 110111 [1,2,4,3,5,7,6] => 110110 [1,2,4,3,6,5,7] => 110101 [1,2,4,3,6,7,5] => 110100 [1,2,4,3,7,5,6] => 110100 [1,2,4,3,7,6,5] => 110100 [1,2,4,5,3,6,7] => 110011 [1,2,4,5,3,7,6] => 110010 [1,2,4,5,6,3,7] => 110001 [1,2,4,5,6,7,3] => 110000 [1,2,4,5,7,3,6] => 110000 [1,2,4,5,7,6,3] => 110000 [1,2,4,6,3,5,7] => 110001 [1,2,4,6,3,7,5] => 110000 [1,2,4,6,5,3,7] => 110001 [1,2,4,6,5,7,3] => 110000 [1,2,4,6,7,3,5] => 110000 [1,2,4,6,7,5,3] => 110000 [1,2,4,7,3,5,6] => 110000 [1,2,4,7,3,6,5] => 110000 [1,2,4,7,5,3,6] => 110000 [1,2,4,7,5,6,3] => 110000 [1,2,4,7,6,3,5] => 110000 [1,2,4,7,6,5,3] => 110000 [1,2,5,3,4,6,7] => 110011 [1,2,5,3,4,7,6] => 110010 [1,2,5,3,6,4,7] => 110001 [1,2,5,3,6,7,4] => 110000 [1,2,5,3,7,4,6] => 110000 [1,2,5,3,7,6,4] => 110000 [1,2,5,4,3,6,7] => 110011 [1,2,5,4,3,7,6] => 110010 [1,2,5,4,6,3,7] => 110001 [1,2,5,4,6,7,3] => 110000 [1,2,5,4,7,3,6] => 110000 [1,2,5,4,7,6,3] => 110000 [1,2,5,6,3,4,7] => 110001 [1,2,5,6,3,7,4] => 110000 [1,2,5,6,4,3,7] => 110001 [1,2,5,6,4,7,3] => 110000 [1,2,5,6,7,3,4] => 110000 [1,2,5,6,7,4,3] => 110000 [1,2,5,7,3,4,6] => 110000 [1,2,5,7,3,6,4] => 110000 [1,2,5,7,4,3,6] => 110000 [1,2,5,7,4,6,3] => 110000 [1,2,5,7,6,3,4] => 110000 [1,2,5,7,6,4,3] => 110000 [1,2,6,3,4,5,7] => 110001 [1,2,6,3,4,7,5] => 110000 [1,2,6,3,5,4,7] => 110001 [1,2,6,3,5,7,4] => 110000 [1,2,6,3,7,4,5] => 110000 [1,2,6,3,7,5,4] => 110000 [1,2,6,4,3,5,7] => 110001 [1,2,6,4,3,7,5] => 110000 [1,2,6,4,5,3,7] => 110001 [1,2,6,4,5,7,3] => 110000 [1,2,6,4,7,3,5] => 110000 [1,2,6,4,7,5,3] => 110000 [1,2,6,5,3,4,7] => 110001 [1,2,6,5,3,7,4] => 110000 [1,2,6,5,4,3,7] => 110001 [1,2,6,5,4,7,3] => 110000 [1,2,6,5,7,3,4] => 110000 [1,2,6,5,7,4,3] => 110000 [1,2,6,7,3,4,5] => 110000 [1,2,6,7,3,5,4] => 110000 [1,2,6,7,4,3,5] => 110000 [1,2,6,7,4,5,3] => 110000 [1,2,6,7,5,3,4] => 110000 [1,2,6,7,5,4,3] => 110000 [1,2,7,3,4,5,6] => 110000 [1,2,7,3,4,6,5] => 110000 [1,2,7,3,5,4,6] => 110000 [1,2,7,3,5,6,4] => 110000 [1,2,7,3,6,4,5] => 110000 [1,2,7,3,6,5,4] => 110000 [1,2,7,4,3,5,6] => 110000 [1,2,7,4,3,6,5] => 110000 [1,2,7,4,5,3,6] => 110000 [1,2,7,4,5,6,3] => 110000 [1,2,7,4,6,3,5] => 110000 [1,2,7,4,6,5,3] => 110000 [1,2,7,5,3,4,6] => 110000 [1,2,7,5,3,6,4] => 110000 [1,2,7,5,4,3,6] => 110000 [1,2,7,5,4,6,3] => 110000 [1,2,7,5,6,3,4] => 110000 [1,2,7,5,6,4,3] => 110000 [1,2,7,6,3,4,5] => 110000 [1,2,7,6,3,5,4] => 110000 [1,2,7,6,4,3,5] => 110000 [1,2,7,6,4,5,3] => 110000 [1,2,7,6,5,3,4] => 110000 [1,2,7,6,5,4,3] => 110000 [1,3,2,4,5,6,7] => 101111 [1,3,2,4,5,7,6] => 101110 [1,3,2,4,6,5,7] => 101101 [1,3,2,4,6,7,5] => 101100 [1,3,2,4,7,5,6] => 101100 [1,3,2,4,7,6,5] => 101100 [1,3,2,5,4,6,7] => 101011 [1,3,2,5,4,7,6] => 101010 [1,3,2,5,6,4,7] => 101001 [1,3,2,5,6,7,4] => 101000 [1,3,2,5,7,4,6] => 101000 [1,3,2,5,7,6,4] => 101000 [1,3,2,6,4,5,7] => 101001 [1,3,2,6,4,7,5] => 101000 [1,3,2,6,5,4,7] => 101001 [1,3,2,6,5,7,4] => 101000 [1,3,2,6,7,4,5] => 101000 [1,3,2,6,7,5,4] => 101000 [1,3,2,7,4,5,6] => 101000 [1,3,2,7,4,6,5] => 101000 [1,3,2,7,5,4,6] => 101000 [1,3,2,7,5,6,4] => 101000 [1,3,2,7,6,4,5] => 101000 [1,3,2,7,6,5,4] => 101000 [1,3,4,2,5,6,7] => 100111 [1,3,4,2,5,7,6] => 100110 [1,3,4,2,6,5,7] => 100101 [1,3,4,2,6,7,5] => 100100 [1,3,4,2,7,5,6] => 100100 [1,3,4,2,7,6,5] => 100100 [1,3,4,5,2,6,7] => 100011 [1,3,4,5,2,7,6] => 100010 [1,3,4,5,6,2,7] => 100001 [1,3,4,5,6,7,2] => 100000 [1,3,4,5,7,2,6] => 100000 [1,3,4,5,7,6,2] => 100000 [1,3,4,6,2,5,7] => 100001 [1,3,4,6,2,7,5] => 100000 [1,3,4,6,5,2,7] => 100001 [1,3,4,6,5,7,2] => 100000 [1,3,4,6,7,2,5] => 100000 [1,3,4,6,7,5,2] => 100000 [1,3,4,7,2,5,6] => 100000 [1,3,4,7,2,6,5] => 100000 [1,3,4,7,5,2,6] => 100000 [1,3,4,7,5,6,2] => 100000 [1,3,4,7,6,2,5] => 100000 [1,3,4,7,6,5,2] => 100000 [1,3,5,2,4,6,7] => 100011 [1,3,5,2,4,7,6] => 100010 [1,3,5,2,6,4,7] => 100001 [1,3,5,2,6,7,4] => 100000 [1,3,5,2,7,4,6] => 100000 [1,3,5,2,7,6,4] => 100000 [1,3,5,4,2,6,7] => 100011 [1,3,5,4,2,7,6] => 100010 [1,3,5,4,6,2,7] => 100001 [1,3,5,4,6,7,2] => 100000 [1,3,5,4,7,2,6] => 100000 [1,3,5,4,7,6,2] => 100000 [1,3,5,6,2,4,7] => 100001 [1,3,5,6,2,7,4] => 100000 [1,3,5,6,4,2,7] => 100001 [1,3,5,6,4,7,2] => 100000 [1,3,5,6,7,2,4] => 100000 [1,3,5,6,7,4,2] => 100000 [1,3,5,7,2,4,6] => 100000 [1,3,5,7,2,6,4] => 100000 [1,3,5,7,4,2,6] => 100000 [1,3,5,7,4,6,2] => 100000 [1,3,5,7,6,2,4] => 100000 [1,3,5,7,6,4,2] => 100000 [1,3,6,2,4,5,7] => 100001 [1,3,6,2,4,7,5] => 100000 [1,3,6,2,5,4,7] => 100001 [1,3,6,2,5,7,4] => 100000 [1,3,6,2,7,4,5] => 100000 [1,3,6,2,7,5,4] => 100000 [1,3,6,4,2,5,7] => 100001 [1,3,6,4,2,7,5] => 100000 [1,3,6,4,5,2,7] => 100001 [1,3,6,4,5,7,2] => 100000 [1,3,6,4,7,2,5] => 100000 [1,3,6,4,7,5,2] => 100000 [1,3,6,5,2,4,7] => 100001 [1,3,6,5,2,7,4] => 100000 [1,3,6,5,4,2,7] => 100001 [1,3,6,5,4,7,2] => 100000 [1,3,6,5,7,2,4] => 100000 [1,3,6,5,7,4,2] => 100000 [1,3,6,7,2,4,5] => 100000 [1,3,6,7,2,5,4] => 100000 [1,3,6,7,4,2,5] => 100000 [1,3,6,7,4,5,2] => 100000 [1,3,6,7,5,2,4] => 100000 [1,3,6,7,5,4,2] => 100000 [1,3,7,2,4,5,6] => 100000 [1,3,7,2,4,6,5] => 100000 [1,3,7,2,5,4,6] => 100000 [1,3,7,2,5,6,4] => 100000 [1,3,7,2,6,4,5] => 100000 [1,3,7,2,6,5,4] => 100000 [1,3,7,4,2,5,6] => 100000 [1,3,7,4,2,6,5] => 100000 [1,3,7,4,5,2,6] => 100000 [1,3,7,4,5,6,2] => 100000 [1,3,7,4,6,2,5] => 100000 [1,3,7,4,6,5,2] => 100000 [1,3,7,5,2,4,6] => 100000 [1,3,7,5,2,6,4] => 100000 [1,3,7,5,4,2,6] => 100000 [1,3,7,5,4,6,2] => 100000 [1,3,7,5,6,2,4] => 100000 [1,3,7,5,6,4,2] => 100000 [1,3,7,6,2,4,5] => 100000 [1,3,7,6,2,5,4] => 100000 [1,3,7,6,4,2,5] => 100000 [1,3,7,6,4,5,2] => 100000 [1,3,7,6,5,2,4] => 100000 [1,3,7,6,5,4,2] => 100000 [1,4,2,3,5,6,7] => 100111 [1,4,2,3,5,7,6] => 100110 [1,4,2,3,6,5,7] => 100101 [1,4,2,3,6,7,5] => 100100 [1,4,2,3,7,5,6] => 100100 [1,4,2,3,7,6,5] => 100100 [1,4,2,5,3,6,7] => 100011 [1,4,2,5,3,7,6] => 100010 [1,4,2,5,6,3,7] => 100001 [1,4,2,5,6,7,3] => 100000 [1,4,2,5,7,3,6] => 100000 [1,4,2,5,7,6,3] => 100000 [1,4,2,6,3,5,7] => 100001 [1,4,2,6,3,7,5] => 100000 [1,4,2,6,5,3,7] => 100001 [1,4,2,6,5,7,3] => 100000 [1,4,2,6,7,3,5] => 100000 [1,4,2,6,7,5,3] => 100000 [1,4,2,7,3,5,6] => 100000 [1,4,2,7,3,6,5] => 100000 [1,4,2,7,5,3,6] => 100000 [1,4,2,7,5,6,3] => 100000 [1,4,2,7,6,3,5] => 100000 [1,4,2,7,6,5,3] => 100000 [1,4,3,2,5,6,7] => 100111 [1,4,3,2,5,7,6] => 100110 [1,4,3,2,6,5,7] => 100101 [1,4,3,2,6,7,5] => 100100 [1,4,3,2,7,5,6] => 100100 [1,4,3,2,7,6,5] => 100100 [1,4,3,5,2,6,7] => 100011 [1,4,3,5,2,7,6] => 100010 [1,4,3,5,6,2,7] => 100001 [1,4,3,5,6,7,2] => 100000 [1,4,3,5,7,2,6] => 100000 [1,4,3,5,7,6,2] => 100000 [1,4,3,6,2,5,7] => 100001 [1,4,3,6,2,7,5] => 100000 [1,4,3,6,5,2,7] => 100001 [1,4,3,6,5,7,2] => 100000 [1,4,3,6,7,2,5] => 100000 [1,4,3,6,7,5,2] => 100000 [1,4,3,7,2,5,6] => 100000 [1,4,3,7,2,6,5] => 100000 [1,4,3,7,5,2,6] => 100000 [1,4,3,7,5,6,2] => 100000 [1,4,3,7,6,2,5] => 100000 [1,4,3,7,6,5,2] => 100000 [1,4,5,2,3,6,7] => 100011 [1,4,5,2,3,7,6] => 100010 [1,4,5,2,6,3,7] => 100001 [1,4,5,2,6,7,3] => 100000 [1,4,5,2,7,3,6] => 100000 [1,4,5,2,7,6,3] => 100000 [1,4,5,3,2,6,7] => 100011 [1,4,5,3,2,7,6] => 100010 [1,4,5,3,6,2,7] => 100001 [1,4,5,3,6,7,2] => 100000 [1,4,5,3,7,2,6] => 100000 [1,4,5,3,7,6,2] => 100000 [1,4,5,6,2,3,7] => 100001 [1,4,5,6,2,7,3] => 100000 [1,4,5,6,3,2,7] => 100001 [1,4,5,6,3,7,2] => 100000 [1,4,5,6,7,2,3] => 100000 [1,4,5,6,7,3,2] => 100000 [1,4,5,7,2,3,6] => 100000 [1,4,5,7,2,6,3] => 100000 [1,4,5,7,3,2,6] => 100000 [1,4,5,7,3,6,2] => 100000 [1,4,5,7,6,2,3] => 100000 [1,4,5,7,6,3,2] => 100000 [1,4,6,2,3,5,7] => 100001 [1,4,6,2,3,7,5] => 100000 [1,4,6,2,5,3,7] => 100001 [1,4,6,2,5,7,3] => 100000 [1,4,6,2,7,3,5] => 100000 [1,4,6,2,7,5,3] => 100000 [1,4,6,3,2,5,7] => 100001 [1,4,6,3,2,7,5] => 100000 [1,4,6,3,5,2,7] => 100001 [1,4,6,3,5,7,2] => 100000 [1,4,6,3,7,2,5] => 100000 [1,4,6,3,7,5,2] => 100000 [1,4,6,5,2,3,7] => 100001 [1,4,6,5,2,7,3] => 100000 [1,4,6,5,3,2,7] => 100001 ----------------------------------------------------------------------------- Created: Jan 29, 2020 at 13:25 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 29, 2020 at 13:25 by Martin Rubey