************************************************************************ * 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: Mp00109 ------------------------------------------------------------------------ Map name: descent word ------------------------------------------------------------------------ Domain: Permutations ------------------------------------------------------------------------ Codomain: Binary words ------------------------------------------------------------------------ Description: The descent positions of a permutation as a binary word. For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$. Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(X): if X: D = X.descents(from_zero=True) w = [1 if i in D else 0 for i in range(len(X)-1)] return Words([0,1])(w) raise ValueError("The descent word is not defined for the empty permutation") ------------------------------------------------------------------------ Map images: [1] => [1,2] => 0 [2,1] => 1 [1,2,3] => 00 [1,3,2] => 01 [2,1,3] => 10 [2,3,1] => 01 [3,1,2] => 10 [3,2,1] => 11 [1,2,3,4] => 000 [1,2,4,3] => 001 [1,3,2,4] => 010 [1,3,4,2] => 001 [1,4,2,3] => 010 [1,4,3,2] => 011 [2,1,3,4] => 100 [2,1,4,3] => 101 [2,3,1,4] => 010 [2,3,4,1] => 001 [2,4,1,3] => 010 [2,4,3,1] => 011 [3,1,2,4] => 100 [3,1,4,2] => 101 [3,2,1,4] => 110 [3,2,4,1] => 101 [3,4,1,2] => 010 [3,4,2,1] => 011 [4,1,2,3] => 100 [4,1,3,2] => 101 [4,2,1,3] => 110 [4,2,3,1] => 101 [4,3,1,2] => 110 [4,3,2,1] => 111 [1,2,3,4,5] => 0000 [1,2,3,5,4] => 0001 [1,2,4,3,5] => 0010 [1,2,4,5,3] => 0001 [1,2,5,3,4] => 0010 [1,2,5,4,3] => 0011 [1,3,2,4,5] => 0100 [1,3,2,5,4] => 0101 [1,3,4,2,5] => 0010 [1,3,4,5,2] => 0001 [1,3,5,2,4] => 0010 [1,3,5,4,2] => 0011 [1,4,2,3,5] => 0100 [1,4,2,5,3] => 0101 [1,4,3,2,5] => 0110 [1,4,3,5,2] => 0101 [1,4,5,2,3] => 0010 [1,4,5,3,2] => 0011 [1,5,2,3,4] => 0100 [1,5,2,4,3] => 0101 [1,5,3,2,4] => 0110 [1,5,3,4,2] => 0101 [1,5,4,2,3] => 0110 [1,5,4,3,2] => 0111 [2,1,3,4,5] => 1000 [2,1,3,5,4] => 1001 [2,1,4,3,5] => 1010 [2,1,4,5,3] => 1001 [2,1,5,3,4] => 1010 [2,1,5,4,3] => 1011 [2,3,1,4,5] => 0100 [2,3,1,5,4] => 0101 [2,3,4,1,5] => 0010 [2,3,4,5,1] => 0001 [2,3,5,1,4] => 0010 [2,3,5,4,1] => 0011 [2,4,1,3,5] => 0100 [2,4,1,5,3] => 0101 [2,4,3,1,5] => 0110 [2,4,3,5,1] => 0101 [2,4,5,1,3] => 0010 [2,4,5,3,1] => 0011 [2,5,1,3,4] => 0100 [2,5,1,4,3] => 0101 [2,5,3,1,4] => 0110 [2,5,3,4,1] => 0101 [2,5,4,1,3] => 0110 [2,5,4,3,1] => 0111 [3,1,2,4,5] => 1000 [3,1,2,5,4] => 1001 [3,1,4,2,5] => 1010 [3,1,4,5,2] => 1001 [3,1,5,2,4] => 1010 [3,1,5,4,2] => 1011 [3,2,1,4,5] => 1100 [3,2,1,5,4] => 1101 [3,2,4,1,5] => 1010 [3,2,4,5,1] => 1001 [3,2,5,1,4] => 1010 [3,2,5,4,1] => 1011 [3,4,1,2,5] => 0100 [3,4,1,5,2] => 0101 [3,4,2,1,5] => 0110 [3,4,2,5,1] => 0101 [3,4,5,1,2] => 0010 [3,4,5,2,1] => 0011 [3,5,1,2,4] => 0100 [3,5,1,4,2] => 0101 [3,5,2,1,4] => 0110 [3,5,2,4,1] => 0101 [3,5,4,1,2] => 0110 [3,5,4,2,1] => 0111 [4,1,2,3,5] => 1000 [4,1,2,5,3] => 1001 [4,1,3,2,5] => 1010 [4,1,3,5,2] => 1001 [4,1,5,2,3] => 1010 [4,1,5,3,2] => 1011 [4,2,1,3,5] => 1100 [4,2,1,5,3] => 1101 [4,2,3,1,5] => 1010 [4,2,3,5,1] => 1001 [4,2,5,1,3] => 1010 [4,2,5,3,1] => 1011 [4,3,1,2,5] => 1100 [4,3,1,5,2] => 1101 [4,3,2,1,5] => 1110 [4,3,2,5,1] => 1101 [4,3,5,1,2] => 1010 [4,3,5,2,1] => 1011 [4,5,1,2,3] => 0100 [4,5,1,3,2] => 0101 [4,5,2,1,3] => 0110 [4,5,2,3,1] => 0101 [4,5,3,1,2] => 0110 [4,5,3,2,1] => 0111 [5,1,2,3,4] => 1000 [5,1,2,4,3] => 1001 [5,1,3,2,4] => 1010 [5,1,3,4,2] => 1001 [5,1,4,2,3] => 1010 [5,1,4,3,2] => 1011 [5,2,1,3,4] => 1100 [5,2,1,4,3] => 1101 [5,2,3,1,4] => 1010 [5,2,3,4,1] => 1001 [5,2,4,1,3] => 1010 [5,2,4,3,1] => 1011 [5,3,1,2,4] => 1100 [5,3,1,4,2] => 1101 [5,3,2,1,4] => 1110 [5,3,2,4,1] => 1101 [5,3,4,1,2] => 1010 [5,3,4,2,1] => 1011 [5,4,1,2,3] => 1100 [5,4,1,3,2] => 1101 [5,4,2,1,3] => 1110 [5,4,2,3,1] => 1101 [5,4,3,1,2] => 1110 [5,4,3,2,1] => 1111 [1,2,3,4,5,6] => 00000 [1,2,3,4,6,5] => 00001 [1,2,3,5,4,6] => 00010 [1,2,3,5,6,4] => 00001 [1,2,3,6,4,5] => 00010 [1,2,3,6,5,4] => 00011 [1,2,4,3,5,6] => 00100 [1,2,4,3,6,5] => 00101 [1,2,4,5,3,6] => 00010 [1,2,4,5,6,3] => 00001 [1,2,4,6,3,5] => 00010 [1,2,4,6,5,3] => 00011 [1,2,5,3,4,6] => 00100 [1,2,5,3,6,4] => 00101 [1,2,5,4,3,6] => 00110 [1,2,5,4,6,3] => 00101 [1,2,5,6,3,4] => 00010 [1,2,5,6,4,3] => 00011 [1,2,6,3,4,5] => 00100 [1,2,6,3,5,4] => 00101 [1,2,6,4,3,5] => 00110 [1,2,6,4,5,3] => 00101 [1,2,6,5,3,4] => 00110 [1,2,6,5,4,3] => 00111 [1,3,2,4,5,6] => 01000 [1,3,2,4,6,5] => 01001 [1,3,2,5,4,6] => 01010 [1,3,2,5,6,4] => 01001 [1,3,2,6,4,5] => 01010 [1,3,2,6,5,4] => 01011 [1,3,4,2,5,6] => 00100 [1,3,4,2,6,5] => 00101 [1,3,4,5,2,6] => 00010 [1,3,4,5,6,2] => 00001 [1,3,4,6,2,5] => 00010 [1,3,4,6,5,2] => 00011 [1,3,5,2,4,6] => 00100 [1,3,5,2,6,4] => 00101 [1,3,5,4,2,6] => 00110 [1,3,5,4,6,2] => 00101 [1,3,5,6,2,4] => 00010 [1,3,5,6,4,2] => 00011 [1,3,6,2,4,5] => 00100 [1,3,6,2,5,4] => 00101 [1,3,6,4,2,5] => 00110 [1,3,6,4,5,2] => 00101 [1,3,6,5,2,4] => 00110 [1,3,6,5,4,2] => 00111 [1,4,2,3,5,6] => 01000 [1,4,2,3,6,5] => 01001 [1,4,2,5,3,6] => 01010 [1,4,2,5,6,3] => 01001 [1,4,2,6,3,5] => 01010 [1,4,2,6,5,3] => 01011 [1,4,3,2,5,6] => 01100 [1,4,3,2,6,5] => 01101 [1,4,3,5,2,6] => 01010 [1,4,3,5,6,2] => 01001 [1,4,3,6,2,5] => 01010 [1,4,3,6,5,2] => 01011 [1,4,5,2,3,6] => 00100 [1,4,5,2,6,3] => 00101 [1,4,5,3,2,6] => 00110 [1,4,5,3,6,2] => 00101 [1,4,5,6,2,3] => 00010 [1,4,5,6,3,2] => 00011 [1,4,6,2,3,5] => 00100 [1,4,6,2,5,3] => 00101 [1,4,6,3,2,5] => 00110 [1,4,6,3,5,2] => 00101 [1,4,6,5,2,3] => 00110 [1,4,6,5,3,2] => 00111 [1,5,2,3,4,6] => 01000 [1,5,2,3,6,4] => 01001 [1,5,2,4,3,6] => 01010 [1,5,2,4,6,3] => 01001 [1,5,2,6,3,4] => 01010 [1,5,2,6,4,3] => 01011 [1,5,3,2,4,6] => 01100 [1,5,3,2,6,4] => 01101 [1,5,3,4,2,6] => 01010 [1,5,3,4,6,2] => 01001 [1,5,3,6,2,4] => 01010 [1,5,3,6,4,2] => 01011 [1,5,4,2,3,6] => 01100 [1,5,4,2,6,3] => 01101 [1,5,4,3,2,6] => 01110 [1,5,4,3,6,2] => 01101 [1,5,4,6,2,3] => 01010 [1,5,4,6,3,2] => 01011 [1,5,6,2,3,4] => 00100 [1,5,6,2,4,3] => 00101 [1,5,6,3,2,4] => 00110 [1,5,6,3,4,2] => 00101 [1,5,6,4,2,3] => 00110 [1,5,6,4,3,2] => 00111 [1,6,2,3,4,5] => 01000 [1,6,2,3,5,4] => 01001 [1,6,2,4,3,5] => 01010 [1,6,2,4,5,3] => 01001 [1,6,2,5,3,4] => 01010 [1,6,2,5,4,3] => 01011 [1,6,3,2,4,5] => 01100 [1,6,3,2,5,4] => 01101 [1,6,3,4,2,5] => 01010 [1,6,3,4,5,2] => 01001 [1,6,3,5,2,4] => 01010 [1,6,3,5,4,2] => 01011 [1,6,4,2,3,5] => 01100 [1,6,4,2,5,3] => 01101 [1,6,4,3,2,5] => 01110 [1,6,4,3,5,2] => 01101 [1,6,4,5,2,3] => 01010 [1,6,4,5,3,2] => 01011 [1,6,5,2,3,4] => 01100 [1,6,5,2,4,3] => 01101 [1,6,5,3,2,4] => 01110 [1,6,5,3,4,2] => 01101 [1,6,5,4,2,3] => 01110 [1,6,5,4,3,2] => 01111 [2,1,3,4,5,6] => 10000 [2,1,3,4,6,5] => 10001 [2,1,3,5,4,6] => 10010 [2,1,3,5,6,4] => 10001 [2,1,3,6,4,5] => 10010 [2,1,3,6,5,4] => 10011 [2,1,4,3,5,6] => 10100 [2,1,4,3,6,5] => 10101 [2,1,4,5,3,6] => 10010 [2,1,4,5,6,3] => 10001 [2,1,4,6,3,5] => 10010 [2,1,4,6,5,3] => 10011 [2,1,5,3,4,6] => 10100 [2,1,5,3,6,4] => 10101 [2,1,5,4,3,6] => 10110 [2,1,5,4,6,3] => 10101 [2,1,5,6,3,4] => 10010 [2,1,5,6,4,3] => 10011 [2,1,6,3,4,5] => 10100 [2,1,6,3,5,4] => 10101 [2,1,6,4,3,5] => 10110 [2,1,6,4,5,3] => 10101 [2,1,6,5,3,4] => 10110 [2,1,6,5,4,3] => 10111 [2,3,1,4,5,6] => 01000 [2,3,1,4,6,5] => 01001 [2,3,1,5,4,6] => 01010 [2,3,1,5,6,4] => 01001 [2,3,1,6,4,5] => 01010 [2,3,1,6,5,4] => 01011 [2,3,4,1,5,6] => 00100 [2,3,4,1,6,5] => 00101 [2,3,4,5,1,6] => 00010 [2,3,4,5,6,1] => 00001 [2,3,4,6,1,5] => 00010 [2,3,4,6,5,1] => 00011 [2,3,5,1,4,6] => 00100 [2,3,5,1,6,4] => 00101 [2,3,5,4,1,6] => 00110 [2,3,5,4,6,1] => 00101 [2,3,5,6,1,4] => 00010 [2,3,5,6,4,1] => 00011 [2,3,6,1,4,5] => 00100 [2,3,6,1,5,4] => 00101 [2,3,6,4,1,5] => 00110 [2,3,6,4,5,1] => 00101 [2,3,6,5,1,4] => 00110 [2,3,6,5,4,1] => 00111 [2,4,1,3,5,6] => 01000 [2,4,1,3,6,5] => 01001 [2,4,1,5,3,6] => 01010 [2,4,1,5,6,3] => 01001 [2,4,1,6,3,5] => 01010 [2,4,1,6,5,3] => 01011 [2,4,3,1,5,6] => 01100 [2,4,3,1,6,5] => 01101 [2,4,3,5,1,6] => 01010 [2,4,3,5,6,1] => 01001 [2,4,3,6,1,5] => 01010 [2,4,3,6,5,1] => 01011 [2,4,5,1,3,6] => 00100 [2,4,5,1,6,3] => 00101 [2,4,5,3,1,6] => 00110 [2,4,5,3,6,1] => 00101 [2,4,5,6,1,3] => 00010 [2,4,5,6,3,1] => 00011 [2,4,6,1,3,5] => 00100 [2,4,6,1,5,3] => 00101 [2,4,6,3,1,5] => 00110 [2,4,6,3,5,1] => 00101 [2,4,6,5,1,3] => 00110 [2,4,6,5,3,1] => 00111 [2,5,1,3,4,6] => 01000 [2,5,1,3,6,4] => 01001 [2,5,1,4,3,6] => 01010 [2,5,1,4,6,3] => 01001 [2,5,1,6,3,4] => 01010 [2,5,1,6,4,3] => 01011 [2,5,3,1,4,6] => 01100 [2,5,3,1,6,4] => 01101 [2,5,3,4,1,6] => 01010 [2,5,3,4,6,1] => 01001 [2,5,3,6,1,4] => 01010 [2,5,3,6,4,1] => 01011 [2,5,4,1,3,6] => 01100 [2,5,4,1,6,3] => 01101 [2,5,4,3,1,6] => 01110 [2,5,4,3,6,1] => 01101 [2,5,4,6,1,3] => 01010 [2,5,4,6,3,1] => 01011 [2,5,6,1,3,4] => 00100 [2,5,6,1,4,3] => 00101 [2,5,6,3,1,4] => 00110 [2,5,6,3,4,1] => 00101 [2,5,6,4,1,3] => 00110 [2,5,6,4,3,1] => 00111 [2,6,1,3,4,5] => 01000 [2,6,1,3,5,4] => 01001 [2,6,1,4,3,5] => 01010 [2,6,1,4,5,3] => 01001 [2,6,1,5,3,4] => 01010 [2,6,1,5,4,3] => 01011 [2,6,3,1,4,5] => 01100 [2,6,3,1,5,4] => 01101 [2,6,3,4,1,5] => 01010 [2,6,3,4,5,1] => 01001 [2,6,3,5,1,4] => 01010 [2,6,3,5,4,1] => 01011 [2,6,4,1,3,5] => 01100 [2,6,4,1,5,3] => 01101 [2,6,4,3,1,5] => 01110 [2,6,4,3,5,1] => 01101 [2,6,4,5,1,3] => 01010 [2,6,4,5,3,1] => 01011 [2,6,5,1,3,4] => 01100 [2,6,5,1,4,3] => 01101 [2,6,5,3,1,4] => 01110 [2,6,5,3,4,1] => 01101 [2,6,5,4,1,3] => 01110 [2,6,5,4,3,1] => 01111 [3,1,2,4,5,6] => 10000 [3,1,2,4,6,5] => 10001 [3,1,2,5,4,6] => 10010 [3,1,2,5,6,4] => 10001 [3,1,2,6,4,5] => 10010 [3,1,2,6,5,4] => 10011 [3,1,4,2,5,6] => 10100 [3,1,4,2,6,5] => 10101 [3,1,4,5,2,6] => 10010 [3,1,4,5,6,2] => 10001 [3,1,4,6,2,5] => 10010 [3,1,4,6,5,2] => 10011 [3,1,5,2,4,6] => 10100 [3,1,5,2,6,4] => 10101 [3,1,5,4,2,6] => 10110 [3,1,5,4,6,2] => 10101 [3,1,5,6,2,4] => 10010 [3,1,5,6,4,2] => 10011 [3,1,6,2,4,5] => 10100 [3,1,6,2,5,4] => 10101 [3,1,6,4,2,5] => 10110 [3,1,6,4,5,2] => 10101 [3,1,6,5,2,4] => 10110 [3,1,6,5,4,2] => 10111 [3,2,1,4,5,6] => 11000 [3,2,1,4,6,5] => 11001 [3,2,1,5,4,6] => 11010 [3,2,1,5,6,4] => 11001 [3,2,1,6,4,5] => 11010 [3,2,1,6,5,4] => 11011 [3,2,4,1,5,6] => 10100 [3,2,4,1,6,5] => 10101 [3,2,4,5,1,6] => 10010 [3,2,4,5,6,1] => 10001 [3,2,4,6,1,5] => 10010 [3,2,4,6,5,1] => 10011 [3,2,5,1,4,6] => 10100 [3,2,5,1,6,4] => 10101 [3,2,5,4,1,6] => 10110 [3,2,5,4,6,1] => 10101 [3,2,5,6,1,4] => 10010 [3,2,5,6,4,1] => 10011 [3,2,6,1,4,5] => 10100 [3,2,6,1,5,4] => 10101 [3,2,6,4,1,5] => 10110 [3,2,6,4,5,1] => 10101 [3,2,6,5,1,4] => 10110 [3,2,6,5,4,1] => 10111 [3,4,1,2,5,6] => 01000 [3,4,1,2,6,5] => 01001 [3,4,1,5,2,6] => 01010 [3,4,1,5,6,2] => 01001 [3,4,1,6,2,5] => 01010 [3,4,1,6,5,2] => 01011 [3,4,2,1,5,6] => 01100 [3,4,2,1,6,5] => 01101 [3,4,2,5,1,6] => 01010 [3,4,2,5,6,1] => 01001 [3,4,2,6,1,5] => 01010 [3,4,2,6,5,1] => 01011 [3,4,5,1,2,6] => 00100 [3,4,5,1,6,2] => 00101 [3,4,5,2,1,6] => 00110 [3,4,5,2,6,1] => 00101 [3,4,5,6,1,2] => 00010 [3,4,5,6,2,1] => 00011 [3,4,6,1,2,5] => 00100 [3,4,6,1,5,2] => 00101 [3,4,6,2,1,5] => 00110 [3,4,6,2,5,1] => 00101 [3,4,6,5,1,2] => 00110 [3,4,6,5,2,1] => 00111 [3,5,1,2,4,6] => 01000 [3,5,1,2,6,4] => 01001 [3,5,1,4,2,6] => 01010 [3,5,1,4,6,2] => 01001 [3,5,1,6,2,4] => 01010 [3,5,1,6,4,2] => 01011 [3,5,2,1,4,6] => 01100 [3,5,2,1,6,4] => 01101 [3,5,2,4,1,6] => 01010 [3,5,2,4,6,1] => 01001 [3,5,2,6,1,4] => 01010 [3,5,2,6,4,1] => 01011 [3,5,4,1,2,6] => 01100 [3,5,4,1,6,2] => 01101 [3,5,4,2,1,6] => 01110 [3,5,4,2,6,1] => 01101 [3,5,4,6,1,2] => 01010 [3,5,4,6,2,1] => 01011 [3,5,6,1,2,4] => 00100 [3,5,6,1,4,2] => 00101 [3,5,6,2,1,4] => 00110 [3,5,6,2,4,1] => 00101 [3,5,6,4,1,2] => 00110 [3,5,6,4,2,1] => 00111 [3,6,1,2,4,5] => 01000 [3,6,1,2,5,4] => 01001 [3,6,1,4,2,5] => 01010 [3,6,1,4,5,2] => 01001 [3,6,1,5,2,4] => 01010 [3,6,1,5,4,2] => 01011 [3,6,2,1,4,5] => 01100 [3,6,2,1,5,4] => 01101 [3,6,2,4,1,5] => 01010 [3,6,2,4,5,1] => 01001 [3,6,2,5,1,4] => 01010 [3,6,2,5,4,1] => 01011 [3,6,4,1,2,5] => 01100 [3,6,4,1,5,2] => 01101 [3,6,4,2,1,5] => 01110 [3,6,4,2,5,1] => 01101 [3,6,4,5,1,2] => 01010 [3,6,4,5,2,1] => 01011 [3,6,5,1,2,4] => 01100 [3,6,5,1,4,2] => 01101 [3,6,5,2,1,4] => 01110 [3,6,5,2,4,1] => 01101 [3,6,5,4,1,2] => 01110 [3,6,5,4,2,1] => 01111 [4,1,2,3,5,6] => 10000 [4,1,2,3,6,5] => 10001 [4,1,2,5,3,6] => 10010 [4,1,2,5,6,3] => 10001 [4,1,2,6,3,5] => 10010 [4,1,2,6,5,3] => 10011 [4,1,3,2,5,6] => 10100 [4,1,3,2,6,5] => 10101 [4,1,3,5,2,6] => 10010 [4,1,3,5,6,2] => 10001 [4,1,3,6,2,5] => 10010 [4,1,3,6,5,2] => 10011 [4,1,5,2,3,6] => 10100 [4,1,5,2,6,3] => 10101 [4,1,5,3,2,6] => 10110 [4,1,5,3,6,2] => 10101 [4,1,5,6,2,3] => 10010 [4,1,5,6,3,2] => 10011 [4,1,6,2,3,5] => 10100 [4,1,6,2,5,3] => 10101 [4,1,6,3,2,5] => 10110 [4,1,6,3,5,2] => 10101 [4,1,6,5,2,3] => 10110 [4,1,6,5,3,2] => 10111 [4,2,1,3,5,6] => 11000 [4,2,1,3,6,5] => 11001 [4,2,1,5,3,6] => 11010 [4,2,1,5,6,3] => 11001 [4,2,1,6,3,5] => 11010 [4,2,1,6,5,3] => 11011 [4,2,3,1,5,6] => 10100 [4,2,3,1,6,5] => 10101 [4,2,3,5,1,6] => 10010 [4,2,3,5,6,1] => 10001 [4,2,3,6,1,5] => 10010 [4,2,3,6,5,1] => 10011 [4,2,5,1,3,6] => 10100 [4,2,5,1,6,3] => 10101 [4,2,5,3,1,6] => 10110 [4,2,5,3,6,1] => 10101 [4,2,5,6,1,3] => 10010 [4,2,5,6,3,1] => 10011 [4,2,6,1,3,5] => 10100 [4,2,6,1,5,3] => 10101 [4,2,6,3,1,5] => 10110 [4,2,6,3,5,1] => 10101 [4,2,6,5,1,3] => 10110 [4,2,6,5,3,1] => 10111 [4,3,1,2,5,6] => 11000 [4,3,1,2,6,5] => 11001 [4,3,1,5,2,6] => 11010 [4,3,1,5,6,2] => 11001 [4,3,1,6,2,5] => 11010 [4,3,1,6,5,2] => 11011 [4,3,2,1,5,6] => 11100 [4,3,2,1,6,5] => 11101 [4,3,2,5,1,6] => 11010 [4,3,2,5,6,1] => 11001 [4,3,2,6,1,5] => 11010 [4,3,2,6,5,1] => 11011 [4,3,5,1,2,6] => 10100 [4,3,5,1,6,2] => 10101 [4,3,5,2,1,6] => 10110 [4,3,5,2,6,1] => 10101 [4,3,5,6,1,2] => 10010 [4,3,5,6,2,1] => 10011 [4,3,6,1,2,5] => 10100 [4,3,6,1,5,2] => 10101 [4,3,6,2,1,5] => 10110 [4,3,6,2,5,1] => 10101 [4,3,6,5,1,2] => 10110 [4,3,6,5,2,1] => 10111 [4,5,1,2,3,6] => 01000 [4,5,1,2,6,3] => 01001 [4,5,1,3,2,6] => 01010 [4,5,1,3,6,2] => 01001 [4,5,1,6,2,3] => 01010 [4,5,1,6,3,2] => 01011 [4,5,2,1,3,6] => 01100 [4,5,2,1,6,3] => 01101 [4,5,2,3,1,6] => 01010 [4,5,2,3,6,1] => 01001 [4,5,2,6,1,3] => 01010 [4,5,2,6,3,1] => 01011 [4,5,3,1,2,6] => 01100 [4,5,3,1,6,2] => 01101 [4,5,3,2,1,6] => 01110 [4,5,3,2,6,1] => 01101 [4,5,3,6,1,2] => 01010 [4,5,3,6,2,1] => 01011 [4,5,6,1,2,3] => 00100 [4,5,6,1,3,2] => 00101 [4,5,6,2,1,3] => 00110 [4,5,6,2,3,1] => 00101 [4,5,6,3,1,2] => 00110 [4,5,6,3,2,1] => 00111 [4,6,1,2,3,5] => 01000 [4,6,1,2,5,3] => 01001 [4,6,1,3,2,5] => 01010 [4,6,1,3,5,2] => 01001 [4,6,1,5,2,3] => 01010 [4,6,1,5,3,2] => 01011 [4,6,2,1,3,5] => 01100 [4,6,2,1,5,3] => 01101 [4,6,2,3,1,5] => 01010 [4,6,2,3,5,1] => 01001 [4,6,2,5,1,3] => 01010 [4,6,2,5,3,1] => 01011 [4,6,3,1,2,5] => 01100 [4,6,3,1,5,2] => 01101 [4,6,3,2,1,5] => 01110 [4,6,3,2,5,1] => 01101 [4,6,3,5,1,2] => 01010 [4,6,3,5,2,1] => 01011 [4,6,5,1,2,3] => 01100 [4,6,5,1,3,2] => 01101 [4,6,5,2,1,3] => 01110 [4,6,5,2,3,1] => 01101 [4,6,5,3,1,2] => 01110 [4,6,5,3,2,1] => 01111 [5,1,2,3,4,6] => 10000 [5,1,2,3,6,4] => 10001 [5,1,2,4,3,6] => 10010 [5,1,2,4,6,3] => 10001 [5,1,2,6,3,4] => 10010 [5,1,2,6,4,3] => 10011 [5,1,3,2,4,6] => 10100 [5,1,3,2,6,4] => 10101 [5,1,3,4,2,6] => 10010 [5,1,3,4,6,2] => 10001 [5,1,3,6,2,4] => 10010 [5,1,3,6,4,2] => 10011 [5,1,4,2,3,6] => 10100 [5,1,4,2,6,3] => 10101 [5,1,4,3,2,6] => 10110 [5,1,4,3,6,2] => 10101 [5,1,4,6,2,3] => 10010 [5,1,4,6,3,2] => 10011 [5,1,6,2,3,4] => 10100 [5,1,6,2,4,3] => 10101 [5,1,6,3,2,4] => 10110 [5,1,6,3,4,2] => 10101 [5,1,6,4,2,3] => 10110 [5,1,6,4,3,2] => 10111 [5,2,1,3,4,6] => 11000 [5,2,1,3,6,4] => 11001 [5,2,1,4,3,6] => 11010 [5,2,1,4,6,3] => 11001 [5,2,1,6,3,4] => 11010 [5,2,1,6,4,3] => 11011 [5,2,3,1,4,6] => 10100 [5,2,3,1,6,4] => 10101 [5,2,3,4,1,6] => 10010 [5,2,3,4,6,1] => 10001 [5,2,3,6,1,4] => 10010 [5,2,3,6,4,1] => 10011 [5,2,4,1,3,6] => 10100 [5,2,4,1,6,3] => 10101 [5,2,4,3,1,6] => 10110 [5,2,4,3,6,1] => 10101 [5,2,4,6,1,3] => 10010 [5,2,4,6,3,1] => 10011 [5,2,6,1,3,4] => 10100 [5,2,6,1,4,3] => 10101 [5,2,6,3,1,4] => 10110 [5,2,6,3,4,1] => 10101 [5,2,6,4,1,3] => 10110 [5,2,6,4,3,1] => 10111 [5,3,1,2,4,6] => 11000 [5,3,1,2,6,4] => 11001 [5,3,1,4,2,6] => 11010 [5,3,1,4,6,2] => 11001 [5,3,1,6,2,4] => 11010 [5,3,1,6,4,2] => 11011 [5,3,2,1,4,6] => 11100 [5,3,2,1,6,4] => 11101 [5,3,2,4,1,6] => 11010 [5,3,2,4,6,1] => 11001 [5,3,2,6,1,4] => 11010 [5,3,2,6,4,1] => 11011 [5,3,4,1,2,6] => 10100 [5,3,4,1,6,2] => 10101 [5,3,4,2,1,6] => 10110 [5,3,4,2,6,1] => 10101 [5,3,4,6,1,2] => 10010 [5,3,4,6,2,1] => 10011 [5,3,6,1,2,4] => 10100 [5,3,6,1,4,2] => 10101 [5,3,6,2,1,4] => 10110 [5,3,6,2,4,1] => 10101 [5,3,6,4,1,2] => 10110 [5,3,6,4,2,1] => 10111 [5,4,1,2,3,6] => 11000 [5,4,1,2,6,3] => 11001 [5,4,1,3,2,6] => 11010 [5,4,1,3,6,2] => 11001 [5,4,1,6,2,3] => 11010 [5,4,1,6,3,2] => 11011 [5,4,2,1,3,6] => 11100 [5,4,2,1,6,3] => 11101 [5,4,2,3,1,6] => 11010 [5,4,2,3,6,1] => 11001 [5,4,2,6,1,3] => 11010 [5,4,2,6,3,1] => 11011 [5,4,3,1,2,6] => 11100 [5,4,3,1,6,2] => 11101 [5,4,3,2,1,6] => 11110 [5,4,3,2,6,1] => 11101 [5,4,3,6,1,2] => 11010 [5,4,3,6,2,1] => 11011 [5,4,6,1,2,3] => 10100 [5,4,6,1,3,2] => 10101 [5,4,6,2,1,3] => 10110 [5,4,6,2,3,1] => 10101 [5,4,6,3,1,2] => 10110 [5,4,6,3,2,1] => 10111 [5,6,1,2,3,4] => 01000 [5,6,1,2,4,3] => 01001 [5,6,1,3,2,4] => 01010 [5,6,1,3,4,2] => 01001 [5,6,1,4,2,3] => 01010 [5,6,1,4,3,2] => 01011 [5,6,2,1,3,4] => 01100 [5,6,2,1,4,3] => 01101 [5,6,2,3,1,4] => 01010 [5,6,2,3,4,1] => 01001 [5,6,2,4,1,3] => 01010 [5,6,2,4,3,1] => 01011 [5,6,3,1,2,4] => 01100 [5,6,3,1,4,2] => 01101 [5,6,3,2,1,4] => 01110 [5,6,3,2,4,1] => 01101 [5,6,3,4,1,2] => 01010 [5,6,3,4,2,1] => 01011 [5,6,4,1,2,3] => 01100 [5,6,4,1,3,2] => 01101 [5,6,4,2,1,3] => 01110 [5,6,4,2,3,1] => 01101 [5,6,4,3,1,2] => 01110 [5,6,4,3,2,1] => 01111 [6,1,2,3,4,5] => 10000 [6,1,2,3,5,4] => 10001 [6,1,2,4,3,5] => 10010 [6,1,2,4,5,3] => 10001 [6,1,2,5,3,4] => 10010 [6,1,2,5,4,3] => 10011 [6,1,3,2,4,5] => 10100 [6,1,3,2,5,4] => 10101 [6,1,3,4,2,5] => 10010 [6,1,3,4,5,2] => 10001 [6,1,3,5,2,4] => 10010 [6,1,3,5,4,2] => 10011 [6,1,4,2,3,5] => 10100 [6,1,4,2,5,3] => 10101 [6,1,4,3,2,5] => 10110 [6,1,4,3,5,2] => 10101 [6,1,4,5,2,3] => 10010 [6,1,4,5,3,2] => 10011 [6,1,5,2,3,4] => 10100 [6,1,5,2,4,3] => 10101 [6,1,5,3,2,4] => 10110 [6,1,5,3,4,2] => 10101 [6,1,5,4,2,3] => 10110 [6,1,5,4,3,2] => 10111 [6,2,1,3,4,5] => 11000 [6,2,1,3,5,4] => 11001 [6,2,1,4,3,5] => 11010 [6,2,1,4,5,3] => 11001 [6,2,1,5,3,4] => 11010 [6,2,1,5,4,3] => 11011 [6,2,3,1,4,5] => 10100 [6,2,3,1,5,4] => 10101 [6,2,3,4,1,5] => 10010 [6,2,3,4,5,1] => 10001 [6,2,3,5,1,4] => 10010 [6,2,3,5,4,1] => 10011 [6,2,4,1,3,5] => 10100 [6,2,4,1,5,3] => 10101 [6,2,4,3,1,5] => 10110 [6,2,4,3,5,1] => 10101 [6,2,4,5,1,3] => 10010 [6,2,4,5,3,1] => 10011 [6,2,5,1,3,4] => 10100 [6,2,5,1,4,3] => 10101 [6,2,5,3,1,4] => 10110 [6,2,5,3,4,1] => 10101 [6,2,5,4,1,3] => 10110 [6,2,5,4,3,1] => 10111 [6,3,1,2,4,5] => 11000 [6,3,1,2,5,4] => 11001 [6,3,1,4,2,5] => 11010 [6,3,1,4,5,2] => 11001 [6,3,1,5,2,4] => 11010 [6,3,1,5,4,2] => 11011 [6,3,2,1,4,5] => 11100 [6,3,2,1,5,4] => 11101 [6,3,2,4,1,5] => 11010 [6,3,2,4,5,1] => 11001 [6,3,2,5,1,4] => 11010 [6,3,2,5,4,1] => 11011 [6,3,4,1,2,5] => 10100 [6,3,4,1,5,2] => 10101 [6,3,4,2,1,5] => 10110 [6,3,4,2,5,1] => 10101 [6,3,4,5,1,2] => 10010 [6,3,4,5,2,1] => 10011 [6,3,5,1,2,4] => 10100 [6,3,5,1,4,2] => 10101 [6,3,5,2,1,4] => 10110 [6,3,5,2,4,1] => 10101 [6,3,5,4,1,2] => 10110 [6,3,5,4,2,1] => 10111 [6,4,1,2,3,5] => 11000 [6,4,1,2,5,3] => 11001 [6,4,1,3,2,5] => 11010 [6,4,1,3,5,2] => 11001 [6,4,1,5,2,3] => 11010 [6,4,1,5,3,2] => 11011 [6,4,2,1,3,5] => 11100 [6,4,2,1,5,3] => 11101 [6,4,2,3,1,5] => 11010 [6,4,2,3,5,1] => 11001 [6,4,2,5,1,3] => 11010 [6,4,2,5,3,1] => 11011 [6,4,3,1,2,5] => 11100 [6,4,3,1,5,2] => 11101 [6,4,3,2,1,5] => 11110 [6,4,3,2,5,1] => 11101 [6,4,3,5,1,2] => 11010 [6,4,3,5,2,1] => 11011 [6,4,5,1,2,3] => 10100 [6,4,5,1,3,2] => 10101 [6,4,5,2,1,3] => 10110 [6,4,5,2,3,1] => 10101 [6,4,5,3,1,2] => 10110 [6,4,5,3,2,1] => 10111 [6,5,1,2,3,4] => 11000 [6,5,1,2,4,3] => 11001 [6,5,1,3,2,4] => 11010 [6,5,1,3,4,2] => 11001 [6,5,1,4,2,3] => 11010 [6,5,1,4,3,2] => 11011 [6,5,2,1,3,4] => 11100 [6,5,2,1,4,3] => 11101 [6,5,2,3,1,4] => 11010 [6,5,2,3,4,1] => 11001 [6,5,2,4,1,3] => 11010 [6,5,2,4,3,1] => 11011 [6,5,3,1,2,4] => 11100 [6,5,3,1,4,2] => 11101 [6,5,3,2,1,4] => 11110 [6,5,3,2,4,1] => 11101 [6,5,3,4,1,2] => 11010 [6,5,3,4,2,1] => 11011 [6,5,4,1,2,3] => 11100 [6,5,4,1,3,2] => 11101 [6,5,4,2,1,3] => 11110 [6,5,4,2,3,1] => 11101 [6,5,4,3,1,2] => 11110 [6,5,4,3,2,1] => 11111 [1,2,3,4,5,6,7] => 000000 [1,2,3,4,5,7,6] => 000001 [1,2,3,4,6,5,7] => 000010 [1,2,3,4,6,7,5] => 000001 [1,2,3,4,7,5,6] => 000010 [1,2,3,4,7,6,5] => 000011 [1,2,3,5,4,6,7] => 000100 [1,2,3,5,4,7,6] => 000101 [1,2,3,5,6,4,7] => 000010 [1,2,3,5,6,7,4] => 000001 [1,2,3,5,7,4,6] => 000010 [1,2,3,5,7,6,4] => 000011 [1,2,3,6,4,5,7] => 000100 [1,2,3,6,4,7,5] => 000101 [1,2,3,6,5,4,7] => 000110 [1,2,3,6,5,7,4] => 000101 [1,2,3,6,7,4,5] => 000010 [1,2,3,6,7,5,4] => 000011 [1,2,3,7,4,5,6] => 000100 [1,2,3,7,4,6,5] => 000101 [1,2,3,7,5,4,6] => 000110 [1,2,3,7,5,6,4] => 000101 [1,2,3,7,6,4,5] => 000110 [1,2,3,7,6,5,4] => 000111 [1,2,4,3,5,6,7] => 001000 [1,2,4,3,5,7,6] => 001001 [1,2,4,3,6,5,7] => 001010 [1,2,4,3,6,7,5] => 001001 [1,2,4,3,7,5,6] => 001010 [1,2,4,3,7,6,5] => 001011 [1,2,4,5,3,6,7] => 000100 [1,2,4,5,3,7,6] => 000101 [1,2,4,5,6,3,7] => 000010 [1,2,4,5,6,7,3] => 000001 [1,2,4,5,7,3,6] => 000010 [1,2,4,5,7,6,3] => 000011 [1,2,4,6,3,5,7] => 000100 [1,2,4,6,3,7,5] => 000101 [1,2,4,6,5,3,7] => 000110 [1,2,4,6,5,7,3] => 000101 [1,2,4,6,7,3,5] => 000010 [1,2,4,6,7,5,3] => 000011 [1,2,4,7,3,5,6] => 000100 [1,2,4,7,3,6,5] => 000101 [1,2,4,7,5,3,6] => 000110 [1,2,4,7,5,6,3] => 000101 [1,2,4,7,6,3,5] => 000110 [1,2,4,7,6,5,3] => 000111 [1,2,5,3,4,6,7] => 001000 [1,2,5,3,4,7,6] => 001001 [1,2,5,3,6,4,7] => 001010 [1,2,5,3,6,7,4] => 001001 [1,2,5,3,7,4,6] => 001010 [1,2,5,3,7,6,4] => 001011 [1,2,5,4,3,6,7] => 001100 [1,2,5,4,3,7,6] => 001101 [1,2,5,4,6,3,7] => 001010 [1,2,5,4,6,7,3] => 001001 [1,2,5,4,7,3,6] => 001010 [1,2,5,4,7,6,3] => 001011 [1,2,5,6,3,4,7] => 000100 [1,2,5,6,3,7,4] => 000101 [1,2,5,6,4,3,7] => 000110 [1,2,5,6,4,7,3] => 000101 [1,2,5,6,7,3,4] => 000010 [1,2,5,6,7,4,3] => 000011 [1,2,5,7,3,4,6] => 000100 [1,2,5,7,3,6,4] => 000101 [1,2,5,7,4,3,6] => 000110 [1,2,5,7,4,6,3] => 000101 [1,2,5,7,6,3,4] => 000110 [1,2,5,7,6,4,3] => 000111 [1,2,6,3,4,5,7] => 001000 [1,2,6,3,4,7,5] => 001001 [1,2,6,3,5,4,7] => 001010 [1,2,6,3,5,7,4] => 001001 [1,2,6,3,7,4,5] => 001010 [1,2,6,3,7,5,4] => 001011 [1,2,6,4,3,5,7] => 001100 [1,2,6,4,3,7,5] => 001101 [1,2,6,4,5,3,7] => 001010 [1,2,6,4,5,7,3] => 001001 [1,2,6,4,7,3,5] => 001010 [1,2,6,4,7,5,3] => 001011 [1,2,6,5,3,4,7] => 001100 [1,2,6,5,3,7,4] => 001101 [1,2,6,5,4,3,7] => 001110 [1,2,6,5,4,7,3] => 001101 [1,2,6,5,7,3,4] => 001010 [1,2,6,5,7,4,3] => 001011 [1,2,6,7,3,4,5] => 000100 [1,2,6,7,3,5,4] => 000101 [1,2,6,7,4,3,5] => 000110 [1,2,6,7,4,5,3] => 000101 [1,2,6,7,5,3,4] => 000110 [1,2,6,7,5,4,3] => 000111 [1,2,7,3,4,5,6] => 001000 [1,2,7,3,4,6,5] => 001001 [1,2,7,3,5,4,6] => 001010 [1,2,7,3,5,6,4] => 001001 [1,2,7,3,6,4,5] => 001010 [1,2,7,3,6,5,4] => 001011 [1,2,7,4,3,5,6] => 001100 [1,2,7,4,3,6,5] => 001101 [1,2,7,4,5,3,6] => 001010 [1,2,7,4,5,6,3] => 001001 [1,2,7,4,6,3,5] => 001010 [1,2,7,4,6,5,3] => 001011 [1,2,7,5,3,4,6] => 001100 [1,2,7,5,3,6,4] => 001101 [1,2,7,5,4,3,6] => 001110 [1,2,7,5,4,6,3] => 001101 [1,2,7,5,6,3,4] => 001010 [1,2,7,5,6,4,3] => 001011 [1,2,7,6,3,4,5] => 001100 [1,2,7,6,3,5,4] => 001101 [1,2,7,6,4,3,5] => 001110 [1,2,7,6,4,5,3] => 001101 [1,2,7,6,5,3,4] => 001110 [1,2,7,6,5,4,3] => 001111 [1,3,2,4,5,6,7] => 010000 [1,3,2,4,5,7,6] => 010001 [1,3,2,4,6,5,7] => 010010 [1,3,2,4,6,7,5] => 010001 [1,3,2,4,7,5,6] => 010010 [1,3,2,4,7,6,5] => 010011 [1,3,2,5,4,6,7] => 010100 [1,3,2,5,4,7,6] => 010101 [1,3,2,5,6,4,7] => 010010 [1,3,2,5,6,7,4] => 010001 [1,3,2,5,7,4,6] => 010010 [1,3,2,5,7,6,4] => 010011 [1,3,2,6,4,5,7] => 010100 [1,3,2,6,4,7,5] => 010101 [1,3,2,6,5,4,7] => 010110 [1,3,2,6,5,7,4] => 010101 [1,3,2,6,7,4,5] => 010010 [1,3,2,6,7,5,4] => 010011 [1,3,2,7,4,5,6] => 010100 [1,3,2,7,4,6,5] => 010101 [1,3,2,7,5,4,6] => 010110 [1,3,2,7,5,6,4] => 010101 [1,3,2,7,6,4,5] => 010110 [1,3,2,7,6,5,4] => 010111 [1,3,4,2,5,6,7] => 001000 [1,3,4,2,5,7,6] => 001001 [1,3,4,2,6,5,7] => 001010 [1,3,4,2,6,7,5] => 001001 [1,3,4,2,7,5,6] => 001010 [1,3,4,2,7,6,5] => 001011 [1,3,4,5,2,6,7] => 000100 [1,3,4,5,2,7,6] => 000101 [1,3,4,5,6,2,7] => 000010 [1,3,4,5,6,7,2] => 000001 [1,3,4,5,7,2,6] => 000010 [1,3,4,5,7,6,2] => 000011 [1,3,4,6,2,5,7] => 000100 [1,3,4,6,2,7,5] => 000101 [1,3,4,6,5,2,7] => 000110 [1,3,4,6,5,7,2] => 000101 [1,3,4,6,7,2,5] => 000010 [1,3,4,6,7,5,2] => 000011 [1,3,4,7,2,5,6] => 000100 [1,3,4,7,2,6,5] => 000101 [1,3,4,7,5,2,6] => 000110 [1,3,4,7,5,6,2] => 000101 [1,3,4,7,6,2,5] => 000110 [1,3,4,7,6,5,2] => 000111 [1,3,5,2,4,6,7] => 001000 [1,3,5,2,4,7,6] => 001001 [1,3,5,2,6,4,7] => 001010 [1,3,5,2,6,7,4] => 001001 [1,3,5,2,7,4,6] => 001010 [1,3,5,2,7,6,4] => 001011 [1,3,5,4,2,6,7] => 001100 [1,3,5,4,2,7,6] => 001101 [1,3,5,4,6,2,7] => 001010 [1,3,5,4,6,7,2] => 001001 [1,3,5,4,7,2,6] => 001010 [1,3,5,4,7,6,2] => 001011 [1,3,5,6,2,4,7] => 000100 [1,3,5,6,2,7,4] => 000101 [1,3,5,6,4,2,7] => 000110 [1,3,5,6,4,7,2] => 000101 [1,3,5,6,7,2,4] => 000010 [1,3,5,6,7,4,2] => 000011 [1,3,5,7,2,4,6] => 000100 [1,3,5,7,2,6,4] => 000101 [1,3,5,7,4,2,6] => 000110 [1,3,5,7,4,6,2] => 000101 [1,3,5,7,6,2,4] => 000110 [1,3,5,7,6,4,2] => 000111 [1,3,6,2,4,5,7] => 001000 [1,3,6,2,4,7,5] => 001001 [1,3,6,2,5,4,7] => 001010 [1,3,6,2,5,7,4] => 001001 [1,3,6,2,7,4,5] => 001010 [1,3,6,2,7,5,4] => 001011 [1,3,6,4,2,5,7] => 001100 [1,3,6,4,2,7,5] => 001101 [1,3,6,4,5,2,7] => 001010 [1,3,6,4,5,7,2] => 001001 [1,3,6,4,7,2,5] => 001010 [1,3,6,4,7,5,2] => 001011 [1,3,6,5,2,4,7] => 001100 [1,3,6,5,2,7,4] => 001101 [1,3,6,5,4,2,7] => 001110 [1,3,6,5,4,7,2] => 001101 [1,3,6,5,7,2,4] => 001010 [1,3,6,5,7,4,2] => 001011 [1,3,6,7,2,4,5] => 000100 [1,3,6,7,2,5,4] => 000101 [1,3,6,7,4,2,5] => 000110 [1,3,6,7,4,5,2] => 000101 [1,3,6,7,5,2,4] => 000110 [1,3,6,7,5,4,2] => 000111 [1,3,7,2,4,5,6] => 001000 [1,3,7,2,4,6,5] => 001001 [1,3,7,2,5,4,6] => 001010 [1,3,7,2,5,6,4] => 001001 [1,3,7,2,6,4,5] => 001010 [1,3,7,2,6,5,4] => 001011 [1,3,7,4,2,5,6] => 001100 [1,3,7,4,2,6,5] => 001101 [1,3,7,4,5,2,6] => 001010 [1,3,7,4,5,6,2] => 001001 [1,3,7,4,6,2,5] => 001010 [1,3,7,4,6,5,2] => 001011 [1,3,7,5,2,4,6] => 001100 [1,3,7,5,2,6,4] => 001101 [1,3,7,5,4,2,6] => 001110 [1,3,7,5,4,6,2] => 001101 [1,3,7,5,6,2,4] => 001010 [1,3,7,5,6,4,2] => 001011 [1,3,7,6,2,4,5] => 001100 [1,3,7,6,2,5,4] => 001101 [1,3,7,6,4,2,5] => 001110 [1,3,7,6,4,5,2] => 001101 [1,3,7,6,5,2,4] => 001110 [1,3,7,6,5,4,2] => 001111 [1,4,2,3,5,6,7] => 010000 [1,4,2,3,5,7,6] => 010001 [1,4,2,3,6,5,7] => 010010 [1,4,2,3,6,7,5] => 010001 [1,4,2,3,7,5,6] => 010010 [1,4,2,3,7,6,5] => 010011 [1,4,2,5,3,6,7] => 010100 [1,4,2,5,3,7,6] => 010101 [1,4,2,5,6,3,7] => 010010 [1,4,2,5,6,7,3] => 010001 [1,4,2,5,7,3,6] => 010010 [1,4,2,5,7,6,3] => 010011 [1,4,2,6,3,5,7] => 010100 [1,4,2,6,3,7,5] => 010101 [1,4,2,6,5,3,7] => 010110 [1,4,2,6,5,7,3] => 010101 [1,4,2,6,7,3,5] => 010010 [1,4,2,6,7,5,3] => 010011 [1,4,2,7,3,5,6] => 010100 [1,4,2,7,3,6,5] => 010101 [1,4,2,7,5,3,6] => 010110 [1,4,2,7,5,6,3] => 010101 [1,4,2,7,6,3,5] => 010110 [1,4,2,7,6,5,3] => 010111 [1,4,3,2,5,6,7] => 011000 [1,4,3,2,5,7,6] => 011001 [1,4,3,2,6,5,7] => 011010 [1,4,3,2,6,7,5] => 011001 [1,4,3,2,7,5,6] => 011010 [1,4,3,2,7,6,5] => 011011 [1,4,3,5,2,6,7] => 010100 [1,4,3,5,2,7,6] => 010101 [1,4,3,5,6,2,7] => 010010 [1,4,3,5,6,7,2] => 010001 [1,4,3,5,7,2,6] => 010010 [1,4,3,5,7,6,2] => 010011 [1,4,3,6,2,5,7] => 010100 [1,4,3,6,2,7,5] => 010101 [1,4,3,6,5,2,7] => 010110 [1,4,3,6,5,7,2] => 010101 [1,4,3,6,7,2,5] => 010010 [1,4,3,6,7,5,2] => 010011 [1,4,3,7,2,5,6] => 010100 [1,4,3,7,2,6,5] => 010101 [1,4,3,7,5,2,6] => 010110 [1,4,3,7,5,6,2] => 010101 [1,4,3,7,6,2,5] => 010110 [1,4,3,7,6,5,2] => 010111 [1,4,5,2,3,6,7] => 001000 [1,4,5,2,3,7,6] => 001001 [1,4,5,2,6,3,7] => 001010 [1,4,5,2,6,7,3] => 001001 [1,4,5,2,7,3,6] => 001010 [1,4,5,2,7,6,3] => 001011 [1,4,5,3,2,6,7] => 001100 [1,4,5,3,2,7,6] => 001101 [1,4,5,3,6,2,7] => 001010 [1,4,5,3,6,7,2] => 001001 [1,4,5,3,7,2,6] => 001010 [1,4,5,3,7,6,2] => 001011 [1,4,5,6,2,3,7] => 000100 [1,4,5,6,2,7,3] => 000101 [1,4,5,6,3,2,7] => 000110 [1,4,5,6,3,7,2] => 000101 [1,4,5,6,7,2,3] => 000010 [1,4,5,6,7,3,2] => 000011 [1,4,5,7,2,3,6] => 000100 [1,4,5,7,2,6,3] => 000101 [1,4,5,7,3,2,6] => 000110 [1,4,5,7,3,6,2] => 000101 [1,4,5,7,6,2,3] => 000110 [1,4,5,7,6,3,2] => 000111 [1,4,6,2,3,5,7] => 001000 [1,4,6,2,3,7,5] => 001001 [1,4,6,2,5,3,7] => 001010 [1,4,6,2,5,7,3] => 001001 [1,4,6,2,7,3,5] => 001010 [1,4,6,2,7,5,3] => 001011 [1,4,6,3,2,5,7] => 001100 [1,4,6,3,2,7,5] => 001101 [1,4,6,3,5,2,7] => 001010 [1,4,6,3,5,7,2] => 001001 [1,4,6,3,7,2,5] => 001010 [1,4,6,3,7,5,2] => 001011 [1,4,6,5,2,3,7] => 001100 [1,4,6,5,2,7,3] => 001101 [1,4,6,5,3,2,7] => 001110 ----------------------------------------------------------------------------- Created: Sep 22, 2020 at 11:07 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Sep 22, 2020 at 11:07 by Martin Rubey