************************************************************************ * 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: Mp00095 ------------------------------------------------------------------------ Map name: to binary word ------------------------------------------------------------------------ Domain: Integer partitions ------------------------------------------------------------------------ Codomain: Binary words ------------------------------------------------------------------------ Description: Return the partition as binary word, by traversing its shape from the first row to the last row, down steps as 1 and left steps as 0. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(p): if not p: return Words([0,1])([]) res = [1] for (part,nextpart) in zip(p, p[1:]): res += [0]*(part-nextpart) + [1] return Words([0,1])(res + [0]*p[-1]) ------------------------------------------------------------------------ Map images: [1] => 10 [2] => 100 [1,1] => 110 [3] => 1000 [2,1] => 1010 [1,1,1] => 1110 [4] => 10000 [3,1] => 10010 [2,2] => 1100 [2,1,1] => 10110 [1,1,1,1] => 11110 [5] => 100000 [4,1] => 100010 [3,2] => 10100 [3,1,1] => 100110 [2,2,1] => 11010 [2,1,1,1] => 101110 [1,1,1,1,1] => 111110 [6] => 1000000 [5,1] => 1000010 [4,2] => 100100 [4,1,1] => 1000110 [3,3] => 11000 [3,2,1] => 101010 [3,1,1,1] => 1001110 [2,2,2] => 11100 [2,2,1,1] => 110110 [2,1,1,1,1] => 1011110 [1,1,1,1,1,1] => 1111110 [7] => 10000000 [6,1] => 10000010 [5,2] => 1000100 [5,1,1] => 10000110 [4,3] => 101000 [4,2,1] => 1001010 [4,1,1,1] => 10001110 [3,3,1] => 110010 [3,2,2] => 101100 [3,2,1,1] => 1010110 [3,1,1,1,1] => 10011110 [2,2,2,1] => 111010 [2,2,1,1,1] => 1101110 [2,1,1,1,1,1] => 10111110 [1,1,1,1,1,1,1] => 11111110 [8] => 100000000 [7,1] => 100000010 [6,2] => 10000100 [6,1,1] => 100000110 [5,3] => 1001000 [5,2,1] => 10001010 [5,1,1,1] => 100001110 [4,4] => 110000 [4,3,1] => 1010010 [4,2,2] => 1001100 [4,2,1,1] => 10010110 [4,1,1,1,1] => 100011110 [3,3,2] => 110100 [3,3,1,1] => 1100110 [3,2,2,1] => 1011010 [3,2,1,1,1] => 10101110 [3,1,1,1,1,1] => 100111110 [2,2,2,2] => 111100 [2,2,2,1,1] => 1110110 [2,2,1,1,1,1] => 11011110 [2,1,1,1,1,1,1] => 101111110 [1,1,1,1,1,1,1,1] => 111111110 [9] => 1000000000 [8,1] => 1000000010 [7,2] => 100000100 [7,1,1] => 1000000110 [6,3] => 10001000 [6,2,1] => 100001010 [6,1,1,1] => 1000001110 [5,4] => 1010000 [5,3,1] => 10010010 [5,2,2] => 10001100 [5,2,1,1] => 100010110 [5,1,1,1,1] => 1000011110 [4,4,1] => 1100010 [4,3,2] => 1010100 [4,3,1,1] => 10100110 [4,2,2,1] => 10011010 [4,2,1,1,1] => 100101110 [4,1,1,1,1,1] => 1000111110 [3,3,3] => 111000 [3,3,2,1] => 1101010 [3,3,1,1,1] => 11001110 [3,2,2,2] => 1011100 [3,2,2,1,1] => 10110110 [3,2,1,1,1,1] => 101011110 [3,1,1,1,1,1,1] => 1001111110 [2,2,2,2,1] => 1111010 [2,2,2,1,1,1] => 11101110 [2,2,1,1,1,1,1] => 110111110 [2,1,1,1,1,1,1,1] => 1011111110 [1,1,1,1,1,1,1,1,1] => 1111111110 [10] => 10000000000 [9,1] => 10000000010 [8,2] => 1000000100 [8,1,1] => 10000000110 [7,3] => 100001000 [7,2,1] => 1000001010 [7,1,1,1] => 10000001110 [6,4] => 10010000 [6,3,1] => 100010010 [6,2,2] => 100001100 [6,2,1,1] => 1000010110 [6,1,1,1,1] => 10000011110 [5,5] => 1100000 [5,4,1] => 10100010 [5,3,2] => 10010100 [5,3,1,1] => 100100110 [5,2,2,1] => 100011010 [5,2,1,1,1] => 1000101110 [5,1,1,1,1,1] => 10000111110 [4,4,2] => 1100100 [4,4,1,1] => 11000110 [4,3,3] => 1011000 [4,3,2,1] => 10101010 [4,3,1,1,1] => 101001110 [4,2,2,2] => 10011100 [4,2,2,1,1] => 100110110 [4,2,1,1,1,1] => 1001011110 [4,1,1,1,1,1,1] => 10001111110 [3,3,3,1] => 1110010 [3,3,2,2] => 1101100 [3,3,2,1,1] => 11010110 [3,3,1,1,1,1] => 110011110 [3,2,2,2,1] => 10111010 [3,2,2,1,1,1] => 101101110 [3,2,1,1,1,1,1] => 1010111110 [3,1,1,1,1,1,1,1] => 10011111110 [2,2,2,2,2] => 1111100 [2,2,2,2,1,1] => 11110110 [2,2,2,1,1,1,1] => 111011110 [2,2,1,1,1,1,1,1] => 1101111110 [2,1,1,1,1,1,1,1,1] => 10111111110 [1,1,1,1,1,1,1,1,1,1] => 11111111110 [11] => 100000000000 [10,1] => 100000000010 [9,2] => 10000000100 [9,1,1] => 100000000110 [8,3] => 1000001000 [8,2,1] => 10000001010 [8,1,1,1] => 100000001110 [7,4] => 100010000 [7,3,1] => 1000010010 [7,2,2] => 1000001100 [7,2,1,1] => 10000010110 [7,1,1,1,1] => 100000011110 [6,5] => 10100000 [6,4,1] => 100100010 [6,3,2] => 100010100 [6,3,1,1] => 1000100110 [6,2,2,1] => 1000011010 [6,2,1,1,1] => 10000101110 [6,1,1,1,1,1] => 100000111110 [5,5,1] => 11000010 [5,4,2] => 10100100 [5,4,1,1] => 101000110 [5,3,3] => 10011000 [5,3,2,1] => 100101010 [5,3,1,1,1] => 1001001110 [5,2,2,2] => 100011100 [5,2,2,1,1] => 1000110110 [5,2,1,1,1,1] => 10001011110 [5,1,1,1,1,1,1] => 100001111110 [4,4,3] => 1101000 [4,4,2,1] => 11001010 [4,4,1,1,1] => 110001110 [4,3,3,1] => 10110010 [4,3,2,2] => 10101100 [4,3,2,1,1] => 101010110 [4,3,1,1,1,1] => 1010011110 [4,2,2,2,1] => 100111010 [4,2,2,1,1,1] => 1001101110 [4,2,1,1,1,1,1] => 10010111110 [4,1,1,1,1,1,1,1] => 100011111110 [3,3,3,2] => 1110100 [3,3,3,1,1] => 11100110 [3,3,2,2,1] => 11011010 [3,3,2,1,1,1] => 110101110 [3,3,1,1,1,1,1] => 1100111110 [3,2,2,2,2] => 10111100 [3,2,2,2,1,1] => 101110110 [3,2,2,1,1,1,1] => 1011011110 [3,2,1,1,1,1,1,1] => 10101111110 [3,1,1,1,1,1,1,1,1] => 100111111110 [2,2,2,2,2,1] => 11111010 [2,2,2,2,1,1,1] => 111101110 [2,2,2,1,1,1,1,1] => 1110111110 [2,2,1,1,1,1,1,1,1] => 11011111110 [2,1,1,1,1,1,1,1,1,1] => 101111111110 [1,1,1,1,1,1,1,1,1,1,1] => 111111111110 [12] => 1000000000000 [11,1] => 1000000000010 [10,2] => 100000000100 [10,1,1] => 1000000000110 [9,3] => 10000001000 [9,2,1] => 100000001010 [9,1,1,1] => 1000000001110 [8,4] => 1000010000 [8,3,1] => 10000010010 [8,2,2] => 10000001100 [8,2,1,1] => 100000010110 [8,1,1,1,1] => 1000000011110 [7,5] => 100100000 [7,4,1] => 1000100010 [7,3,2] => 1000010100 [7,3,1,1] => 10000100110 [7,2,2,1] => 10000011010 [7,2,1,1,1] => 100000101110 [7,1,1,1,1,1] => 1000000111110 [6,6] => 11000000 [6,5,1] => 101000010 [6,4,2] => 100100100 [6,4,1,1] => 1001000110 [6,3,3] => 100011000 [6,3,2,1] => 1000101010 [6,3,1,1,1] => 10001001110 [6,2,2,2] => 1000011100 [6,2,2,1,1] => 10000110110 [6,2,1,1,1,1] => 100001011110 [6,1,1,1,1,1,1] => 1000001111110 [5,5,2] => 11000100 [5,5,1,1] => 110000110 [5,4,3] => 10101000 [5,4,2,1] => 101001010 [5,4,1,1,1] => 1010001110 [5,3,3,1] => 100110010 [5,3,2,2] => 100101100 [5,3,2,1,1] => 1001010110 [5,3,1,1,1,1] => 10010011110 [5,2,2,2,1] => 1000111010 [5,2,2,1,1,1] => 10001101110 [5,2,1,1,1,1,1] => 100010111110 [5,1,1,1,1,1,1,1] => 1000011111110 [4,4,4] => 1110000 [4,4,3,1] => 11010010 [4,4,2,2] => 11001100 [4,4,2,1,1] => 110010110 [4,4,1,1,1,1] => 1100011110 [4,3,3,2] => 10110100 [4,3,3,1,1] => 101100110 [4,3,2,2,1] => 101011010 [4,3,2,1,1,1] => 1010101110 [4,3,1,1,1,1,1] => 10100111110 [4,2,2,2,2] => 100111100 [4,2,2,2,1,1] => 1001110110 [4,2,2,1,1,1,1] => 10011011110 [4,2,1,1,1,1,1,1] => 100101111110 [4,1,1,1,1,1,1,1,1] => 1000111111110 [3,3,3,3] => 1111000 [3,3,3,2,1] => 11101010 [3,3,3,1,1,1] => 111001110 [3,3,2,2,2] => 11011100 [3,3,2,2,1,1] => 110110110 [3,3,2,1,1,1,1] => 1101011110 [3,3,1,1,1,1,1,1] => 11001111110 [3,2,2,2,2,1] => 101111010 [3,2,2,2,1,1,1] => 1011101110 [3,2,2,1,1,1,1,1] => 10110111110 [3,2,1,1,1,1,1,1,1] => 101011111110 [3,1,1,1,1,1,1,1,1,1] => 1001111111110 [2,2,2,2,2,2] => 11111100 [2,2,2,2,2,1,1] => 111110110 [2,2,2,2,1,1,1,1] => 1111011110 [2,2,2,1,1,1,1,1,1] => 11101111110 [2,2,1,1,1,1,1,1,1,1] => 110111111110 [2,1,1,1,1,1,1,1,1,1,1] => 1011111111110 [1,1,1,1,1,1,1,1,1,1,1,1] => 1111111111110 [13] => 10000000000000 [12,1] => 10000000000010 [11,2] => 1000000000100 [11,1,1] => 10000000000110 [10,3] => 100000001000 [10,2,1] => 1000000001010 [10,1,1,1] => 10000000001110 [9,4] => 10000010000 [9,3,1] => 100000010010 [9,2,2] => 100000001100 [9,2,1,1] => 1000000010110 [9,1,1,1,1] => 10000000011110 [8,5] => 1000100000 [8,4,1] => 10000100010 [8,3,2] => 10000010100 [8,3,1,1] => 100000100110 [8,2,2,1] => 100000011010 [8,2,1,1,1] => 1000000101110 [8,1,1,1,1,1] => 10000000111110 [7,6] => 101000000 [7,5,1] => 1001000010 [7,4,2] => 1000100100 [7,4,1,1] => 10001000110 [7,3,3] => 1000011000 [7,3,2,1] => 10000101010 [7,3,1,1,1] => 100001001110 [7,2,2,2] => 10000011100 [7,2,2,1,1] => 100000110110 [7,2,1,1,1,1] => 1000001011110 [7,1,1,1,1,1,1] => 10000001111110 [6,6,1] => 110000010 [6,5,2] => 101000100 [6,5,1,1] => 1010000110 [6,4,3] => 100101000 [6,4,2,1] => 1001001010 [6,4,1,1,1] => 10010001110 [6,3,3,1] => 1000110010 [6,3,2,2] => 1000101100 [6,3,2,1,1] => 10001010110 [6,3,1,1,1,1] => 100010011110 [6,2,2,2,1] => 10000111010 [6,2,2,1,1,1] => 100001101110 [6,2,1,1,1,1,1] => 1000010111110 [6,1,1,1,1,1,1,1] => 10000011111110 [5,5,3] => 11001000 [5,5,2,1] => 110001010 [5,5,1,1,1] => 1100001110 [5,4,4] => 10110000 [5,4,3,1] => 101010010 [5,4,2,2] => 101001100 [5,4,2,1,1] => 1010010110 [5,4,1,1,1,1] => 10100011110 [5,3,3,2] => 100110100 [5,3,3,1,1] => 1001100110 [5,3,2,2,1] => 1001011010 [5,3,2,1,1,1] => 10010101110 [5,3,1,1,1,1,1] => 100100111110 [5,2,2,2,2] => 1000111100 [5,2,2,2,1,1] => 10001110110 [5,2,2,1,1,1,1] => 100011011110 [5,2,1,1,1,1,1,1] => 1000101111110 [5,1,1,1,1,1,1,1,1] => 10000111111110 [4,4,4,1] => 11100010 [4,4,3,2] => 11010100 [4,4,3,1,1] => 110100110 [4,4,2,2,1] => 110011010 [4,4,2,1,1,1] => 1100101110 [4,4,1,1,1,1,1] => 11000111110 [4,3,3,3] => 10111000 [4,3,3,2,1] => 101101010 [4,3,3,1,1,1] => 1011001110 [4,3,2,2,2] => 101011100 [4,3,2,2,1,1] => 1010110110 [4,3,2,1,1,1,1] => 10101011110 [4,3,1,1,1,1,1,1] => 101001111110 [4,2,2,2,2,1] => 1001111010 [4,2,2,2,1,1,1] => 10011101110 [4,2,2,1,1,1,1,1] => 100110111110 [4,2,1,1,1,1,1,1,1] => 1001011111110 [4,1,1,1,1,1,1,1,1,1] => 10001111111110 [3,3,3,3,1] => 11110010 [3,3,3,2,2] => 11101100 [3,3,3,2,1,1] => 111010110 [3,3,3,1,1,1,1] => 1110011110 [3,3,2,2,2,1] => 110111010 [3,3,2,2,1,1,1] => 1101101110 [3,3,2,1,1,1,1,1] => 11010111110 [3,3,1,1,1,1,1,1,1] => 110011111110 [3,2,2,2,2,2] => 101111100 [3,2,2,2,2,1,1] => 1011110110 [3,2,2,2,1,1,1,1] => 10111011110 [3,2,2,1,1,1,1,1,1] => 101101111110 [3,2,1,1,1,1,1,1,1,1] => 1010111111110 [3,1,1,1,1,1,1,1,1,1,1] => 10011111111110 [2,2,2,2,2,2,1] => 111111010 [2,2,2,2,2,1,1,1] => 1111101110 [2,2,2,2,1,1,1,1,1] => 11110111110 [2,2,2,1,1,1,1,1,1,1] => 111011111110 [2,2,1,1,1,1,1,1,1,1,1] => 1101111111110 [2,1,1,1,1,1,1,1,1,1,1,1] => 10111111111110 [1,1,1,1,1,1,1,1,1,1,1,1,1] => 11111111111110 [14] => 100000000000000 [13,1] => 100000000000010 [12,2] => 10000000000100 [12,1,1] => 100000000000110 [11,3] => 1000000001000 [11,2,1] => 10000000001010 [11,1,1,1] => 100000000001110 [10,4] => 100000010000 [10,3,1] => 1000000010010 [10,2,2] => 1000000001100 [10,2,1,1] => 10000000010110 [10,1,1,1,1] => 100000000011110 [9,5] => 10000100000 [9,4,1] => 100000100010 [9,3,2] => 100000010100 [9,3,1,1] => 1000000100110 [9,2,2,1] => 1000000011010 [9,2,1,1,1] => 10000000101110 [9,1,1,1,1,1] => 100000000111110 [8,6] => 1001000000 [8,5,1] => 10001000010 [8,4,2] => 10000100100 [8,4,1,1] => 100001000110 [8,3,3] => 10000011000 [8,3,2,1] => 100000101010 [8,3,1,1,1] => 1000001001110 [8,2,2,2] => 100000011100 [8,2,2,1,1] => 1000000110110 [8,2,1,1,1,1] => 10000001011110 [8,1,1,1,1,1,1] => 100000001111110 [7,7] => 110000000 [7,6,1] => 1010000010 [7,5,2] => 1001000100 [7,5,1,1] => 10010000110 [7,4,3] => 1000101000 [7,4,2,1] => 10001001010 [7,4,1,1,1] => 100010001110 [7,3,3,1] => 10000110010 [7,3,2,2] => 10000101100 [7,3,2,1,1] => 100001010110 [7,3,1,1,1,1] => 1000010011110 [7,2,2,2,1] => 100000111010 [7,2,2,1,1,1] => 1000001101110 [7,2,1,1,1,1,1] => 10000010111110 [7,1,1,1,1,1,1,1] => 100000011111110 [6,6,2] => 110000100 [6,6,1,1] => 1100000110 [6,5,3] => 101001000 [6,5,2,1] => 1010001010 [6,5,1,1,1] => 10100001110 [6,4,4] => 100110000 [6,4,3,1] => 1001010010 [6,4,2,2] => 1001001100 [6,4,2,1,1] => 10010010110 [6,4,1,1,1,1] => 100100011110 [6,3,3,2] => 1000110100 [6,3,3,1,1] => 10001100110 [6,3,2,2,1] => 10001011010 [6,3,2,1,1,1] => 100010101110 [6,3,1,1,1,1,1] => 1000100111110 [6,2,2,2,2] => 10000111100 [6,2,2,2,1,1] => 100001110110 [6,2,2,1,1,1,1] => 1000011011110 [6,2,1,1,1,1,1,1] => 10000101111110 [6,1,1,1,1,1,1,1,1] => 100000111111110 [5,5,4] => 11010000 [5,5,3,1] => 110010010 [5,5,2,2] => 110001100 [5,5,2,1,1] => 1100010110 [5,5,1,1,1,1] => 11000011110 [5,4,4,1] => 101100010 [5,4,3,2] => 101010100 [5,4,3,1,1] => 1010100110 [5,4,2,2,1] => 1010011010 [5,4,2,1,1,1] => 10100101110 [5,4,1,1,1,1,1] => 101000111110 [5,3,3,3] => 100111000 [5,3,3,2,1] => 1001101010 [5,3,3,1,1,1] => 10011001110 [5,3,2,2,2] => 1001011100 [5,3,2,2,1,1] => 10010110110 [5,3,2,1,1,1,1] => 100101011110 [5,3,1,1,1,1,1,1] => 1001001111110 [5,2,2,2,2,1] => 10001111010 [5,2,2,2,1,1,1] => 100011101110 [5,2,2,1,1,1,1,1] => 1000110111110 [5,2,1,1,1,1,1,1,1] => 10001011111110 [5,1,1,1,1,1,1,1,1,1] => 100001111111110 [4,4,4,2] => 11100100 [4,4,4,1,1] => 111000110 [4,4,3,3] => 11011000 [4,4,3,2,1] => 110101010 [4,4,3,1,1,1] => 1101001110 [4,4,2,2,2] => 110011100 [4,4,2,2,1,1] => 1100110110 [4,4,2,1,1,1,1] => 11001011110 [4,4,1,1,1,1,1,1] => 110001111110 [4,3,3,3,1] => 101110010 [4,3,3,2,2] => 101101100 [4,3,3,2,1,1] => 1011010110 [4,3,3,1,1,1,1] => 10110011110 [4,3,2,2,2,1] => 1010111010 [4,3,2,2,1,1,1] => 10101101110 [4,3,2,1,1,1,1,1] => 101010111110 [4,3,1,1,1,1,1,1,1] => 1010011111110 [4,2,2,2,2,2] => 1001111100 [4,2,2,2,2,1,1] => 10011110110 [4,2,2,2,1,1,1,1] => 100111011110 [4,2,2,1,1,1,1,1,1] => 1001101111110 [4,2,1,1,1,1,1,1,1,1] => 10010111111110 [4,1,1,1,1,1,1,1,1,1,1] => 100011111111110 [3,3,3,3,2] => 11110100 [3,3,3,3,1,1] => 111100110 [3,3,3,2,2,1] => 111011010 [3,3,3,2,1,1,1] => 1110101110 [3,3,3,1,1,1,1,1] => 11100111110 [3,3,2,2,2,2] => 110111100 [3,3,2,2,2,1,1] => 1101110110 [3,3,2,2,1,1,1,1] => 11011011110 [3,3,2,1,1,1,1,1,1] => 110101111110 [3,3,1,1,1,1,1,1,1,1] => 1100111111110 [3,2,2,2,2,2,1] => 1011111010 [3,2,2,2,2,1,1,1] => 10111101110 [3,2,2,2,1,1,1,1,1] => 101110111110 [3,2,2,1,1,1,1,1,1,1] => 1011011111110 [3,2,1,1,1,1,1,1,1,1,1] => 10101111111110 [3,1,1,1,1,1,1,1,1,1,1,1] => 100111111111110 [2,2,2,2,2,2,2] => 111111100 [2,2,2,2,2,2,1,1] => 1111110110 [2,2,2,2,2,1,1,1,1] => 11111011110 [2,2,2,2,1,1,1,1,1,1] => 111101111110 [2,2,2,1,1,1,1,1,1,1,1] => 1110111111110 [2,2,1,1,1,1,1,1,1,1,1,1] => 11011111111110 [2,1,1,1,1,1,1,1,1,1,1,1,1] => 101111111111110 [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 111111111111110 [15] => 1000000000000000 [14,1] => 1000000000000010 [13,2] => 100000000000100 [13,1,1] => 1000000000000110 [12,3] => 10000000001000 [12,2,1] => 100000000001010 [12,1,1,1] => 1000000000001110 [11,4] => 1000000010000 [11,3,1] => 10000000010010 [11,2,2] => 10000000001100 [11,2,1,1] => 100000000010110 [11,1,1,1,1] => 1000000000011110 [10,5] => 100000100000 [10,4,1] => 1000000100010 [10,3,2] => 1000000010100 [10,3,1,1] => 10000000100110 [10,2,2,1] => 10000000011010 [10,2,1,1,1] => 100000000101110 [10,1,1,1,1,1] => 1000000000111110 [9,6] => 10001000000 [9,5,1] => 100001000010 [9,4,2] => 100000100100 [9,4,1,1] => 1000001000110 [9,3,3] => 100000011000 [9,3,2,1] => 1000000101010 [9,3,1,1,1] => 10000001001110 [9,2,2,2] => 1000000011100 [9,2,2,1,1] => 10000000110110 [9,2,1,1,1,1] => 100000001011110 [9,1,1,1,1,1,1] => 1000000001111110 [8,7] => 1010000000 [8,6,1] => 10010000010 [8,5,2] => 10001000100 [8,5,1,1] => 100010000110 [8,4,3] => 10000101000 [8,4,2,1] => 100001001010 [8,4,1,1,1] => 1000010001110 [8,3,3,1] => 100000110010 [8,3,2,2] => 100000101100 [8,3,2,1,1] => 1000001010110 [8,3,1,1,1,1] => 10000010011110 [8,2,2,2,1] => 1000000111010 [8,2,2,1,1,1] => 10000001101110 [8,2,1,1,1,1,1] => 100000010111110 [8,1,1,1,1,1,1,1] => 1000000011111110 [7,7,1] => 1100000010 [7,6,2] => 1010000100 [7,6,1,1] => 10100000110 [7,5,3] => 1001001000 [7,5,2,1] => 10010001010 [7,5,1,1,1] => 100100001110 [7,4,4] => 1000110000 [7,4,3,1] => 10001010010 [7,4,2,2] => 10001001100 [7,4,2,1,1] => 100010010110 [7,4,1,1,1,1] => 1000100011110 [7,3,3,2] => 10000110100 [7,3,3,1,1] => 100001100110 [7,3,2,2,1] => 100001011010 [7,3,2,1,1,1] => 1000010101110 [7,3,1,1,1,1,1] => 10000100111110 [7,2,2,2,2] => 100000111100 [7,2,2,2,1,1] => 1000001110110 [7,2,2,1,1,1,1] => 10000011011110 [7,2,1,1,1,1,1,1] => 100000101111110 [7,1,1,1,1,1,1,1,1] => 1000000111111110 [6,6,3] => 110001000 [6,6,2,1] => 1100001010 [6,6,1,1,1] => 11000001110 [6,5,4] => 101010000 [6,5,3,1] => 1010010010 [6,5,2,2] => 1010001100 [6,5,2,1,1] => 10100010110 [6,5,1,1,1,1] => 101000011110 [6,4,4,1] => 1001100010 [6,4,3,2] => 1001010100 [6,4,3,1,1] => 10010100110 [6,4,2,2,1] => 10010011010 [6,4,2,1,1,1] => 100100101110 [6,4,1,1,1,1,1] => 1001000111110 [6,3,3,3] => 1000111000 [6,3,3,2,1] => 10001101010 [6,3,3,1,1,1] => 100011001110 [6,3,2,2,2] => 10001011100 [6,3,2,2,1,1] => 100010110110 [6,3,2,1,1,1,1] => 1000101011110 [6,3,1,1,1,1,1,1] => 10001001111110 [6,2,2,2,2,1] => 100001111010 [6,2,2,2,1,1,1] => 1000011101110 [6,2,2,1,1,1,1,1] => 10000110111110 [6,2,1,1,1,1,1,1,1] => 100001011111110 [6,1,1,1,1,1,1,1,1,1] => 1000001111111110 [5,5,5] => 11100000 [5,5,4,1] => 110100010 [5,5,3,2] => 110010100 [5,5,3,1,1] => 1100100110 [5,5,2,2,1] => 1100011010 [5,5,2,1,1,1] => 11000101110 [5,5,1,1,1,1,1] => 110000111110 [5,4,4,2] => 101100100 [5,4,4,1,1] => 1011000110 [5,4,3,3] => 101011000 [5,4,3,2,1] => 1010101010 [5,4,3,1,1,1] => 10101001110 [5,4,2,2,2] => 1010011100 [5,4,2,2,1,1] => 10100110110 [5,4,2,1,1,1,1] => 101001011110 [5,4,1,1,1,1,1,1] => 1010001111110 [5,3,3,3,1] => 1001110010 [5,3,3,2,2] => 1001101100 [5,3,3,2,1,1] => 10011010110 [5,3,3,1,1,1,1] => 100110011110 [5,3,2,2,2,1] => 10010111010 [5,3,2,2,1,1,1] => 100101101110 [5,3,2,1,1,1,1,1] => 1001010111110 [5,3,1,1,1,1,1,1,1] => 10010011111110 [5,2,2,2,2,2] => 10001111100 [5,2,2,2,2,1,1] => 100011110110 [5,2,2,2,1,1,1,1] => 1000111011110 [5,2,2,1,1,1,1,1,1] => 10001101111110 [5,2,1,1,1,1,1,1,1,1] => 100010111111110 [5,1,1,1,1,1,1,1,1,1,1] => 1000011111111110 [4,4,4,3] => 11101000 [4,4,4,2,1] => 111001010 [4,4,4,1,1,1] => 1110001110 [4,4,3,3,1] => 110110010 [4,4,3,2,2] => 110101100 [4,4,3,2,1,1] => 1101010110 [4,4,3,1,1,1,1] => 11010011110 [4,4,2,2,2,1] => 1100111010 [4,4,2,2,1,1,1] => 11001101110 [4,4,2,1,1,1,1,1] => 110010111110 [4,4,1,1,1,1,1,1,1] => 1100011111110 [4,3,3,3,2] => 101110100 [4,3,3,3,1,1] => 1011100110 [4,3,3,2,2,1] => 1011011010 [4,3,3,2,1,1,1] => 10110101110 [4,3,3,1,1,1,1,1] => 101100111110 [4,3,2,2,2,2] => 1010111100 [4,3,2,2,2,1,1] => 10101110110 [4,3,2,2,1,1,1,1] => 101011011110 [4,3,2,1,1,1,1,1,1] => 1010101111110 [4,3,1,1,1,1,1,1,1,1] => 10100111111110 [4,2,2,2,2,2,1] => 10011111010 [4,2,2,2,2,1,1,1] => 100111101110 [4,2,2,2,1,1,1,1,1] => 1001110111110 [4,2,2,1,1,1,1,1,1,1] => 10011011111110 [4,2,1,1,1,1,1,1,1,1,1] => 100101111111110 [4,1,1,1,1,1,1,1,1,1,1,1] => 1000111111111110 [3,3,3,3,3] => 11111000 [3,3,3,3,2,1] => 111101010 [3,3,3,3,1,1,1] => 1111001110 [3,3,3,2,2,2] => 111011100 [3,3,3,2,2,1,1] => 1110110110 [3,3,3,2,1,1,1,1] => 11101011110 [3,3,3,1,1,1,1,1,1] => 111001111110 [3,3,2,2,2,2,1] => 1101111010 [3,3,2,2,2,1,1,1] => 11011101110 [3,3,2,2,1,1,1,1,1] => 110110111110 [3,3,2,1,1,1,1,1,1,1] => 1101011111110 [3,3,1,1,1,1,1,1,1,1,1] => 11001111111110 [3,2,2,2,2,2,2] => 1011111100 [3,2,2,2,2,2,1,1] => 10111110110 [3,2,2,2,2,1,1,1,1] => 101111011110 [3,2,2,2,1,1,1,1,1,1] => 1011101111110 [3,2,2,1,1,1,1,1,1,1,1] => 10110111111110 [3,2,1,1,1,1,1,1,1,1,1,1] => 101011111111110 [3,1,1,1,1,1,1,1,1,1,1,1,1] => 1001111111111110 [2,2,2,2,2,2,2,1] => 1111111010 [2,2,2,2,2,2,1,1,1] => 11111101110 [2,2,2,2,2,1,1,1,1,1] => 111110111110 [2,2,2,2,1,1,1,1,1,1,1] => 1111011111110 [2,2,2,1,1,1,1,1,1,1,1,1] => 11101111111110 [2,2,1,1,1,1,1,1,1,1,1,1,1] => 110111111111110 [2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 1011111111111110 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 1111111111111110 [16] => 10000000000000000 [15,1] => 10000000000000010 [14,2] => 1000000000000100 [14,1,1] => 10000000000000110 [13,3] => 100000000001000 [13,2,1] => 1000000000001010 [13,1,1,1] => 10000000000001110 [12,4] => 10000000010000 [12,3,1] => 100000000010010 [12,2,2] => 100000000001100 [12,2,1,1] => 1000000000010110 [12,1,1,1,1] => 10000000000011110 [11,5] => 1000000100000 [11,4,1] => 10000000100010 [11,3,2] => 10000000010100 [11,3,1,1] => 100000000100110 [11,2,2,1] => 100000000011010 [11,2,1,1,1] => 1000000000101110 [11,1,1,1,1,1] => 10000000000111110 [10,6] => 100001000000 [10,5,1] => 1000001000010 [10,4,2] => 1000000100100 [10,4,1,1] => 10000001000110 [10,3,3] => 1000000011000 [10,3,2,1] => 10000000101010 [10,3,1,1,1] => 100000001001110 [10,2,2,2] => 10000000011100 [10,2,2,1,1] => 100000000110110 [10,2,1,1,1,1] => 1000000001011110 [10,1,1,1,1,1,1] => 10000000001111110 [9,7] => 10010000000 [9,6,1] => 100010000010 [9,5,2] => 100001000100 [9,5,1,1] => 1000010000110 [9,4,3] => 100000101000 [9,4,2,1] => 1000001001010 [9,4,1,1,1] => 10000010001110 [9,3,3,1] => 1000000110010 [9,3,2,2] => 1000000101100 [9,3,2,1,1] => 10000001010110 [9,3,1,1,1,1] => 100000010011110 [9,2,2,2,1] => 10000000111010 [9,2,2,1,1,1] => 100000001101110 [9,2,1,1,1,1,1] => 1000000010111110 [9,1,1,1,1,1,1,1] => 10000000011111110 [8,8] => 1100000000 [8,7,1] => 10100000010 [8,6,2] => 10010000100 [8,6,1,1] => 100100000110 [8,5,3] => 10001001000 [8,5,2,1] => 100010001010 [8,5,1,1,1] => 1000100001110 [8,4,4] => 10000110000 [8,4,3,1] => 100001010010 [8,4,2,2] => 100001001100 [8,4,2,1,1] => 1000010010110 [8,4,1,1,1,1] => 10000100011110 [8,3,3,2] => 100000110100 [8,3,3,1,1] => 1000001100110 [8,3,2,2,1] => 1000001011010 [8,3,2,1,1,1] => 10000010101110 [8,3,1,1,1,1,1] => 100000100111110 [8,2,2,2,2] => 1000000111100 [8,2,2,2,1,1] => 10000001110110 [8,2,2,1,1,1,1] => 100000011011110 [8,2,1,1,1,1,1,1] => 1000000101111110 [8,1,1,1,1,1,1,1,1] => 10000000111111110 [7,7,2] => 1100000100 [7,7,1,1] => 11000000110 [7,6,3] => 1010001000 [7,6,2,1] => 10100001010 [7,6,1,1,1] => 101000001110 [7,5,4] => 1001010000 [7,5,3,1] => 10010010010 [7,5,2,2] => 10010001100 [7,5,2,1,1] => 100100010110 [7,5,1,1,1,1] => 1001000011110 [7,4,4,1] => 10001100010 [7,4,3,2] => 10001010100 [7,4,3,1,1] => 100010100110 [7,4,2,2,1] => 100010011010 [7,4,2,1,1,1] => 1000100101110 [7,4,1,1,1,1,1] => 10001000111110 [7,3,3,3] => 10000111000 [7,3,3,2,1] => 100001101010 [7,3,3,1,1,1] => 1000011001110 [7,3,2,2,2] => 100001011100 [7,3,2,2,1,1] => 1000010110110 [7,3,2,1,1,1,1] => 10000101011110 [7,3,1,1,1,1,1,1] => 100001001111110 [7,2,2,2,2,1] => 1000001111010 [7,2,2,2,1,1,1] => 10000011101110 [7,2,2,1,1,1,1,1] => 100000110111110 [7,2,1,1,1,1,1,1,1] => 1000001011111110 [7,1,1,1,1,1,1,1,1,1] => 10000001111111110 [6,6,4] => 110010000 [6,6,3,1] => 1100010010 [6,6,2,2] => 1100001100 [6,6,2,1,1] => 11000010110 [6,6,1,1,1,1] => 110000011110 [6,5,5] => 101100000 [6,5,4,1] => 1010100010 [6,5,3,2] => 1010010100 [6,5,3,1,1] => 10100100110 [6,5,2,2,1] => 10100011010 [6,5,2,1,1,1] => 101000101110 [6,5,1,1,1,1,1] => 1010000111110 [6,4,4,2] => 1001100100 [6,4,4,1,1] => 10011000110 [6,4,3,3] => 1001011000 [6,4,3,2,1] => 10010101010 [6,4,3,1,1,1] => 100101001110 [6,4,2,2,2] => 10010011100 [6,4,2,2,1,1] => 100100110110 [6,4,2,1,1,1,1] => 1001001011110 [6,4,1,1,1,1,1,1] => 10010001111110 [6,3,3,3,1] => 10001110010 [6,3,3,2,2] => 10001101100 [6,3,3,2,1,1] => 100011010110 [6,3,3,1,1,1,1] => 1000110011110 [6,3,2,2,2,1] => 100010111010 [6,3,2,2,1,1,1] => 1000101101110 [6,3,2,1,1,1,1,1] => 10001010111110 [6,3,1,1,1,1,1,1,1] => 100010011111110 [6,2,2,2,2,2] => 100001111100 [6,2,2,2,2,1,1] => 1000011110110 [6,2,2,2,1,1,1,1] => 10000111011110 [6,2,2,1,1,1,1,1,1] => 100001101111110 [6,2,1,1,1,1,1,1,1,1] => 1000010111111110 [6,1,1,1,1,1,1,1,1,1,1] => 10000011111111110 [5,5,5,1] => 111000010 [5,5,4,2] => 110100100 [5,5,4,1,1] => 1101000110 [5,5,3,3] => 110011000 [5,5,3,2,1] => 1100101010 [5,5,3,1,1,1] => 11001001110 [5,5,2,2,2] => 1100011100 [5,5,2,2,1,1] => 11000110110 [5,5,2,1,1,1,1] => 110001011110 [5,5,1,1,1,1,1,1] => 1100001111110 [5,4,4,3] => 101101000 [5,4,4,2,1] => 1011001010 [5,4,4,1,1,1] => 10110001110 [5,4,3,3,1] => 1010110010 [5,4,3,2,2] => 1010101100 [5,4,3,2,1,1] => 10101010110 [5,4,3,1,1,1,1] => 101010011110 [5,4,2,2,2,1] => 10100111010 [5,4,2,2,1,1,1] => 101001101110 [5,4,2,1,1,1,1,1] => 1010010111110 [5,4,1,1,1,1,1,1,1] => 10100011111110 [5,3,3,3,2] => 1001110100 [5,3,3,3,1,1] => 10011100110 [5,3,3,2,2,1] => 10011011010 [5,3,3,2,1,1,1] => 100110101110 [5,3,3,1,1,1,1,1] => 1001100111110 [5,3,2,2,2,2] => 10010111100 [5,3,2,2,2,1,1] => 100101110110 [5,3,2,2,1,1,1,1] => 1001011011110 [5,3,2,1,1,1,1,1,1] => 10010101111110 [5,3,1,1,1,1,1,1,1,1] => 100100111111110 [5,2,2,2,2,2,1] => 100011111010 [5,2,2,2,2,1,1,1] => 1000111101110 [5,2,2,2,1,1,1,1,1] => 10001110111110 [5,2,2,1,1,1,1,1,1,1] => 100011011111110 [5,2,1,1,1,1,1,1,1,1,1] => 1000101111111110 [5,1,1,1,1,1,1,1,1,1,1,1] => 10000111111111110 [4,4,4,4] => 11110000 [4,4,4,3,1] => 111010010 [4,4,4,2,2] => 111001100 [4,4,4,2,1,1] => 1110010110 [4,4,4,1,1,1,1] => 11100011110 [4,4,3,3,2] => 110110100 [4,4,3,3,1,1] => 1101100110 [4,4,3,2,2,1] => 1101011010 [4,4,3,2,1,1,1] => 11010101110 [4,4,3,1,1,1,1,1] => 110100111110 [4,4,2,2,2,2] => 1100111100 [4,4,2,2,2,1,1] => 11001110110 [4,4,2,2,1,1,1,1] => 110011011110 [4,4,2,1,1,1,1,1,1] => 1100101111110 [4,4,1,1,1,1,1,1,1,1] => 11000111111110 [4,3,3,3,3] => 101111000 [4,3,3,3,2,1] => 1011101010 [4,3,3,3,1,1,1] => 10111001110 [4,3,3,2,2,2] => 1011011100 [4,3,3,2,2,1,1] => 10110110110 [4,3,3,2,1,1,1,1] => 101101011110 [4,3,3,1,1,1,1,1,1] => 1011001111110 [4,3,2,2,2,2,1] => 10101111010 [4,3,2,2,2,1,1,1] => 101011101110 [4,3,2,2,1,1,1,1,1] => 1010110111110 [4,3,2,1,1,1,1,1,1,1] => 10101011111110 [4,3,1,1,1,1,1,1,1,1,1] => 101001111111110 [4,2,2,2,2,2,2] => 10011111100 [4,2,2,2,2,2,1,1] => 100111110110 [4,2,2,2,2,1,1,1,1] => 1001111011110 [4,2,2,2,1,1,1,1,1,1] => 10011101111110 [4,2,2,1,1,1,1,1,1,1,1] => 100110111111110 [4,2,1,1,1,1,1,1,1,1,1,1] => 1001011111111110 [4,1,1,1,1,1,1,1,1,1,1,1,1] => 10001111111111110 [3,3,3,3,3,1] => 111110010 [3,3,3,3,2,2] => 111101100 [3,3,3,3,2,1,1] => 1111010110 [3,3,3,3,1,1,1,1] => 11110011110 [3,3,3,2,2,2,1] => 1110111010 [3,3,3,2,2,1,1,1] => 11101101110 [3,3,3,2,1,1,1,1,1] => 111010111110 [3,3,3,1,1,1,1,1,1,1] => 1110011111110 [3,3,2,2,2,2,2] => 1101111100 [3,3,2,2,2,2,1,1] => 11011110110 [3,3,2,2,2,1,1,1,1] => 110111011110 [3,3,2,2,1,1,1,1,1,1] => 1101101111110 [3,3,2,1,1,1,1,1,1,1,1] => 11010111111110 [3,3,1,1,1,1,1,1,1,1,1,1] => 110011111111110 [3,2,2,2,2,2,2,1] => 10111111010 [3,2,2,2,2,2,1,1,1] => 101111101110 [3,2,2,2,2,1,1,1,1,1] => 1011110111110 [3,2,2,2,1,1,1,1,1,1,1] => 10111011111110 [3,2,2,1,1,1,1,1,1,1,1,1] => 101101111111110 [3,2,1,1,1,1,1,1,1,1,1,1,1] => 1010111111111110 [3,1,1,1,1,1,1,1,1,1,1,1,1,1] => 10011111111111110 [2,2,2,2,2,2,2,2] => 1111111100 [2,2,2,2,2,2,2,1,1] => 11111110110 [2,2,2,2,2,2,1,1,1,1] => 111111011110 [2,2,2,2,2,1,1,1,1,1,1] => 1111101111110 [2,2,2,2,1,1,1,1,1,1,1,1] => 11110111111110 [2,2,2,1,1,1,1,1,1,1,1,1,1] => 111011111111110 [2,2,1,1,1,1,1,1,1,1,1,1,1,1] => 1101111111111110 [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 10111111111111110 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 11111111111111110 [17] => 100000000000000000 [16,1] => 100000000000000010 [15,2] => 10000000000000100 [15,1,1] => 100000000000000110 [14,3] => 1000000000001000 [14,2,1] => 10000000000001010 [14,1,1,1] => 100000000000001110 [13,4] => 100000000010000 [13,3,1] => 1000000000010010 [13,2,2] => 1000000000001100 [13,2,1,1] => 10000000000010110 [13,1,1,1,1] => 100000000000011110 [12,5] => 10000000100000 [12,4,1] => 100000000100010 [12,3,2] => 100000000010100 [12,3,1,1] => 1000000000100110 [12,2,2,1] => 1000000000011010 [12,2,1,1,1] => 10000000000101110 [12,1,1,1,1,1] => 100000000000111110 [11,6] => 1000001000000 [11,5,1] => 10000001000010 [11,4,2] => 10000000100100 [11,4,1,1] => 100000001000110 [11,3,3] => 10000000011000 [11,3,2,1] => 100000000101010 [11,3,1,1,1] => 1000000001001110 [11,2,2,2] => 100000000011100 [11,2,2,1,1] => 1000000000110110 [11,2,1,1,1,1] => 10000000001011110 [11,1,1,1,1,1,1] => 100000000001111110 [10,7] => 100010000000 [10,6,1] => 1000010000010 [10,5,2] => 1000001000100 [10,5,1,1] => 10000010000110 [10,4,3] => 1000000101000 [10,4,2,1] => 10000001001010 [10,4,1,1,1] => 100000010001110 [10,3,3,1] => 10000000110010 [10,3,2,2] => 10000000101100 [10,3,2,1,1] => 100000001010110 [10,3,1,1,1,1] => 1000000010011110 [10,2,2,2,1] => 100000000111010 [10,2,2,1,1,1] => 1000000001101110 [10,2,1,1,1,1,1] => 10000000010111110 [10,1,1,1,1,1,1,1] => 100000000011111110 [9,8] => 10100000000 [9,7,1] => 100100000010 [9,6,2] => 100010000100 [9,6,1,1] => 1000100000110 [9,5,3] => 100001001000 [9,5,2,1] => 1000010001010 [9,5,1,1,1] => 10000100001110 [9,4,4] => 100000110000 [9,4,3,1] => 1000001010010 [9,4,2,2] => 1000001001100 [9,4,2,1,1] => 10000010010110 [9,4,1,1,1,1] => 100000100011110 [9,3,3,2] => 1000000110100 [9,3,3,1,1] => 10000001100110 [9,3,2,2,1] => 10000001011010 [9,3,2,1,1,1] => 100000010101110 [9,3,1,1,1,1,1] => 1000000100111110 [9,2,2,2,2] => 10000000111100 [9,2,2,2,1,1] => 100000001110110 [9,2,2,1,1,1,1] => 1000000011011110 [9,2,1,1,1,1,1,1] => 10000000101111110 [9,1,1,1,1,1,1,1,1] => 100000000111111110 [8,8,1] => 11000000010 [8,7,2] => 10100000100 [8,7,1,1] => 101000000110 [8,6,3] => 10010001000 [8,6,2,1] => 100100001010 [8,6,1,1,1] => 1001000001110 [8,5,4] => 10001010000 [8,5,3,1] => 100010010010 [8,5,2,2] => 100010001100 [8,5,2,1,1] => 1000100010110 [8,5,1,1,1,1] => 10001000011110 [8,4,4,1] => 100001100010 [8,4,3,2] => 100001010100 [8,4,3,1,1] => 1000010100110 [8,4,2,2,1] => 1000010011010 [8,4,2,1,1,1] => 10000100101110 [8,4,1,1,1,1,1] => 100001000111110 [8,3,3,3] => 100000111000 [8,3,3,2,1] => 1000001101010 [8,3,3,1,1,1] => 10000011001110 [8,3,2,2,2] => 1000001011100 [8,3,2,2,1,1] => 10000010110110 [8,3,2,1,1,1,1] => 100000101011110 [8,3,1,1,1,1,1,1] => 1000001001111110 [8,2,2,2,2,1] => 10000001111010 [8,2,2,2,1,1,1] => 100000011101110 [8,2,2,1,1,1,1,1] => 1000000110111110 [8,2,1,1,1,1,1,1,1] => 10000001011111110 [8,1,1,1,1,1,1,1,1,1] => 100000001111111110 [7,7,3] => 1100001000 [7,7,2,1] => 11000001010 [7,7,1,1,1] => 110000001110 [7,6,4] => 1010010000 [7,6,3,1] => 10100010010 [7,6,2,2] => 10100001100 [7,6,2,1,1] => 101000010110 [7,6,1,1,1,1] => 1010000011110 [7,5,5] => 1001100000 [7,5,4,1] => 10010100010 [7,5,3,2] => 10010010100 [7,5,3,1,1] => 100100100110 [7,5,2,2,1] => 100100011010 [7,5,2,1,1,1] => 1001000101110 [7,5,1,1,1,1,1] => 10010000111110 [7,4,4,2] => 10001100100 [7,4,4,1,1] => 100011000110 [7,4,3,3] => 10001011000 [7,4,3,2,1] => 100010101010 [7,4,3,1,1,1] => 1000101001110 [7,4,2,2,2] => 100010011100 [7,4,2,2,1,1] => 1000100110110 [7,4,2,1,1,1,1] => 10001001011110 [7,4,1,1,1,1,1,1] => 100010001111110 [7,3,3,3,1] => 100001110010 [7,3,3,2,2] => 100001101100 [7,3,3,2,1,1] => 1000011010110 [7,3,3,1,1,1,1] => 10000110011110 [7,3,2,2,2,1] => 1000010111010 [7,3,2,2,1,1,1] => 10000101101110 [7,3,2,1,1,1,1,1] => 100001010111110 [7,3,1,1,1,1,1,1,1] => 1000010011111110 [7,2,2,2,2,2] => 1000001111100 [7,2,2,2,2,1,1] => 10000011110110 [7,2,2,2,1,1,1,1] => 100000111011110 [7,2,2,1,1,1,1,1,1] => 1000001101111110 [7,2,1,1,1,1,1,1,1,1] => 10000010111111110 [7,1,1,1,1,1,1,1,1,1,1] => 100000011111111110 [6,6,5] => 110100000 [6,6,4,1] => 1100100010 [6,6,3,2] => 1100010100 [6,6,3,1,1] => 11000100110 [6,6,2,2,1] => 11000011010 [6,6,2,1,1,1] => 110000101110 [6,6,1,1,1,1,1] => 1100000111110 [6,5,5,1] => 1011000010 [6,5,4,2] => 1010100100 [6,5,4,1,1] => 10101000110 [6,5,3,3] => 1010011000 [6,5,3,2,1] => 10100101010 [6,5,3,1,1,1] => 101001001110 [6,5,2,2,2] => 10100011100 [6,5,2,2,1,1] => 101000110110 [6,5,2,1,1,1,1] => 1010001011110 [6,5,1,1,1,1,1,1] => 10100001111110 [6,4,4,3] => 1001101000 [6,4,4,2,1] => 10011001010 [6,4,4,1,1,1] => 100110001110 [6,4,3,3,1] => 10010110010 [6,4,3,2,2] => 10010101100 [6,4,3,2,1,1] => 100101010110 [6,4,3,1,1,1,1] => 1001010011110 [6,4,2,2,2,1] => 100100111010 [6,4,2,2,1,1,1] => 1001001101110 [6,4,2,1,1,1,1,1] => 10010010111110 [6,4,1,1,1,1,1,1,1] => 100100011111110 [6,3,3,3,2] => 10001110100 [6,3,3,3,1,1] => 100011100110 [6,3,3,2,2,1] => 100011011010 [6,3,3,2,1,1,1] => 1000110101110 [6,3,3,1,1,1,1,1] => 10001100111110 [6,3,2,2,2,2] => 100010111100 [6,3,2,2,2,1,1] => 1000101110110 [6,3,2,2,1,1,1,1] => 10001011011110 [6,3,2,1,1,1,1,1,1] => 100010101111110 [6,3,1,1,1,1,1,1,1,1] => 1000100111111110 [6,2,2,2,2,2,1] => 1000011111010 [6,2,2,2,2,1,1,1] => 10000111101110 [6,2,2,2,1,1,1,1,1] => 100001110111110 [6,2,2,1,1,1,1,1,1,1] => 1000011011111110 [6,2,1,1,1,1,1,1,1,1,1] => 10000101111111110 [6,1,1,1,1,1,1,1,1,1,1,1] => 100000111111111110 [5,5,5,2] => 111000100 [5,5,5,1,1] => 1110000110 [5,5,4,3] => 110101000 [5,5,4,2,1] => 1101001010 [5,5,4,1,1,1] => 11010001110 [5,5,3,3,1] => 1100110010 [5,5,3,2,2] => 1100101100 [5,5,3,2,1,1] => 11001010110 [5,5,3,1,1,1,1] => 110010011110 [5,5,2,2,2,1] => 11000111010 [5,5,2,2,1,1,1] => 110001101110 [5,5,2,1,1,1,1,1] => 1100010111110 [5,5,1,1,1,1,1,1,1] => 11000011111110 [5,4,4,4] => 101110000 [5,4,4,3,1] => 1011010010 [5,4,4,2,2] => 1011001100 [5,4,4,2,1,1] => 10110010110 [5,4,4,1,1,1,1] => 101100011110 [5,4,3,3,2] => 1010110100 [5,4,3,3,1,1] => 10101100110 [5,4,3,2,2,1] => 10101011010 [5,4,3,2,1,1,1] => 101010101110 [5,4,3,1,1,1,1,1] => 1010100111110 [5,4,2,2,2,2] => 10100111100 [5,4,2,2,2,1,1] => 101001110110 [5,4,2,2,1,1,1,1] => 1010011011110 [5,4,2,1,1,1,1,1,1] => 10100101111110 [5,4,1,1,1,1,1,1,1,1] => 101000111111110 [5,3,3,3,3] => 1001111000 [5,3,3,3,2,1] => 10011101010 [5,3,3,3,1,1,1] => 100111001110 [5,3,3,2,2,2] => 10011011100 [5,3,3,2,2,1,1] => 100110110110 [5,3,3,2,1,1,1,1] => 1001101011110 [5,3,3,1,1,1,1,1,1] => 10011001111110 [5,3,2,2,2,2,1] => 100101111010 [5,3,2,2,2,1,1,1] => 1001011101110 [5,3,2,2,1,1,1,1,1] => 10010110111110 [5,3,2,1,1,1,1,1,1,1] => 100101011111110 [5,3,1,1,1,1,1,1,1,1,1] => 1001001111111110 [5,2,2,2,2,2,2] => 100011111100 [5,2,2,2,2,2,1,1] => 1000111110110 [5,2,2,2,2,1,1,1,1] => 10001111011110 [5,2,2,2,1,1,1,1,1,1] => 100011101111110 [5,2,2,1,1,1,1,1,1,1,1] => 1000110111111110 [5,2,1,1,1,1,1,1,1,1,1,1] => 10001011111111110 [5,1,1,1,1,1,1,1,1,1,1,1,1] => 100001111111111110 [4,4,4,4,1] => 111100010 [4,4,4,3,2] => 111010100 [4,4,4,3,1,1] => 1110100110 [4,4,4,2,2,1] => 1110011010 [4,4,4,2,1,1,1] => 11100101110 [4,4,4,1,1,1,1,1] => 111000111110 [4,4,3,3,3] => 110111000 [4,4,3,3,2,1] => 1101101010 [4,4,3,3,1,1,1] => 11011001110 [4,4,3,2,2,2] => 1101011100 [4,4,3,2,2,1,1] => 11010110110 [4,4,3,2,1,1,1,1] => 110101011110 [4,4,3,1,1,1,1,1,1] => 1101001111110 [4,4,2,2,2,2,1] => 11001111010 [4,4,2,2,2,1,1,1] => 110011101110 [4,4,2,2,1,1,1,1,1] => 1100110111110 [4,4,2,1,1,1,1,1,1,1] => 11001011111110 [4,4,1,1,1,1,1,1,1,1,1] => 110001111111110 [4,3,3,3,3,1] => 1011110010 [4,3,3,3,2,2] => 1011101100 [4,3,3,3,2,1,1] => 10111010110 [4,3,3,3,1,1,1,1] => 101110011110 [4,3,3,2,2,2,1] => 10110111010 [4,3,3,2,2,1,1,1] => 101101101110 [4,3,3,2,1,1,1,1,1] => 1011010111110 [4,3,3,1,1,1,1,1,1,1] => 10110011111110 [4,3,2,2,2,2,2] => 10101111100 [4,3,2,2,2,2,1,1] => 101011110110 [4,3,2,2,2,1,1,1,1] => 1010111011110 [4,3,2,2,1,1,1,1,1,1] => 10101101111110 [4,3,2,1,1,1,1,1,1,1,1] => 101010111111110 [4,3,1,1,1,1,1,1,1,1,1,1] => 1010011111111110 [4,2,2,2,2,2,2,1] => 100111111010 [4,2,2,2,2,2,1,1,1] => 1001111101110 [4,2,2,2,2,1,1,1,1,1] => 10011110111110 [4,2,2,2,1,1,1,1,1,1,1] => 100111011111110 [4,2,2,1,1,1,1,1,1,1,1,1] => 1001101111111110 [4,2,1,1,1,1,1,1,1,1,1,1,1] => 10010111111111110 [4,1,1,1,1,1,1,1,1,1,1,1,1,1] => 100011111111111110 [3,3,3,3,3,2] => 111110100 [3,3,3,3,3,1,1] => 1111100110 [3,3,3,3,2,2,1] => 1111011010 [3,3,3,3,2,1,1,1] => 11110101110 [3,3,3,3,1,1,1,1,1] => 111100111110 [3,3,3,2,2,2,2] => 1110111100 [3,3,3,2,2,2,1,1] => 11101110110 [3,3,3,2,2,1,1,1,1] => 111011011110 [3,3,3,2,1,1,1,1,1,1] => 1110101111110 [3,3,3,1,1,1,1,1,1,1,1] => 11100111111110 [3,3,2,2,2,2,2,1] => 11011111010 [3,3,2,2,2,2,1,1,1] => 110111101110 [3,3,2,2,2,1,1,1,1,1] => 1101110111110 [3,3,2,2,1,1,1,1,1,1,1] => 11011011111110 [3,3,2,1,1,1,1,1,1,1,1,1] => 110101111111110 [3,3,1,1,1,1,1,1,1,1,1,1,1] => 1100111111111110 [3,2,2,2,2,2,2,2] => 10111111100 [3,2,2,2,2,2,2,1,1] => 101111110110 [3,2,2,2,2,2,1,1,1,1] => 1011111011110 [3,2,2,2,2,1,1,1,1,1,1] => 10111101111110 [3,2,2,2,1,1,1,1,1,1,1,1] => 101110111111110 [3,2,2,1,1,1,1,1,1,1,1,1,1] => 1011011111111110 ----------------------------------------------------------------------------- Created: Jan 29, 2020 at 13:25 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 29, 2020 at 13:25 by Martin Rubey