************************************************************************ * 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: Mp00336 ------------------------------------------------------------------------ Map name: standard permutation ------------------------------------------------------------------------ Domain: Binary words ------------------------------------------------------------------------ Codomain: Permutations ------------------------------------------------------------------------ Description: Return the standardization of a binary word. The standard permutation $\sigma_w$ of a binary word $w$ is the unique permutation satisfying $\sigma_w(i) < \sigma_w(j)$ if and only if $w_i < w_j$ or $w_i=w_j$ and $i < j$. The image of this map contains precisely the Grassmannian permutations, see [4]. ------------------------------------------------------------------------ References: [1] Gessel, I. M., Reutenauer, C. Counting permutations with given cycle structure and descent set [[DOI:10.1016/0097-3165(93)90095-P]] [2] Giuliani, S., Lipták, Z., Masillo, F., Rizzi, R. When a dollar makes a BWT [[DOI:10.1016/j.tcs.2021.01.008]] [3] Mantaci, S., Restivo, A., Rosone, G., Sciortino, M., Versari, L. Measuring the clustering effect of BWT via RLE [[DOI:10.1016/j.tcs.2017.07.015]] [4] a(n) = 2^n - n. [[OEIS:A000325]] ------------------------------------------------------------------------ Code: def mapping(w): return w.standard_permutation() ------------------------------------------------------------------------ Map images: 0 => [1] 1 => [1] 00 => [1,2] 01 => [1,2] 10 => [2,1] 11 => [1,2] 000 => [1,2,3] 001 => [1,2,3] 010 => [1,3,2] 011 => [1,2,3] 100 => [3,1,2] 101 => [2,1,3] 110 => [2,3,1] 111 => [1,2,3] 0000 => [1,2,3,4] 0001 => [1,2,3,4] 0010 => [1,2,4,3] 0011 => [1,2,3,4] 0100 => [1,4,2,3] 0101 => [1,3,2,4] 0110 => [1,3,4,2] 0111 => [1,2,3,4] 1000 => [4,1,2,3] 1001 => [3,1,2,4] 1010 => [3,1,4,2] 1011 => [2,1,3,4] 1100 => [3,4,1,2] 1101 => [2,3,1,4] 1110 => [2,3,4,1] 1111 => [1,2,3,4] 00000 => [1,2,3,4,5] 00001 => [1,2,3,4,5] 00010 => [1,2,3,5,4] 00011 => [1,2,3,4,5] 00100 => [1,2,5,3,4] 00101 => [1,2,4,3,5] 00110 => [1,2,4,5,3] 00111 => [1,2,3,4,5] 01000 => [1,5,2,3,4] 01001 => [1,4,2,3,5] 01010 => [1,4,2,5,3] 01011 => [1,3,2,4,5] 01100 => [1,4,5,2,3] 01101 => [1,3,4,2,5] 01110 => [1,3,4,5,2] 01111 => [1,2,3,4,5] 10000 => [5,1,2,3,4] 10001 => [4,1,2,3,5] 10010 => [4,1,2,5,3] 10011 => [3,1,2,4,5] 10100 => [4,1,5,2,3] 10101 => [3,1,4,2,5] 10110 => [3,1,4,5,2] 10111 => [2,1,3,4,5] 11000 => [4,5,1,2,3] 11001 => [3,4,1,2,5] 11010 => [3,4,1,5,2] 11011 => [2,3,1,4,5] 11100 => [3,4,5,1,2] 11101 => [2,3,4,1,5] 11110 => [2,3,4,5,1] 11111 => [1,2,3,4,5] 000000 => [1,2,3,4,5,6] 000001 => [1,2,3,4,5,6] 000010 => [1,2,3,4,6,5] 000011 => [1,2,3,4,5,6] 000100 => [1,2,3,6,4,5] 000101 => [1,2,3,5,4,6] 000110 => [1,2,3,5,6,4] 000111 => [1,2,3,4,5,6] 001000 => [1,2,6,3,4,5] 001001 => [1,2,5,3,4,6] 001010 => [1,2,5,3,6,4] 001011 => [1,2,4,3,5,6] 001100 => [1,2,5,6,3,4] 001101 => [1,2,4,5,3,6] 001110 => [1,2,4,5,6,3] 001111 => [1,2,3,4,5,6] 010000 => [1,6,2,3,4,5] 010001 => [1,5,2,3,4,6] 010010 => [1,5,2,3,6,4] 010011 => [1,4,2,3,5,6] 010100 => [1,5,2,6,3,4] 010101 => [1,4,2,5,3,6] 010110 => [1,4,2,5,6,3] 010111 => [1,3,2,4,5,6] 011000 => [1,5,6,2,3,4] 011001 => [1,4,5,2,3,6] 011010 => [1,4,5,2,6,3] 011011 => [1,3,4,2,5,6] 011100 => [1,4,5,6,2,3] 011101 => [1,3,4,5,2,6] 011110 => [1,3,4,5,6,2] 011111 => [1,2,3,4,5,6] 100000 => [6,1,2,3,4,5] 100001 => [5,1,2,3,4,6] 100010 => [5,1,2,3,6,4] 100011 => [4,1,2,3,5,6] 100100 => [5,1,2,6,3,4] 100101 => [4,1,2,5,3,6] 100110 => [4,1,2,5,6,3] 100111 => [3,1,2,4,5,6] 101000 => [5,1,6,2,3,4] 101001 => [4,1,5,2,3,6] 101010 => [4,1,5,2,6,3] 101011 => [3,1,4,2,5,6] 101100 => [4,1,5,6,2,3] 101101 => [3,1,4,5,2,6] 101110 => [3,1,4,5,6,2] 101111 => [2,1,3,4,5,6] 110000 => [5,6,1,2,3,4] 110001 => [4,5,1,2,3,6] 110010 => [4,5,1,2,6,3] 110011 => [3,4,1,2,5,6] 110100 => [4,5,1,6,2,3] 110101 => [3,4,1,5,2,6] 110110 => [3,4,1,5,6,2] 110111 => [2,3,1,4,5,6] 111000 => [4,5,6,1,2,3] 111001 => [3,4,5,1,2,6] 111010 => [3,4,5,1,6,2] 111011 => [2,3,4,1,5,6] 111100 => [3,4,5,6,1,2] 111101 => [2,3,4,5,1,6] 111110 => [2,3,4,5,6,1] 111111 => [1,2,3,4,5,6] 0000000 => [1,2,3,4,5,6,7] 0000001 => [1,2,3,4,5,6,7] 0000010 => [1,2,3,4,5,7,6] 0000011 => [1,2,3,4,5,6,7] 0000100 => [1,2,3,4,7,5,6] 0000101 => [1,2,3,4,6,5,7] 0000110 => [1,2,3,4,6,7,5] 0000111 => [1,2,3,4,5,6,7] 0001000 => [1,2,3,7,4,5,6] 0001001 => [1,2,3,6,4,5,7] 0001010 => [1,2,3,6,4,7,5] 0001011 => [1,2,3,5,4,6,7] 0001100 => [1,2,3,6,7,4,5] 0001101 => [1,2,3,5,6,4,7] 0001110 => [1,2,3,5,6,7,4] 0001111 => [1,2,3,4,5,6,7] 0010000 => [1,2,7,3,4,5,6] 0010001 => [1,2,6,3,4,5,7] 0010010 => [1,2,6,3,4,7,5] 0010011 => [1,2,5,3,4,6,7] 0010100 => [1,2,6,3,7,4,5] 0010101 => [1,2,5,3,6,4,7] 0010110 => [1,2,5,3,6,7,4] 0010111 => [1,2,4,3,5,6,7] 0011000 => [1,2,6,7,3,4,5] 0011001 => [1,2,5,6,3,4,7] 0011010 => [1,2,5,6,3,7,4] 0011011 => [1,2,4,5,3,6,7] 0011100 => [1,2,5,6,7,3,4] 0011101 => [1,2,4,5,6,3,7] 0011110 => [1,2,4,5,6,7,3] 0011111 => [1,2,3,4,5,6,7] 0100000 => [1,7,2,3,4,5,6] 0100001 => [1,6,2,3,4,5,7] 0100010 => [1,6,2,3,4,7,5] 0100011 => [1,5,2,3,4,6,7] 0100100 => [1,6,2,3,7,4,5] 0100101 => [1,5,2,3,6,4,7] 0100110 => [1,5,2,3,6,7,4] 0100111 => [1,4,2,3,5,6,7] 0101000 => [1,6,2,7,3,4,5] 0101001 => [1,5,2,6,3,4,7] 0101010 => [1,5,2,6,3,7,4] 0101011 => [1,4,2,5,3,6,7] 0101100 => [1,5,2,6,7,3,4] 0101101 => [1,4,2,5,6,3,7] 0101110 => [1,4,2,5,6,7,3] 0101111 => [1,3,2,4,5,6,7] 0110000 => [1,6,7,2,3,4,5] 0110001 => [1,5,6,2,3,4,7] 0110010 => [1,5,6,2,3,7,4] 0110011 => [1,4,5,2,3,6,7] 0110100 => [1,5,6,2,7,3,4] 0110101 => [1,4,5,2,6,3,7] 0110110 => [1,4,5,2,6,7,3] 0110111 => [1,3,4,2,5,6,7] 0111000 => [1,5,6,7,2,3,4] 0111001 => [1,4,5,6,2,3,7] 0111010 => [1,4,5,6,2,7,3] 0111011 => [1,3,4,5,2,6,7] 0111100 => [1,4,5,6,7,2,3] 0111101 => [1,3,4,5,6,2,7] 0111110 => [1,3,4,5,6,7,2] 0111111 => [1,2,3,4,5,6,7] 1000000 => [7,1,2,3,4,5,6] 1000001 => [6,1,2,3,4,5,7] 1000010 => [6,1,2,3,4,7,5] 1000011 => [5,1,2,3,4,6,7] 1000100 => [6,1,2,3,7,4,5] 1000101 => [5,1,2,3,6,4,7] 1000110 => [5,1,2,3,6,7,4] 1000111 => [4,1,2,3,5,6,7] 1001000 => [6,1,2,7,3,4,5] 1001001 => [5,1,2,6,3,4,7] 1001010 => [5,1,2,6,3,7,4] 1001011 => [4,1,2,5,3,6,7] 1001100 => [5,1,2,6,7,3,4] 1001101 => [4,1,2,5,6,3,7] 1001110 => [4,1,2,5,6,7,3] 1001111 => [3,1,2,4,5,6,7] 1010000 => [6,1,7,2,3,4,5] 1010001 => [5,1,6,2,3,4,7] 1010010 => [5,1,6,2,3,7,4] 1010011 => [4,1,5,2,3,6,7] 1010100 => [5,1,6,2,7,3,4] 1010101 => [4,1,5,2,6,3,7] 1010110 => [4,1,5,2,6,7,3] 1010111 => [3,1,4,2,5,6,7] 1011000 => [5,1,6,7,2,3,4] 1011001 => [4,1,5,6,2,3,7] 1011010 => [4,1,5,6,2,7,3] 1011011 => [3,1,4,5,2,6,7] 1011100 => [4,1,5,6,7,2,3] 1011101 => [3,1,4,5,6,2,7] 1011110 => [3,1,4,5,6,7,2] 1011111 => [2,1,3,4,5,6,7] 1100000 => [6,7,1,2,3,4,5] 1100001 => [5,6,1,2,3,4,7] 1100010 => [5,6,1,2,3,7,4] 1100011 => [4,5,1,2,3,6,7] 1100100 => [5,6,1,2,7,3,4] 1100101 => [4,5,1,2,6,3,7] 1100110 => [4,5,1,2,6,7,3] 1100111 => [3,4,1,2,5,6,7] 1101000 => [5,6,1,7,2,3,4] 1101001 => [4,5,1,6,2,3,7] 1101010 => [4,5,1,6,2,7,3] 1101011 => [3,4,1,5,2,6,7] 1101100 => [4,5,1,6,7,2,3] 1101101 => [3,4,1,5,6,2,7] 1101110 => [3,4,1,5,6,7,2] 1101111 => [2,3,1,4,5,6,7] 1110000 => [5,6,7,1,2,3,4] 1110001 => [4,5,6,1,2,3,7] 1110010 => [4,5,6,1,2,7,3] 1110011 => [3,4,5,1,2,6,7] 1110100 => [4,5,6,1,7,2,3] 1110101 => [3,4,5,1,6,2,7] 1110110 => [3,4,5,1,6,7,2] 1110111 => [2,3,4,1,5,6,7] 1111000 => [4,5,6,7,1,2,3] 1111001 => [3,4,5,6,1,2,7] 1111010 => [3,4,5,6,1,7,2] 1111011 => [2,3,4,5,1,6,7] 1111100 => [3,4,5,6,7,1,2] 1111101 => [2,3,4,5,6,1,7] 1111110 => [2,3,4,5,6,7,1] 1111111 => [1,2,3,4,5,6,7] 00000000 => [1,2,3,4,5,6,7,8] 00000001 => [1,2,3,4,5,6,7,8] 00000010 => [1,2,3,4,5,6,8,7] 00000011 => [1,2,3,4,5,6,7,8] 00000100 => [1,2,3,4,5,8,6,7] 00000101 => [1,2,3,4,5,7,6,8] 00000110 => [1,2,3,4,5,7,8,6] 00000111 => [1,2,3,4,5,6,7,8] 00001000 => [1,2,3,4,8,5,6,7] 00001001 => [1,2,3,4,7,5,6,8] 00001010 => [1,2,3,4,7,5,8,6] 00001011 => [1,2,3,4,6,5,7,8] 00001100 => [1,2,3,4,7,8,5,6] 00001101 => [1,2,3,4,6,7,5,8] 00001110 => [1,2,3,4,6,7,8,5] 00001111 => [1,2,3,4,5,6,7,8] 00010000 => [1,2,3,8,4,5,6,7] 00010001 => [1,2,3,7,4,5,6,8] 00010010 => [1,2,3,7,4,5,8,6] 00010011 => [1,2,3,6,4,5,7,8] 00010100 => [1,2,3,7,4,8,5,6] 00010101 => [1,2,3,6,4,7,5,8] 00010110 => [1,2,3,6,4,7,8,5] 00010111 => [1,2,3,5,4,6,7,8] 00011000 => [1,2,3,7,8,4,5,6] 00011001 => [1,2,3,6,7,4,5,8] 00011010 => [1,2,3,6,7,4,8,5] 00011011 => [1,2,3,5,6,4,7,8] 00011100 => [1,2,3,6,7,8,4,5] 00011101 => [1,2,3,5,6,7,4,8] 00011110 => [1,2,3,5,6,7,8,4] 00011111 => [1,2,3,4,5,6,7,8] 00100000 => [1,2,8,3,4,5,6,7] 00100001 => [1,2,7,3,4,5,6,8] 00100010 => [1,2,7,3,4,5,8,6] 00100011 => [1,2,6,3,4,5,7,8] 00100100 => [1,2,7,3,4,8,5,6] 00100101 => [1,2,6,3,4,7,5,8] 00100110 => [1,2,6,3,4,7,8,5] 00100111 => [1,2,5,3,4,6,7,8] 00101000 => [1,2,7,3,8,4,5,6] 00101001 => [1,2,6,3,7,4,5,8] 00101010 => [1,2,6,3,7,4,8,5] 00101011 => [1,2,5,3,6,4,7,8] 00101100 => [1,2,6,3,7,8,4,5] 00101101 => [1,2,5,3,6,7,4,8] 00101110 => [1,2,5,3,6,7,8,4] 00101111 => [1,2,4,3,5,6,7,8] 00110000 => [1,2,7,8,3,4,5,6] 00110001 => [1,2,6,7,3,4,5,8] 00110010 => [1,2,6,7,3,4,8,5] 00110011 => [1,2,5,6,3,4,7,8] 00110100 => [1,2,6,7,3,8,4,5] 00110101 => [1,2,5,6,3,7,4,8] 00110110 => [1,2,5,6,3,7,8,4] 00110111 => [1,2,4,5,3,6,7,8] 00111000 => [1,2,6,7,8,3,4,5] 00111001 => [1,2,5,6,7,3,4,8] 00111010 => [1,2,5,6,7,3,8,4] 00111011 => [1,2,4,5,6,3,7,8] 00111100 => [1,2,5,6,7,8,3,4] 00111101 => [1,2,4,5,6,7,3,8] 00111110 => [1,2,4,5,6,7,8,3] 00111111 => [1,2,3,4,5,6,7,8] 01000000 => [1,8,2,3,4,5,6,7] 01000001 => [1,7,2,3,4,5,6,8] 01000010 => [1,7,2,3,4,5,8,6] 01000011 => [1,6,2,3,4,5,7,8] 01000100 => [1,7,2,3,4,8,5,6] 01000101 => [1,6,2,3,4,7,5,8] 01000110 => [1,6,2,3,4,7,8,5] 01000111 => [1,5,2,3,4,6,7,8] 01001000 => [1,7,2,3,8,4,5,6] 01001001 => [1,6,2,3,7,4,5,8] 01001010 => [1,6,2,3,7,4,8,5] 01001011 => [1,5,2,3,6,4,7,8] 01001100 => [1,6,2,3,7,8,4,5] 01001101 => [1,5,2,3,6,7,4,8] 01001110 => [1,5,2,3,6,7,8,4] 01001111 => [1,4,2,3,5,6,7,8] 01010000 => [1,7,2,8,3,4,5,6] 01010001 => [1,6,2,7,3,4,5,8] 01010010 => [1,6,2,7,3,4,8,5] 01010011 => [1,5,2,6,3,4,7,8] 01010100 => [1,6,2,7,3,8,4,5] 01010101 => [1,5,2,6,3,7,4,8] 01010110 => [1,5,2,6,3,7,8,4] 01010111 => [1,4,2,5,3,6,7,8] 01011000 => [1,6,2,7,8,3,4,5] 01011001 => [1,5,2,6,7,3,4,8] 01011010 => [1,5,2,6,7,3,8,4] 01011011 => [1,4,2,5,6,3,7,8] 01011100 => [1,5,2,6,7,8,3,4] 01011101 => [1,4,2,5,6,7,3,8] 01011110 => [1,4,2,5,6,7,8,3] 01011111 => [1,3,2,4,5,6,7,8] 01100000 => [1,7,8,2,3,4,5,6] 01100001 => [1,6,7,2,3,4,5,8] 01100010 => [1,6,7,2,3,4,8,5] 01100011 => [1,5,6,2,3,4,7,8] 01100100 => [1,6,7,2,3,8,4,5] 01100101 => [1,5,6,2,3,7,4,8] 01100110 => [1,5,6,2,3,7,8,4] 01100111 => [1,4,5,2,3,6,7,8] 01101000 => [1,6,7,2,8,3,4,5] 01101001 => [1,5,6,2,7,3,4,8] 01101010 => [1,5,6,2,7,3,8,4] 01101011 => [1,4,5,2,6,3,7,8] 01101100 => [1,5,6,2,7,8,3,4] 01101101 => [1,4,5,2,6,7,3,8] 01101110 => [1,4,5,2,6,7,8,3] 01101111 => [1,3,4,2,5,6,7,8] 01110000 => [1,6,7,8,2,3,4,5] 01110001 => [1,5,6,7,2,3,4,8] 01110010 => [1,5,6,7,2,3,8,4] 01110011 => [1,4,5,6,2,3,7,8] 01110100 => [1,5,6,7,2,8,3,4] 01110101 => [1,4,5,6,2,7,3,8] 01110110 => [1,4,5,6,2,7,8,3] 01110111 => [1,3,4,5,2,6,7,8] 01111000 => [1,5,6,7,8,2,3,4] 01111001 => [1,4,5,6,7,2,3,8] 01111010 => [1,4,5,6,7,2,8,3] 01111011 => [1,3,4,5,6,2,7,8] 01111100 => [1,4,5,6,7,8,2,3] 01111101 => [1,3,4,5,6,7,2,8] 01111110 => [1,3,4,5,6,7,8,2] 01111111 => [1,2,3,4,5,6,7,8] 10000000 => [8,1,2,3,4,5,6,7] 10000001 => [7,1,2,3,4,5,6,8] 10000010 => [7,1,2,3,4,5,8,6] 10000011 => [6,1,2,3,4,5,7,8] 10000100 => [7,1,2,3,4,8,5,6] 10000101 => [6,1,2,3,4,7,5,8] 10000110 => [6,1,2,3,4,7,8,5] 10000111 => [5,1,2,3,4,6,7,8] 10001000 => [7,1,2,3,8,4,5,6] 10001001 => [6,1,2,3,7,4,5,8] 10001010 => [6,1,2,3,7,4,8,5] 10001011 => [5,1,2,3,6,4,7,8] 10001100 => [6,1,2,3,7,8,4,5] 10001101 => [5,1,2,3,6,7,4,8] 10001110 => [5,1,2,3,6,7,8,4] 10001111 => [4,1,2,3,5,6,7,8] 10010000 => [7,1,2,8,3,4,5,6] 10010001 => [6,1,2,7,3,4,5,8] 10010010 => [6,1,2,7,3,4,8,5] 10010011 => [5,1,2,6,3,4,7,8] 10010100 => [6,1,2,7,3,8,4,5] 10010101 => [5,1,2,6,3,7,4,8] 10010110 => [5,1,2,6,3,7,8,4] 10010111 => [4,1,2,5,3,6,7,8] 10011000 => [6,1,2,7,8,3,4,5] 10011001 => [5,1,2,6,7,3,4,8] 10011010 => [5,1,2,6,7,3,8,4] 10011011 => [4,1,2,5,6,3,7,8] 10011100 => [5,1,2,6,7,8,3,4] 10011101 => [4,1,2,5,6,7,3,8] 10011110 => [4,1,2,5,6,7,8,3] 10011111 => [3,1,2,4,5,6,7,8] 10100000 => [7,1,8,2,3,4,5,6] 10100001 => [6,1,7,2,3,4,5,8] 10100010 => [6,1,7,2,3,4,8,5] 10100011 => [5,1,6,2,3,4,7,8] 10100100 => [6,1,7,2,3,8,4,5] 10100101 => [5,1,6,2,3,7,4,8] 10100110 => [5,1,6,2,3,7,8,4] 10100111 => [4,1,5,2,3,6,7,8] 10101000 => [6,1,7,2,8,3,4,5] 10101001 => [5,1,6,2,7,3,4,8] 10101010 => [5,1,6,2,7,3,8,4] 10101011 => [4,1,5,2,6,3,7,8] 10101100 => [5,1,6,2,7,8,3,4] 10101101 => [4,1,5,2,6,7,3,8] 10101110 => [4,1,5,2,6,7,8,3] 10101111 => [3,1,4,2,5,6,7,8] 10110000 => [6,1,7,8,2,3,4,5] 10110001 => [5,1,6,7,2,3,4,8] 10110010 => [5,1,6,7,2,3,8,4] 10110011 => [4,1,5,6,2,3,7,8] 10110100 => [5,1,6,7,2,8,3,4] 10110101 => [4,1,5,6,2,7,3,8] 10110110 => [4,1,5,6,2,7,8,3] 10110111 => [3,1,4,5,2,6,7,8] 10111000 => [5,1,6,7,8,2,3,4] 10111001 => [4,1,5,6,7,2,3,8] 10111010 => [4,1,5,6,7,2,8,3] 10111011 => [3,1,4,5,6,2,7,8] 10111100 => [4,1,5,6,7,8,2,3] 10111101 => [3,1,4,5,6,7,2,8] 10111110 => [3,1,4,5,6,7,8,2] 10111111 => [2,1,3,4,5,6,7,8] 11000000 => [7,8,1,2,3,4,5,6] 11000001 => [6,7,1,2,3,4,5,8] 11000010 => [6,7,1,2,3,4,8,5] 11000011 => [5,6,1,2,3,4,7,8] 11000100 => [6,7,1,2,3,8,4,5] 11000101 => [5,6,1,2,3,7,4,8] 11000110 => [5,6,1,2,3,7,8,4] 11000111 => [4,5,1,2,3,6,7,8] 11001000 => [6,7,1,2,8,3,4,5] 11001001 => [5,6,1,2,7,3,4,8] 11001010 => [5,6,1,2,7,3,8,4] 11001011 => [4,5,1,2,6,3,7,8] 11001100 => [5,6,1,2,7,8,3,4] 11001101 => [4,5,1,2,6,7,3,8] 11001110 => [4,5,1,2,6,7,8,3] 11001111 => [3,4,1,2,5,6,7,8] 11010000 => [6,7,1,8,2,3,4,5] 11010001 => [5,6,1,7,2,3,4,8] 11010010 => [5,6,1,7,2,3,8,4] 11010011 => [4,5,1,6,2,3,7,8] 11010100 => [5,6,1,7,2,8,3,4] 11010101 => [4,5,1,6,2,7,3,8] 11010110 => [4,5,1,6,2,7,8,3] 11010111 => [3,4,1,5,2,6,7,8] 11011000 => [5,6,1,7,8,2,3,4] 11011001 => [4,5,1,6,7,2,3,8] 11011010 => [4,5,1,6,7,2,8,3] 11011011 => [3,4,1,5,6,2,7,8] 11011100 => [4,5,1,6,7,8,2,3] 11011101 => [3,4,1,5,6,7,2,8] 11011110 => [3,4,1,5,6,7,8,2] 11011111 => [2,3,1,4,5,6,7,8] 11100000 => [6,7,8,1,2,3,4,5] 11100001 => [5,6,7,1,2,3,4,8] 11100010 => [5,6,7,1,2,3,8,4] 11100011 => [4,5,6,1,2,3,7,8] 11100100 => [5,6,7,1,2,8,3,4] 11100101 => [4,5,6,1,2,7,3,8] 11100110 => [4,5,6,1,2,7,8,3] 11100111 => [3,4,5,1,2,6,7,8] 11101000 => [5,6,7,1,8,2,3,4] 11101001 => [4,5,6,1,7,2,3,8] 11101010 => [4,5,6,1,7,2,8,3] 11101011 => [3,4,5,1,6,2,7,8] 11101100 => [4,5,6,1,7,8,2,3] 11101101 => [3,4,5,1,6,7,2,8] 11101110 => [3,4,5,1,6,7,8,2] 11101111 => [2,3,4,1,5,6,7,8] 11110000 => [5,6,7,8,1,2,3,4] 11110001 => [4,5,6,7,1,2,3,8] 11110010 => [4,5,6,7,1,2,8,3] 11110011 => [3,4,5,6,1,2,7,8] 11110100 => [4,5,6,7,1,8,2,3] 11110101 => [3,4,5,6,1,7,2,8] 11110110 => [3,4,5,6,1,7,8,2] 11110111 => [2,3,4,5,1,6,7,8] 11111000 => [4,5,6,7,8,1,2,3] 11111001 => [3,4,5,6,7,1,2,8] 11111010 => [3,4,5,6,7,1,8,2] 11111011 => [2,3,4,5,6,1,7,8] 11111100 => [3,4,5,6,7,8,1,2] 11111101 => [2,3,4,5,6,7,1,8] 11111110 => [2,3,4,5,6,7,8,1] 11111111 => [1,2,3,4,5,6,7,8] 000000000 => [1,2,3,4,5,6,7,8,9] 000000001 => [1,2,3,4,5,6,7,8,9] 000000010 => [1,2,3,4,5,6,7,9,8] 000000011 => [1,2,3,4,5,6,7,8,9] 000000100 => [1,2,3,4,5,6,9,7,8] 000000101 => [1,2,3,4,5,6,8,7,9] 000000110 => [1,2,3,4,5,6,8,9,7] 000000111 => [1,2,3,4,5,6,7,8,9] 000001000 => [1,2,3,4,5,9,6,7,8] 000001001 => [1,2,3,4,5,8,6,7,9] 000001010 => [1,2,3,4,5,8,6,9,7] 000001011 => [1,2,3,4,5,7,6,8,9] 000001100 => [1,2,3,4,5,8,9,6,7] 000001101 => [1,2,3,4,5,7,8,6,9] 000001110 => [1,2,3,4,5,7,8,9,6] 000001111 => [1,2,3,4,5,6,7,8,9] 000010000 => [1,2,3,4,9,5,6,7,8] 000010001 => [1,2,3,4,8,5,6,7,9] 000010010 => [1,2,3,4,8,5,6,9,7] 000010011 => [1,2,3,4,7,5,6,8,9] 000010100 => [1,2,3,4,8,5,9,6,7] 000010101 => [1,2,3,4,7,5,8,6,9] 000010110 => [1,2,3,4,7,5,8,9,6] 000010111 => [1,2,3,4,6,5,7,8,9] 000011000 => [1,2,3,4,8,9,5,6,7] 000011001 => [1,2,3,4,7,8,5,6,9] 000011010 => [1,2,3,4,7,8,5,9,6] 000011011 => [1,2,3,4,6,7,5,8,9] 000011100 => [1,2,3,4,7,8,9,5,6] 000011101 => [1,2,3,4,6,7,8,5,9] 000011110 => [1,2,3,4,6,7,8,9,5] 000011111 => [1,2,3,4,5,6,7,8,9] 000100000 => [1,2,3,9,4,5,6,7,8] 000100001 => [1,2,3,8,4,5,6,7,9] 000100010 => [1,2,3,8,4,5,6,9,7] 000100011 => [1,2,3,7,4,5,6,8,9] 000100100 => [1,2,3,8,4,5,9,6,7] 000100101 => [1,2,3,7,4,5,8,6,9] 000100110 => [1,2,3,7,4,5,8,9,6] 000100111 => [1,2,3,6,4,5,7,8,9] 000101000 => [1,2,3,8,4,9,5,6,7] 000101001 => [1,2,3,7,4,8,5,6,9] 000101010 => [1,2,3,7,4,8,5,9,6] 000101011 => [1,2,3,6,4,7,5,8,9] 000101100 => [1,2,3,7,4,8,9,5,6] 000101101 => [1,2,3,6,4,7,8,5,9] 000101110 => [1,2,3,6,4,7,8,9,5] 000101111 => [1,2,3,5,4,6,7,8,9] 000110000 => [1,2,3,8,9,4,5,6,7] 000110001 => [1,2,3,7,8,4,5,6,9] 000110010 => [1,2,3,7,8,4,5,9,6] 000110011 => [1,2,3,6,7,4,5,8,9] 000110100 => [1,2,3,7,8,4,9,5,6] 000110101 => [1,2,3,6,7,4,8,5,9] 000110110 => [1,2,3,6,7,4,8,9,5] 000110111 => [1,2,3,5,6,4,7,8,9] 000111000 => [1,2,3,7,8,9,4,5,6] 000111001 => [1,2,3,6,7,8,4,5,9] 000111010 => [1,2,3,6,7,8,4,9,5] 000111011 => [1,2,3,5,6,7,4,8,9] 000111100 => [1,2,3,6,7,8,9,4,5] 000111101 => [1,2,3,5,6,7,8,4,9] 000111110 => [1,2,3,5,6,7,8,9,4] 000111111 => [1,2,3,4,5,6,7,8,9] 001000000 => [1,2,9,3,4,5,6,7,8] 001000001 => [1,2,8,3,4,5,6,7,9] 001000010 => [1,2,8,3,4,5,6,9,7] 001000011 => [1,2,7,3,4,5,6,8,9] 001000100 => [1,2,8,3,4,5,9,6,7] 001000101 => [1,2,7,3,4,5,8,6,9] 001000110 => [1,2,7,3,4,5,8,9,6] 001000111 => [1,2,6,3,4,5,7,8,9] 001001000 => [1,2,8,3,4,9,5,6,7] 001001001 => [1,2,7,3,4,8,5,6,9] 001001010 => [1,2,7,3,4,8,5,9,6] 001001011 => [1,2,6,3,4,7,5,8,9] 001001100 => [1,2,7,3,4,8,9,5,6] 001001101 => [1,2,6,3,4,7,8,5,9] 001001110 => [1,2,6,3,4,7,8,9,5] 001001111 => [1,2,5,3,4,6,7,8,9] 001010000 => [1,2,8,3,9,4,5,6,7] 001010001 => [1,2,7,3,8,4,5,6,9] 001010010 => [1,2,7,3,8,4,5,9,6] 001010011 => [1,2,6,3,7,4,5,8,9] 001010100 => [1,2,7,3,8,4,9,5,6] 001010101 => [1,2,6,3,7,4,8,5,9] 001010110 => [1,2,6,3,7,4,8,9,5] 001010111 => [1,2,5,3,6,4,7,8,9] 001011000 => [1,2,7,3,8,9,4,5,6] 001011001 => [1,2,6,3,7,8,4,5,9] 001011010 => [1,2,6,3,7,8,4,9,5] 001011011 => [1,2,5,3,6,7,4,8,9] 001011100 => [1,2,6,3,7,8,9,4,5] 001011101 => [1,2,5,3,6,7,8,4,9] 001011110 => [1,2,5,3,6,7,8,9,4] 001011111 => [1,2,4,3,5,6,7,8,9] 001100000 => [1,2,8,9,3,4,5,6,7] 001100001 => [1,2,7,8,3,4,5,6,9] 001100010 => [1,2,7,8,3,4,5,9,6] 001100011 => [1,2,6,7,3,4,5,8,9] 001100100 => [1,2,7,8,3,4,9,5,6] 001100101 => [1,2,6,7,3,4,8,5,9] 001100110 => [1,2,6,7,3,4,8,9,5] 001100111 => [1,2,5,6,3,4,7,8,9] 001101000 => [1,2,7,8,3,9,4,5,6] 001101001 => [1,2,6,7,3,8,4,5,9] 001101010 => [1,2,6,7,3,8,4,9,5] 001101011 => [1,2,5,6,3,7,4,8,9] 001101100 => [1,2,6,7,3,8,9,4,5] 001101101 => [1,2,5,6,3,7,8,4,9] 001101110 => [1,2,5,6,3,7,8,9,4] 001101111 => [1,2,4,5,3,6,7,8,9] 001110000 => [1,2,7,8,9,3,4,5,6] 001110001 => [1,2,6,7,8,3,4,5,9] 001110010 => [1,2,6,7,8,3,4,9,5] 001110011 => [1,2,5,6,7,3,4,8,9] 001110100 => [1,2,6,7,8,3,9,4,5] 001110101 => [1,2,5,6,7,3,8,4,9] 001110110 => [1,2,5,6,7,3,8,9,4] 001110111 => [1,2,4,5,6,3,7,8,9] 001111000 => [1,2,6,7,8,9,3,4,5] 001111001 => [1,2,5,6,7,8,3,4,9] 001111010 => [1,2,5,6,7,8,3,9,4] 001111011 => [1,2,4,5,6,7,3,8,9] 001111100 => [1,2,5,6,7,8,9,3,4] 001111101 => [1,2,4,5,6,7,8,3,9] 001111110 => [1,2,4,5,6,7,8,9,3] 001111111 => [1,2,3,4,5,6,7,8,9] 010000000 => [1,9,2,3,4,5,6,7,8] 010000001 => [1,8,2,3,4,5,6,7,9] 010000010 => [1,8,2,3,4,5,6,9,7] 010000011 => [1,7,2,3,4,5,6,8,9] 010000100 => [1,8,2,3,4,5,9,6,7] 010000101 => [1,7,2,3,4,5,8,6,9] 010000110 => [1,7,2,3,4,5,8,9,6] 010000111 => [1,6,2,3,4,5,7,8,9] 010001000 => [1,8,2,3,4,9,5,6,7] 010001001 => [1,7,2,3,4,8,5,6,9] 010001010 => [1,7,2,3,4,8,5,9,6] 010001011 => [1,6,2,3,4,7,5,8,9] 010001100 => [1,7,2,3,4,8,9,5,6] 010001101 => [1,6,2,3,4,7,8,5,9] 010001110 => [1,6,2,3,4,7,8,9,5] 010001111 => [1,5,2,3,4,6,7,8,9] 010010000 => [1,8,2,3,9,4,5,6,7] 010010001 => [1,7,2,3,8,4,5,6,9] 010010010 => [1,7,2,3,8,4,5,9,6] 010010011 => [1,6,2,3,7,4,5,8,9] 010010100 => [1,7,2,3,8,4,9,5,6] 010010101 => [1,6,2,3,7,4,8,5,9] 010010110 => [1,6,2,3,7,4,8,9,5] 010010111 => [1,5,2,3,6,4,7,8,9] 010011000 => [1,7,2,3,8,9,4,5,6] 010011001 => [1,6,2,3,7,8,4,5,9] 010011010 => [1,6,2,3,7,8,4,9,5] 010011011 => [1,5,2,3,6,7,4,8,9] 010011100 => [1,6,2,3,7,8,9,4,5] 010011101 => [1,5,2,3,6,7,8,4,9] 010011110 => [1,5,2,3,6,7,8,9,4] 010011111 => [1,4,2,3,5,6,7,8,9] 010100000 => [1,8,2,9,3,4,5,6,7] 010100001 => [1,7,2,8,3,4,5,6,9] 010100010 => [1,7,2,8,3,4,5,9,6] 010100011 => [1,6,2,7,3,4,5,8,9] 010100100 => [1,7,2,8,3,4,9,5,6] 010100101 => [1,6,2,7,3,4,8,5,9] 010100110 => [1,6,2,7,3,4,8,9,5] 010100111 => [1,5,2,6,3,4,7,8,9] 010101000 => [1,7,2,8,3,9,4,5,6] 010101001 => [1,6,2,7,3,8,4,5,9] 010101010 => [1,6,2,7,3,8,4,9,5] 010101011 => [1,5,2,6,3,7,4,8,9] 010101100 => [1,6,2,7,3,8,9,4,5] 010101101 => [1,5,2,6,3,7,8,4,9] 010101110 => [1,5,2,6,3,7,8,9,4] 010101111 => [1,4,2,5,3,6,7,8,9] 010110000 => [1,7,2,8,9,3,4,5,6] 010110001 => [1,6,2,7,8,3,4,5,9] 010110010 => [1,6,2,7,8,3,4,9,5] 010110011 => [1,5,2,6,7,3,4,8,9] 010110100 => [1,6,2,7,8,3,9,4,5] 010110101 => [1,5,2,6,7,3,8,4,9] 010110110 => [1,5,2,6,7,3,8,9,4] 010110111 => [1,4,2,5,6,3,7,8,9] 010111000 => [1,6,2,7,8,9,3,4,5] 010111001 => [1,5,2,6,7,8,3,4,9] 010111010 => [1,5,2,6,7,8,3,9,4] 010111011 => [1,4,2,5,6,7,3,8,9] 010111100 => [1,5,2,6,7,8,9,3,4] 010111101 => [1,4,2,5,6,7,8,3,9] 010111110 => [1,4,2,5,6,7,8,9,3] 010111111 => [1,3,2,4,5,6,7,8,9] 011000000 => [1,8,9,2,3,4,5,6,7] 011000001 => [1,7,8,2,3,4,5,6,9] 011000010 => [1,7,8,2,3,4,5,9,6] 011000011 => [1,6,7,2,3,4,5,8,9] 011000100 => [1,7,8,2,3,4,9,5,6] 011000101 => [1,6,7,2,3,4,8,5,9] 011000110 => [1,6,7,2,3,4,8,9,5] 011000111 => [1,5,6,2,3,4,7,8,9] 011001000 => [1,7,8,2,3,9,4,5,6] 011001001 => [1,6,7,2,3,8,4,5,9] 011001010 => [1,6,7,2,3,8,4,9,5] 011001011 => [1,5,6,2,3,7,4,8,9] 011001100 => [1,6,7,2,3,8,9,4,5] 011001101 => [1,5,6,2,3,7,8,4,9] 011001110 => [1,5,6,2,3,7,8,9,4] 011001111 => [1,4,5,2,3,6,7,8,9] 011010000 => [1,7,8,2,9,3,4,5,6] 011010001 => [1,6,7,2,8,3,4,5,9] 011010010 => [1,6,7,2,8,3,4,9,5] 011010011 => [1,5,6,2,7,3,4,8,9] 011010100 => [1,6,7,2,8,3,9,4,5] 011010101 => [1,5,6,2,7,3,8,4,9] 011010110 => [1,5,6,2,7,3,8,9,4] 011010111 => [1,4,5,2,6,3,7,8,9] 011011000 => [1,6,7,2,8,9,3,4,5] 011011001 => [1,5,6,2,7,8,3,4,9] 011011010 => [1,5,6,2,7,8,3,9,4] 011011011 => [1,4,5,2,6,7,3,8,9] 011011100 => [1,5,6,2,7,8,9,3,4] 011011101 => [1,4,5,2,6,7,8,3,9] 011011110 => [1,4,5,2,6,7,8,9,3] 011011111 => [1,3,4,2,5,6,7,8,9] 011100000 => [1,7,8,9,2,3,4,5,6] 011100001 => [1,6,7,8,2,3,4,5,9] 011100010 => [1,6,7,8,2,3,4,9,5] 011100011 => [1,5,6,7,2,3,4,8,9] 011100100 => [1,6,7,8,2,3,9,4,5] 011100101 => [1,5,6,7,2,3,8,4,9] 011100110 => [1,5,6,7,2,3,8,9,4] 011100111 => [1,4,5,6,2,3,7,8,9] 011101000 => [1,6,7,8,2,9,3,4,5] 011101001 => [1,5,6,7,2,8,3,4,9] 011101010 => [1,5,6,7,2,8,3,9,4] 011101011 => [1,4,5,6,2,7,3,8,9] 011101100 => [1,5,6,7,2,8,9,3,4] 011101101 => [1,4,5,6,2,7,8,3,9] 011101110 => [1,4,5,6,2,7,8,9,3] 011101111 => [1,3,4,5,2,6,7,8,9] 011110000 => [1,6,7,8,9,2,3,4,5] 011110001 => [1,5,6,7,8,2,3,4,9] 011110010 => [1,5,6,7,8,2,3,9,4] 011110011 => [1,4,5,6,7,2,3,8,9] 011110100 => [1,5,6,7,8,2,9,3,4] 011110101 => [1,4,5,6,7,2,8,3,9] 011110110 => [1,4,5,6,7,2,8,9,3] 011110111 => [1,3,4,5,6,2,7,8,9] 011111000 => [1,5,6,7,8,9,2,3,4] 011111001 => [1,4,5,6,7,8,2,3,9] 011111010 => [1,4,5,6,7,8,2,9,3] 011111011 => [1,3,4,5,6,7,2,8,9] 011111100 => [1,4,5,6,7,8,9,2,3] 011111101 => [1,3,4,5,6,7,8,2,9] 011111110 => [1,3,4,5,6,7,8,9,2] 011111111 => [1,2,3,4,5,6,7,8,9] 100000000 => [9,1,2,3,4,5,6,7,8] 100000001 => [8,1,2,3,4,5,6,7,9] 100000010 => [8,1,2,3,4,5,6,9,7] 100000011 => [7,1,2,3,4,5,6,8,9] 100000100 => [8,1,2,3,4,5,9,6,7] 100000101 => [7,1,2,3,4,5,8,6,9] 100000110 => [7,1,2,3,4,5,8,9,6] 100000111 => [6,1,2,3,4,5,7,8,9] 100001000 => [8,1,2,3,4,9,5,6,7] 100001001 => [7,1,2,3,4,8,5,6,9] 100001010 => [7,1,2,3,4,8,5,9,6] 100001011 => [6,1,2,3,4,7,5,8,9] 100001100 => [7,1,2,3,4,8,9,5,6] 100001101 => [6,1,2,3,4,7,8,5,9] 100001110 => [6,1,2,3,4,7,8,9,5] 100001111 => [5,1,2,3,4,6,7,8,9] 100010000 => [8,1,2,3,9,4,5,6,7] 100010001 => [7,1,2,3,8,4,5,6,9] 100010010 => [7,1,2,3,8,4,5,9,6] 100010011 => [6,1,2,3,7,4,5,8,9] 100010100 => [7,1,2,3,8,4,9,5,6] 100010101 => [6,1,2,3,7,4,8,5,9] 100010110 => [6,1,2,3,7,4,8,9,5] 100010111 => [5,1,2,3,6,4,7,8,9] 100011000 => [7,1,2,3,8,9,4,5,6] 100011001 => [6,1,2,3,7,8,4,5,9] 100011010 => [6,1,2,3,7,8,4,9,5] 100011011 => [5,1,2,3,6,7,4,8,9] 100011100 => [6,1,2,3,7,8,9,4,5] 100011101 => [5,1,2,3,6,7,8,4,9] 100011110 => [5,1,2,3,6,7,8,9,4] 100011111 => [4,1,2,3,5,6,7,8,9] 100100000 => [8,1,2,9,3,4,5,6,7] 100100001 => [7,1,2,8,3,4,5,6,9] 100100010 => [7,1,2,8,3,4,5,9,6] 100100011 => [6,1,2,7,3,4,5,8,9] 100100100 => [7,1,2,8,3,4,9,5,6] 100100101 => [6,1,2,7,3,4,8,5,9] 100100110 => [6,1,2,7,3,4,8,9,5] 100100111 => [5,1,2,6,3,4,7,8,9] 100101000 => [7,1,2,8,3,9,4,5,6] 100101001 => [6,1,2,7,3,8,4,5,9] 100101010 => [6,1,2,7,3,8,4,9,5] 100101011 => [5,1,2,6,3,7,4,8,9] 100101100 => [6,1,2,7,3,8,9,4,5] 100101101 => [5,1,2,6,3,7,8,4,9] 100101110 => [5,1,2,6,3,7,8,9,4] 100101111 => [4,1,2,5,3,6,7,8,9] 100110000 => [7,1,2,8,9,3,4,5,6] 100110001 => [6,1,2,7,8,3,4,5,9] 100110010 => [6,1,2,7,8,3,4,9,5] 100110011 => [5,1,2,6,7,3,4,8,9] 100110100 => [6,1,2,7,8,3,9,4,5] 100110101 => [5,1,2,6,7,3,8,4,9] 100110110 => [5,1,2,6,7,3,8,9,4] 100110111 => [4,1,2,5,6,3,7,8,9] 100111000 => [6,1,2,7,8,9,3,4,5] 100111001 => [5,1,2,6,7,8,3,4,9] 100111010 => [5,1,2,6,7,8,3,9,4] 100111011 => [4,1,2,5,6,7,3,8,9] 100111100 => [5,1,2,6,7,8,9,3,4] 100111101 => [4,1,2,5,6,7,8,3,9] 100111110 => [4,1,2,5,6,7,8,9,3] 100111111 => [3,1,2,4,5,6,7,8,9] 101000000 => [8,1,9,2,3,4,5,6,7] 101000001 => [7,1,8,2,3,4,5,6,9] 101000010 => [7,1,8,2,3,4,5,9,6] 101000011 => [6,1,7,2,3,4,5,8,9] 101000100 => [7,1,8,2,3,4,9,5,6] 101000101 => [6,1,7,2,3,4,8,5,9] 101000110 => [6,1,7,2,3,4,8,9,5] 101000111 => [5,1,6,2,3,4,7,8,9] 101001000 => [7,1,8,2,3,9,4,5,6] 101001001 => [6,1,7,2,3,8,4,5,9] 101001010 => [6,1,7,2,3,8,4,9,5] 101001011 => [5,1,6,2,3,7,4,8,9] 101001100 => [6,1,7,2,3,8,9,4,5] 101001101 => [5,1,6,2,3,7,8,4,9] 101001110 => [5,1,6,2,3,7,8,9,4] 101001111 => [4,1,5,2,3,6,7,8,9] 101010000 => [7,1,8,2,9,3,4,5,6] 101010001 => [6,1,7,2,8,3,4,5,9] 101010010 => [6,1,7,2,8,3,4,9,5] 101010011 => [5,1,6,2,7,3,4,8,9] 101010100 => [6,1,7,2,8,3,9,4,5] 101010101 => [5,1,6,2,7,3,8,4,9] 101010110 => [5,1,6,2,7,3,8,9,4] 101010111 => [4,1,5,2,6,3,7,8,9] 101011000 => [6,1,7,2,8,9,3,4,5] 101011001 => [5,1,6,2,7,8,3,4,9] 101011010 => [5,1,6,2,7,8,3,9,4] 101011011 => [4,1,5,2,6,7,3,8,9] 101011100 => [5,1,6,2,7,8,9,3,4] 101011101 => [4,1,5,2,6,7,8,3,9] 101011110 => [4,1,5,2,6,7,8,9,3] 101011111 => [3,1,4,2,5,6,7,8,9] 101100000 => [7,1,8,9,2,3,4,5,6] 101100001 => [6,1,7,8,2,3,4,5,9] 101100010 => [6,1,7,8,2,3,4,9,5] 101100011 => [5,1,6,7,2,3,4,8,9] 101100100 => [6,1,7,8,2,3,9,4,5] 101100101 => [5,1,6,7,2,3,8,4,9] 101100110 => [5,1,6,7,2,3,8,9,4] 101100111 => [4,1,5,6,2,3,7,8,9] 101101000 => [6,1,7,8,2,9,3,4,5] 101101001 => [5,1,6,7,2,8,3,4,9] 101101010 => [5,1,6,7,2,8,3,9,4] 101101011 => [4,1,5,6,2,7,3,8,9] 101101100 => [5,1,6,7,2,8,9,3,4] 101101101 => [4,1,5,6,2,7,8,3,9] 101101110 => [4,1,5,6,2,7,8,9,3] 101101111 => [3,1,4,5,2,6,7,8,9] 101110000 => [6,1,7,8,9,2,3,4,5] 101110001 => [5,1,6,7,8,2,3,4,9] 101110010 => [5,1,6,7,8,2,3,9,4] 101110011 => [4,1,5,6,7,2,3,8,9] 101110100 => [5,1,6,7,8,2,9,3,4] 101110101 => [4,1,5,6,7,2,8,3,9] 101110110 => [4,1,5,6,7,2,8,9,3] 101110111 => [3,1,4,5,6,2,7,8,9] 101111000 => [5,1,6,7,8,9,2,3,4] 101111001 => [4,1,5,6,7,8,2,3,9] 101111010 => [4,1,5,6,7,8,2,9,3] 101111011 => [3,1,4,5,6,7,2,8,9] 101111100 => [4,1,5,6,7,8,9,2,3] 101111101 => [3,1,4,5,6,7,8,2,9] 101111110 => [3,1,4,5,6,7,8,9,2] 101111111 => [2,1,3,4,5,6,7,8,9] 110000000 => [8,9,1,2,3,4,5,6,7] 110000001 => [7,8,1,2,3,4,5,6,9] 110000010 => [7,8,1,2,3,4,5,9,6] 110000011 => [6,7,1,2,3,4,5,8,9] 110000100 => [7,8,1,2,3,4,9,5,6] 110000101 => [6,7,1,2,3,4,8,5,9] 110000110 => [6,7,1,2,3,4,8,9,5] 110000111 => [5,6,1,2,3,4,7,8,9] 110001000 => [7,8,1,2,3,9,4,5,6] 110001001 => [6,7,1,2,3,8,4,5,9] 110001010 => [6,7,1,2,3,8,4,9,5] 110001011 => [5,6,1,2,3,7,4,8,9] 110001100 => [6,7,1,2,3,8,9,4,5] 110001101 => [5,6,1,2,3,7,8,4,9] 110001110 => [5,6,1,2,3,7,8,9,4] 110001111 => [4,5,1,2,3,6,7,8,9] 110010000 => [7,8,1,2,9,3,4,5,6] 110010001 => [6,7,1,2,8,3,4,5,9] 110010010 => [6,7,1,2,8,3,4,9,5] 110010011 => [5,6,1,2,7,3,4,8,9] 110010100 => [6,7,1,2,8,3,9,4,5] 110010101 => [5,6,1,2,7,3,8,4,9] 110010110 => [5,6,1,2,7,3,8,9,4] 110010111 => [4,5,1,2,6,3,7,8,9] 110011000 => [6,7,1,2,8,9,3,4,5] 110011001 => [5,6,1,2,7,8,3,4,9] 110011010 => [5,6,1,2,7,8,3,9,4] 110011011 => [4,5,1,2,6,7,3,8,9] 110011100 => [5,6,1,2,7,8,9,3,4] 110011101 => [4,5,1,2,6,7,8,3,9] 110011110 => [4,5,1,2,6,7,8,9,3] 110011111 => [3,4,1,2,5,6,7,8,9] 110100000 => [7,8,1,9,2,3,4,5,6] 110100001 => [6,7,1,8,2,3,4,5,9] 110100010 => [6,7,1,8,2,3,4,9,5] 110100011 => [5,6,1,7,2,3,4,8,9] 110100100 => [6,7,1,8,2,3,9,4,5] 110100101 => [5,6,1,7,2,3,8,4,9] 110100110 => [5,6,1,7,2,3,8,9,4] 110100111 => [4,5,1,6,2,3,7,8,9] 110101000 => [6,7,1,8,2,9,3,4,5] 110101001 => [5,6,1,7,2,8,3,4,9] 110101010 => [5,6,1,7,2,8,3,9,4] 110101011 => [4,5,1,6,2,7,3,8,9] 110101100 => [5,6,1,7,2,8,9,3,4] 110101101 => [4,5,1,6,2,7,8,3,9] 110101110 => [4,5,1,6,2,7,8,9,3] 110101111 => [3,4,1,5,2,6,7,8,9] 110110000 => [6,7,1,8,9,2,3,4,5] 110110001 => [5,6,1,7,8,2,3,4,9] 110110010 => [5,6,1,7,8,2,3,9,4] 110110011 => [4,5,1,6,7,2,3,8,9] 110110100 => [5,6,1,7,8,2,9,3,4] 110110101 => [4,5,1,6,7,2,8,3,9] 110110110 => [4,5,1,6,7,2,8,9,3] 110110111 => [3,4,1,5,6,2,7,8,9] 110111000 => [5,6,1,7,8,9,2,3,4] 110111001 => [4,5,1,6,7,8,2,3,9] 110111010 => [4,5,1,6,7,8,2,9,3] 110111011 => [3,4,1,5,6,7,2,8,9] 110111100 => [4,5,1,6,7,8,9,2,3] 110111101 => [3,4,1,5,6,7,8,2,9] 110111110 => [3,4,1,5,6,7,8,9,2] 110111111 => [2,3,1,4,5,6,7,8,9] 111000000 => [7,8,9,1,2,3,4,5,6] 111000001 => [6,7,8,1,2,3,4,5,9] 111000010 => [6,7,8,1,2,3,4,9,5] 111000011 => [5,6,7,1,2,3,4,8,9] 111000100 => [6,7,8,1,2,3,9,4,5] 111000101 => [5,6,7,1,2,3,8,4,9] 111000110 => [5,6,7,1,2,3,8,9,4] 111000111 => [4,5,6,1,2,3,7,8,9] 111001000 => [6,7,8,1,2,9,3,4,5] 111001001 => [5,6,7,1,2,8,3,4,9] 111001010 => [5,6,7,1,2,8,3,9,4] 111001011 => [4,5,6,1,2,7,3,8,9] 111001100 => [5,6,7,1,2,8,9,3,4] 111001101 => [4,5,6,1,2,7,8,3,9] 111001110 => [4,5,6,1,2,7,8,9,3] 111001111 => [3,4,5,1,2,6,7,8,9] 111010000 => [6,7,8,1,9,2,3,4,5] 111010001 => [5,6,7,1,8,2,3,4,9] 111010010 => [5,6,7,1,8,2,3,9,4] 111010011 => [4,5,6,1,7,2,3,8,9] 111010100 => [5,6,7,1,8,2,9,3,4] 111010101 => [4,5,6,1,7,2,8,3,9] 111010110 => [4,5,6,1,7,2,8,9,3] 111010111 => [3,4,5,1,6,2,7,8,9] 111011000 => [5,6,7,1,8,9,2,3,4] 111011001 => [4,5,6,1,7,8,2,3,9] 111011010 => [4,5,6,1,7,8,2,9,3] 111011011 => [3,4,5,1,6,7,2,8,9] 111011100 => [4,5,6,1,7,8,9,2,3] 111011101 => [3,4,5,1,6,7,8,2,9] 111011110 => [3,4,5,1,6,7,8,9,2] 111011111 => [2,3,4,1,5,6,7,8,9] 111100000 => [6,7,8,9,1,2,3,4,5] 111100001 => [5,6,7,8,1,2,3,4,9] 111100010 => [5,6,7,8,1,2,3,9,4] 111100011 => [4,5,6,7,1,2,3,8,9] 111100100 => [5,6,7,8,1,2,9,3,4] 111100101 => [4,5,6,7,1,2,8,3,9] 111100110 => [4,5,6,7,1,2,8,9,3] 111100111 => [3,4,5,6,1,2,7,8,9] 111101000 => [5,6,7,8,1,9,2,3,4] 111101001 => [4,5,6,7,1,8,2,3,9] 111101010 => [4,5,6,7,1,8,2,9,3] 111101011 => [3,4,5,6,1,7,2,8,9] 111101100 => [4,5,6,7,1,8,9,2,3] 111101101 => [3,4,5,6,1,7,8,2,9] 111101110 => [3,4,5,6,1,7,8,9,2] 111101111 => [2,3,4,5,1,6,7,8,9] 111110000 => [5,6,7,8,9,1,2,3,4] 111110001 => [4,5,6,7,8,1,2,3,9] 111110010 => [4,5,6,7,8,1,2,9,3] 111110011 => [3,4,5,6,7,1,2,8,9] 111110100 => [4,5,6,7,8,1,9,2,3] 111110101 => [3,4,5,6,7,1,8,2,9] 111110110 => [3,4,5,6,7,1,8,9,2] 111110111 => [2,3,4,5,6,1,7,8,9] 111111000 => [4,5,6,7,8,9,1,2,3] 111111001 => [3,4,5,6,7,8,1,2,9] 111111010 => [3,4,5,6,7,8,1,9,2] 111111011 => [2,3,4,5,6,7,1,8,9] 111111100 => [3,4,5,6,7,8,9,1,2] 111111101 => [2,3,4,5,6,7,8,1,9] 111111110 => [2,3,4,5,6,7,8,9,1] 111111111 => [1,2,3,4,5,6,7,8,9] ----------------------------------------------------------------------------- Created: Dec 12, 2025 at 12:35 by Estéban Gabory ----------------------------------------------------------------------------- Last Updated: Dec 12, 2025 at 14:14 by Martin Rubey