Identifier
Mp00105:
Binary words
—complement⟶
Binary words
Mp00261: Binary words —Burrows-Wheeler⟶ Binary words
Mp00097: Binary words —delta morphism⟶ Integer compositions
Mp00261: Binary words —Burrows-Wheeler⟶ Binary words
Mp00097: Binary words —delta morphism⟶ Integer compositions
Images
0 => 1 => 1 => [1]
1 => 0 => 0 => [1]
00 => 11 => 11 => [2]
01 => 10 => 10 => [1,1]
10 => 01 => 10 => [1,1]
11 => 00 => 00 => [2]
000 => 111 => 111 => [3]
001 => 110 => 110 => [2,1]
010 => 101 => 110 => [2,1]
011 => 100 => 100 => [1,2]
100 => 011 => 110 => [2,1]
101 => 010 => 100 => [1,2]
110 => 001 => 100 => [1,2]
111 => 000 => 000 => [3]
0000 => 1111 => 1111 => [4]
0001 => 1110 => 1110 => [3,1]
0010 => 1101 => 1110 => [3,1]
0011 => 1100 => 1010 => [1,1,1,1]
0100 => 1011 => 1110 => [3,1]
0101 => 1010 => 1100 => [2,2]
0110 => 1001 => 1010 => [1,1,1,1]
0111 => 1000 => 1000 => [1,3]
1000 => 0111 => 1110 => [3,1]
1001 => 0110 => 1010 => [1,1,1,1]
1010 => 0101 => 1100 => [2,2]
1011 => 0100 => 1000 => [1,3]
1100 => 0011 => 1010 => [1,1,1,1]
1101 => 0010 => 1000 => [1,3]
1110 => 0001 => 1000 => [1,3]
1111 => 0000 => 0000 => [4]
00000 => 11111 => 11111 => [5]
00001 => 11110 => 11110 => [4,1]
00010 => 11101 => 11110 => [4,1]
00011 => 11100 => 10110 => [1,1,2,1]
00100 => 11011 => 11110 => [4,1]
00101 => 11010 => 11100 => [3,2]
00110 => 11001 => 10110 => [1,1,2,1]
00111 => 11000 => 10010 => [1,2,1,1]
01000 => 10111 => 11110 => [4,1]
01001 => 10110 => 11100 => [3,2]
01010 => 10101 => 11100 => [3,2]
01011 => 10100 => 11000 => [2,3]
01100 => 10011 => 10110 => [1,1,2,1]
01101 => 10010 => 11000 => [2,3]
01110 => 10001 => 10010 => [1,2,1,1]
01111 => 10000 => 10000 => [1,4]
10000 => 01111 => 11110 => [4,1]
10001 => 01110 => 10110 => [1,1,2,1]
10010 => 01101 => 11100 => [3,2]
10011 => 01100 => 10010 => [1,2,1,1]
10100 => 01011 => 11100 => [3,2]
10101 => 01010 => 11000 => [2,3]
10110 => 01001 => 11000 => [2,3]
10111 => 01000 => 10000 => [1,4]
11000 => 00111 => 10110 => [1,1,2,1]
11001 => 00110 => 10010 => [1,2,1,1]
11010 => 00101 => 11000 => [2,3]
11011 => 00100 => 10000 => [1,4]
11100 => 00011 => 10010 => [1,2,1,1]
11101 => 00010 => 10000 => [1,4]
11110 => 00001 => 10000 => [1,4]
11111 => 00000 => 00000 => [5]
000000 => 111111 => 111111 => [6]
000001 => 111110 => 111110 => [5,1]
000010 => 111101 => 111110 => [5,1]
000011 => 111100 => 101110 => [1,1,3,1]
000100 => 111011 => 111110 => [5,1]
000101 => 111010 => 111010 => [3,1,1,1]
000110 => 111001 => 101110 => [1,1,3,1]
000111 => 111000 => 100110 => [1,2,2,1]
001000 => 110111 => 111110 => [5,1]
001001 => 110110 => 111100 => [4,2]
001010 => 110101 => 111010 => [3,1,1,1]
001011 => 110100 => 110010 => [2,2,1,1]
001100 => 110011 => 101110 => [1,1,3,1]
001101 => 110010 => 101100 => [1,1,2,2]
001110 => 110001 => 100110 => [1,2,2,1]
001111 => 110000 => 100010 => [1,3,1,1]
010000 => 101111 => 111110 => [5,1]
010001 => 101110 => 111010 => [3,1,1,1]
010010 => 101101 => 111100 => [4,2]
010011 => 101100 => 101100 => [1,1,2,2]
010100 => 101011 => 111010 => [3,1,1,1]
010101 => 101010 => 111000 => [3,3]
010110 => 101001 => 110010 => [2,2,1,1]
010111 => 101000 => 101000 => [1,1,1,3]
011000 => 100111 => 101110 => [1,1,3,1]
011001 => 100110 => 110010 => [2,2,1,1]
011010 => 100101 => 101100 => [1,1,2,2]
011011 => 100100 => 110000 => [2,4]
011100 => 100011 => 100110 => [1,2,2,1]
011101 => 100010 => 101000 => [1,1,1,3]
011110 => 100001 => 100010 => [1,3,1,1]
011111 => 100000 => 100000 => [1,5]
100000 => 011111 => 111110 => [5,1]
100001 => 011110 => 101110 => [1,1,3,1]
100010 => 011101 => 111010 => [3,1,1,1]
100011 => 011100 => 100110 => [1,2,2,1]
100100 => 011011 => 111100 => [4,2]
100101 => 011010 => 110010 => [2,2,1,1]
100110 => 011001 => 101100 => [1,1,2,2]
>>> Load all 1376 entries. <<<
100111 => 011000 => 100010 => [1,3,1,1]
101000 => 010111 => 111010 => [3,1,1,1]
101001 => 010110 => 101100 => [1,1,2,2]
101010 => 010101 => 111000 => [3,3]
101011 => 010100 => 101000 => [1,1,1,3]
101100 => 010011 => 110010 => [2,2,1,1]
101101 => 010010 => 110000 => [2,4]
101110 => 010001 => 101000 => [1,1,1,3]
101111 => 010000 => 100000 => [1,5]
110000 => 001111 => 101110 => [1,1,3,1]
110001 => 001110 => 100110 => [1,2,2,1]
110010 => 001101 => 110010 => [2,2,1,1]
110011 => 001100 => 100010 => [1,3,1,1]
110100 => 001011 => 101100 => [1,1,2,2]
110101 => 001010 => 101000 => [1,1,1,3]
110110 => 001001 => 110000 => [2,4]
110111 => 001000 => 100000 => [1,5]
111000 => 000111 => 100110 => [1,2,2,1]
111001 => 000110 => 100010 => [1,3,1,1]
111010 => 000101 => 101000 => [1,1,1,3]
111011 => 000100 => 100000 => [1,5]
111100 => 000011 => 100010 => [1,3,1,1]
111101 => 000010 => 100000 => [1,5]
111110 => 000001 => 100000 => [1,5]
111111 => 000000 => 000000 => [6]
0000000 => 1111111 => 1111111 => [7]
0000001 => 1111110 => 1111110 => [6,1]
0000010 => 1111101 => 1111110 => [6,1]
0000011 => 1111100 => 1011110 => [1,1,4,1]
0000100 => 1111011 => 1111110 => [6,1]
0000101 => 1111010 => 1110110 => [3,1,2,1]
0000110 => 1111001 => 1011110 => [1,1,4,1]
0000111 => 1111000 => 1001110 => [1,2,3,1]
0001000 => 1110111 => 1111110 => [6,1]
0001001 => 1110110 => 1111100 => [5,2]
0001010 => 1110101 => 1110110 => [3,1,2,1]
0001011 => 1110100 => 1100110 => [2,2,2,1]
0001100 => 1110011 => 1011110 => [1,1,4,1]
0001101 => 1110010 => 1011010 => [1,1,2,1,1,1]
0001110 => 1110001 => 1001110 => [1,2,3,1]
0001111 => 1110000 => 1000110 => [1,3,2,1]
0010000 => 1101111 => 1111110 => [6,1]
0010001 => 1101110 => 1111100 => [5,2]
0010010 => 1101101 => 1111100 => [5,2]
0010011 => 1101100 => 1101100 => [2,1,2,2]
0010100 => 1101011 => 1110110 => [3,1,2,1]
0010101 => 1101010 => 1111000 => [4,3]
0010110 => 1101001 => 1100110 => [2,2,2,1]
0010111 => 1101000 => 1010010 => [1,1,1,2,1,1]
0011000 => 1100111 => 1011110 => [1,1,4,1]
0011001 => 1100110 => 1101100 => [2,1,2,2]
0011010 => 1100101 => 1011010 => [1,1,2,1,1,1]
0011011 => 1100100 => 1100100 => [2,2,1,2]
0011100 => 1100011 => 1001110 => [1,2,3,1]
0011101 => 1100010 => 1001100 => [1,2,2,2]
0011110 => 1100001 => 1000110 => [1,3,2,1]
0011111 => 1100000 => 1000010 => [1,4,1,1]
0100000 => 1011111 => 1111110 => [6,1]
0100001 => 1011110 => 1110110 => [3,1,2,1]
0100010 => 1011101 => 1111100 => [5,2]
0100011 => 1011100 => 1011010 => [1,1,2,1,1,1]
0100100 => 1011011 => 1111100 => [5,2]
0100101 => 1011010 => 1111000 => [4,3]
0100110 => 1011001 => 1101100 => [2,1,2,2]
0100111 => 1011000 => 1001100 => [1,2,2,2]
0101000 => 1010111 => 1110110 => [3,1,2,1]
0101001 => 1010110 => 1111000 => [4,3]
0101010 => 1010101 => 1111000 => [4,3]
0101011 => 1010100 => 1110000 => [3,4]
0101100 => 1010011 => 1100110 => [2,2,2,1]
0101101 => 1010010 => 1110000 => [3,4]
0101110 => 1010001 => 1010010 => [1,1,1,2,1,1]
0101111 => 1010000 => 1001000 => [1,2,1,3]
0110000 => 1001111 => 1011110 => [1,1,4,1]
0110001 => 1001110 => 1100110 => [2,2,2,1]
0110010 => 1001101 => 1101100 => [2,1,2,2]
0110011 => 1001100 => 1100100 => [2,2,1,2]
0110100 => 1001011 => 1011010 => [1,1,2,1,1,1]
0110101 => 1001010 => 1110000 => [3,4]
0110110 => 1001001 => 1100100 => [2,2,1,2]
0110111 => 1001000 => 1100000 => [2,5]
0111000 => 1000111 => 1001110 => [1,2,3,1]
0111001 => 1000110 => 1010010 => [1,1,1,2,1,1]
0111010 => 1000101 => 1001100 => [1,2,2,2]
0111011 => 1000100 => 1100000 => [2,5]
0111100 => 1000011 => 1000110 => [1,3,2,1]
0111101 => 1000010 => 1001000 => [1,2,1,3]
0111110 => 1000001 => 1000010 => [1,4,1,1]
0111111 => 1000000 => 1000000 => [1,6]
1000000 => 0111111 => 1111110 => [6,1]
1000001 => 0111110 => 1011110 => [1,1,4,1]
1000010 => 0111101 => 1110110 => [3,1,2,1]
1000011 => 0111100 => 1001110 => [1,2,3,1]
1000100 => 0111011 => 1111100 => [5,2]
1000101 => 0111010 => 1100110 => [2,2,2,1]
1000110 => 0111001 => 1011010 => [1,1,2,1,1,1]
1000111 => 0111000 => 1000110 => [1,3,2,1]
1001000 => 0110111 => 1111100 => [5,2]
1001001 => 0110110 => 1101100 => [2,1,2,2]
1001010 => 0110101 => 1111000 => [4,3]
1001011 => 0110100 => 1010010 => [1,1,1,2,1,1]
1001100 => 0110011 => 1101100 => [2,1,2,2]
1001101 => 0110010 => 1100100 => [2,2,1,2]
1001110 => 0110001 => 1001100 => [1,2,2,2]
1001111 => 0110000 => 1000010 => [1,4,1,1]
1010000 => 0101111 => 1110110 => [3,1,2,1]
1010001 => 0101110 => 1011010 => [1,1,2,1,1,1]
1010010 => 0101101 => 1111000 => [4,3]
1010011 => 0101100 => 1001100 => [1,2,2,2]
1010100 => 0101011 => 1111000 => [4,3]
1010101 => 0101010 => 1110000 => [3,4]
1010110 => 0101001 => 1110000 => [3,4]
1010111 => 0101000 => 1001000 => [1,2,1,3]
1011000 => 0100111 => 1100110 => [2,2,2,1]
1011001 => 0100110 => 1100100 => [2,2,1,2]
1011010 => 0100101 => 1110000 => [3,4]
1011011 => 0100100 => 1100000 => [2,5]
1011100 => 0100011 => 1010010 => [1,1,1,2,1,1]
1011101 => 0100010 => 1100000 => [2,5]
1011110 => 0100001 => 1001000 => [1,2,1,3]
1011111 => 0100000 => 1000000 => [1,6]
1100000 => 0011111 => 1011110 => [1,1,4,1]
1100001 => 0011110 => 1001110 => [1,2,3,1]
1100010 => 0011101 => 1100110 => [2,2,2,1]
1100011 => 0011100 => 1000110 => [1,3,2,1]
1100100 => 0011011 => 1101100 => [2,1,2,2]
1100101 => 0011010 => 1010010 => [1,1,1,2,1,1]
1100110 => 0011001 => 1100100 => [2,2,1,2]
1100111 => 0011000 => 1000010 => [1,4,1,1]
1101000 => 0010111 => 1011010 => [1,1,2,1,1,1]
1101001 => 0010110 => 1001100 => [1,2,2,2]
1101010 => 0010101 => 1110000 => [3,4]
1101011 => 0010100 => 1001000 => [1,2,1,3]
1101100 => 0010011 => 1100100 => [2,2,1,2]
1101101 => 0010010 => 1100000 => [2,5]
1101110 => 0010001 => 1100000 => [2,5]
1101111 => 0010000 => 1000000 => [1,6]
1110000 => 0001111 => 1001110 => [1,2,3,1]
1110001 => 0001110 => 1000110 => [1,3,2,1]
1110010 => 0001101 => 1010010 => [1,1,1,2,1,1]
1110011 => 0001100 => 1000010 => [1,4,1,1]
1110100 => 0001011 => 1001100 => [1,2,2,2]
1110101 => 0001010 => 1001000 => [1,2,1,3]
1110110 => 0001001 => 1100000 => [2,5]
1110111 => 0001000 => 1000000 => [1,6]
1111000 => 0000111 => 1000110 => [1,3,2,1]
1111001 => 0000110 => 1000010 => [1,4,1,1]
1111010 => 0000101 => 1001000 => [1,2,1,3]
1111011 => 0000100 => 1000000 => [1,6]
1111100 => 0000011 => 1000010 => [1,4,1,1]
1111101 => 0000010 => 1000000 => [1,6]
1111110 => 0000001 => 1000000 => [1,6]
1111111 => 0000000 => 0000000 => [7]
00000000 => 11111111 => 11111111 => [8]
00000001 => 11111110 => 11111110 => [7,1]
00000010 => 11111101 => 11111110 => [7,1]
00000011 => 11111100 => 10111110 => [1,1,5,1]
00000100 => 11111011 => 11111110 => [7,1]
00000101 => 11111010 => 11101110 => [3,1,3,1]
00000110 => 11111001 => 10111110 => [1,1,5,1]
00000111 => 11111000 => 10011110 => [1,2,4,1]
00001000 => 11110111 => 11111110 => [7,1]
00001001 => 11110110 => 11111010 => [5,1,1,1]
00001010 => 11110101 => 11101110 => [3,1,3,1]
00001011 => 11110100 => 11001110 => [2,2,3,1]
00001100 => 11110011 => 10111110 => [1,1,5,1]
00001101 => 11110010 => 10110110 => [1,1,2,1,2,1]
00001110 => 11110001 => 10011110 => [1,2,4,1]
00001111 => 11110000 => 10001110 => [1,3,3,1]
00010000 => 11101111 => 11111110 => [7,1]
00010001 => 11101110 => 11111100 => [6,2]
00010010 => 11101101 => 11111010 => [5,1,1,1]
00010011 => 11101100 => 11011010 => [2,1,2,1,1,1]
00010100 => 11101011 => 11101110 => [3,1,3,1]
00010101 => 11101010 => 11110010 => [4,2,1,1]
00010110 => 11101001 => 11001110 => [2,2,3,1]
00010111 => 11101000 => 10100110 => [1,1,1,2,2,1]
00011000 => 11100111 => 10111110 => [1,1,5,1]
00011001 => 11100110 => 10111100 => [1,1,4,2]
00011010 => 11100101 => 10110110 => [1,1,2,1,2,1]
00011011 => 11100100 => 11001010 => [2,2,1,1,1,1]
00011100 => 11100011 => 10011110 => [1,2,4,1]
00011101 => 11100010 => 10011010 => [1,2,2,1,1,1]
00011110 => 11100001 => 10001110 => [1,3,3,1]
00011111 => 11100000 => 10000110 => [1,4,2,1]
00100000 => 11011111 => 11111110 => [7,1]
00100001 => 11011110 => 11111010 => [5,1,1,1]
00100010 => 11011101 => 11111100 => [6,2]
00100011 => 11011100 => 10111100 => [1,1,4,2]
00100100 => 11011011 => 11111010 => [5,1,1,1]
00100101 => 11011010 => 11111000 => [5,3]
00100110 => 11011001 => 11011010 => [2,1,2,1,1,1]
00100111 => 11011000 => 10101100 => [1,1,1,1,2,2]
00101000 => 11010111 => 11101110 => [3,1,3,1]
00101001 => 11010110 => 11111000 => [5,3]
00101010 => 11010101 => 11110010 => [4,2,1,1]
00101011 => 11010100 => 11100010 => [3,3,1,1]
00101100 => 11010011 => 11001110 => [2,2,3,1]
00101101 => 11010010 => 11010100 => [2,1,1,1,1,2]
00101110 => 11010001 => 10100110 => [1,1,1,2,2,1]
00101111 => 11010000 => 10010010 => [1,2,1,2,1,1]
00110000 => 11001111 => 10111110 => [1,1,5,1]
00110001 => 11001110 => 11011010 => [2,1,2,1,1,1]
00110010 => 11001101 => 10111100 => [1,1,4,2]
00110011 => 11001100 => 11001100 => [2,2,2,2]
00110100 => 11001011 => 10110110 => [1,1,2,1,2,1]
00110101 => 11001010 => 10111000 => [1,1,3,3]
00110110 => 11001001 => 11001010 => [2,2,1,1,1,1]
00110111 => 11001000 => 11000010 => [2,4,1,1]
00111000 => 11000111 => 10011110 => [1,2,4,1]
00111001 => 11000110 => 10101100 => [1,1,1,1,2,2]
00111010 => 11000101 => 10011010 => [1,2,2,1,1,1]
00111011 => 11000100 => 10100100 => [1,1,1,2,1,2]
00111100 => 11000011 => 10001110 => [1,3,3,1]
00111101 => 11000010 => 10001100 => [1,3,2,2]
00111110 => 11000001 => 10000110 => [1,4,2,1]
00111111 => 11000000 => 10000010 => [1,5,1,1]
01000000 => 10111111 => 11111110 => [7,1]
01000001 => 10111110 => 11101110 => [3,1,3,1]
01000010 => 10111101 => 11111010 => [5,1,1,1]
01000011 => 10111100 => 10110110 => [1,1,2,1,2,1]
01000100 => 10111011 => 11111100 => [6,2]
01000101 => 10111010 => 11110010 => [4,2,1,1]
01000110 => 10111001 => 10111100 => [1,1,4,2]
01000111 => 10111000 => 10011010 => [1,2,2,1,1,1]
01001000 => 10110111 => 11111010 => [5,1,1,1]
01001001 => 10110110 => 11111000 => [5,3]
01001010 => 10110101 => 11111000 => [5,3]
01001011 => 10110100 => 11010100 => [2,1,1,1,1,2]
01001100 => 10110011 => 11011010 => [2,1,2,1,1,1]
01001101 => 10110010 => 10111000 => [1,1,3,3]
01001110 => 10110001 => 10101100 => [1,1,1,1,2,2]
01001111 => 10110000 => 10001100 => [1,3,2,2]
01010000 => 10101111 => 11101110 => [3,1,3,1]
01010001 => 10101110 => 11110010 => [4,2,1,1]
01010010 => 10101101 => 11111000 => [5,3]
01010011 => 10101100 => 10111000 => [1,1,3,3]
01010100 => 10101011 => 11110010 => [4,2,1,1]
01010101 => 10101010 => 11110000 => [4,4]
01010110 => 10101001 => 11100010 => [3,3,1,1]
01010111 => 10101000 => 10110000 => [1,1,2,4]
01011000 => 10100111 => 11001110 => [2,2,3,1]
01011001 => 10100110 => 11100010 => [3,3,1,1]
01011010 => 10100101 => 11010100 => [2,1,1,1,1,2]
01011011 => 10100100 => 11100000 => [3,5]
01011100 => 10100011 => 10100110 => [1,1,1,2,2,1]
01011101 => 10100010 => 10110000 => [1,1,2,4]
01011110 => 10100001 => 10010010 => [1,2,1,2,1,1]
01011111 => 10100000 => 10001000 => [1,3,1,3]
01100000 => 10011111 => 10111110 => [1,1,5,1]
01100001 => 10011110 => 11001110 => [2,2,3,1]
01100010 => 10011101 => 11011010 => [2,1,2,1,1,1]
01100011 => 10011100 => 11001010 => [2,2,1,1,1,1]
01100100 => 10011011 => 10111100 => [1,1,4,2]
01100101 => 10011010 => 11100010 => [3,3,1,1]
01100110 => 10011001 => 11001100 => [2,2,2,2]
01100111 => 10011000 => 10100100 => [1,1,1,2,1,2]
01101000 => 10010111 => 10110110 => [1,1,2,1,2,1]
01101001 => 10010110 => 11010100 => [2,1,1,1,1,2]
01101010 => 10010101 => 10111000 => [1,1,3,3]
01101011 => 10010100 => 11100000 => [3,5]
01101100 => 10010011 => 11001010 => [2,2,1,1,1,1]
01101101 => 10010010 => 11100000 => [3,5]
01101110 => 10010001 => 11000010 => [2,4,1,1]
01101111 => 10010000 => 10100000 => [1,1,1,5]
01110000 => 10001111 => 10011110 => [1,2,4,1]
01110001 => 10001110 => 10100110 => [1,1,1,2,2,1]
01110010 => 10001101 => 10101100 => [1,1,1,1,2,2]
01110011 => 10001100 => 11000010 => [2,4,1,1]
01110100 => 10001011 => 10011010 => [1,2,2,1,1,1]
01110101 => 10001010 => 10110000 => [1,1,2,4]
01110110 => 10001001 => 10100100 => [1,1,1,2,1,2]
01110111 => 10001000 => 11000000 => [2,6]
01111000 => 10000111 => 10001110 => [1,3,3,1]
01111001 => 10000110 => 10010010 => [1,2,1,2,1,1]
01111010 => 10000101 => 10001100 => [1,3,2,2]
01111011 => 10000100 => 10100000 => [1,1,1,5]
01111100 => 10000011 => 10000110 => [1,4,2,1]
01111101 => 10000010 => 10001000 => [1,3,1,3]
01111110 => 10000001 => 10000010 => [1,5,1,1]
01111111 => 10000000 => 10000000 => [1,7]
10000000 => 01111111 => 11111110 => [7,1]
10000001 => 01111110 => 10111110 => [1,1,5,1]
10000010 => 01111101 => 11101110 => [3,1,3,1]
10000011 => 01111100 => 10011110 => [1,2,4,1]
10000100 => 01111011 => 11111010 => [5,1,1,1]
10000101 => 01111010 => 11001110 => [2,2,3,1]
10000110 => 01111001 => 10110110 => [1,1,2,1,2,1]
10000111 => 01111000 => 10001110 => [1,3,3,1]
10001000 => 01110111 => 11111100 => [6,2]
10001001 => 01110110 => 11011010 => [2,1,2,1,1,1]
10001010 => 01110101 => 11110010 => [4,2,1,1]
10001011 => 01110100 => 10100110 => [1,1,1,2,2,1]
10001100 => 01110011 => 10111100 => [1,1,4,2]
10001101 => 01110010 => 11001010 => [2,2,1,1,1,1]
10001110 => 01110001 => 10011010 => [1,2,2,1,1,1]
10001111 => 01110000 => 10000110 => [1,4,2,1]
10010000 => 01101111 => 11111010 => [5,1,1,1]
10010001 => 01101110 => 10111100 => [1,1,4,2]
10010010 => 01101101 => 11111000 => [5,3]
10010011 => 01101100 => 10101100 => [1,1,1,1,2,2]
10010100 => 01101011 => 11111000 => [5,3]
10010101 => 01101010 => 11100010 => [3,3,1,1]
10010110 => 01101001 => 11010100 => [2,1,1,1,1,2]
10010111 => 01101000 => 10010010 => [1,2,1,2,1,1]
10011000 => 01100111 => 11011010 => [2,1,2,1,1,1]
10011001 => 01100110 => 11001100 => [2,2,2,2]
10011010 => 01100101 => 10111000 => [1,1,3,3]
10011011 => 01100100 => 11000010 => [2,4,1,1]
10011100 => 01100011 => 10101100 => [1,1,1,1,2,2]
10011101 => 01100010 => 10100100 => [1,1,1,2,1,2]
10011110 => 01100001 => 10001100 => [1,3,2,2]
10011111 => 01100000 => 10000010 => [1,5,1,1]
10100000 => 01011111 => 11101110 => [3,1,3,1]
10100001 => 01011110 => 10110110 => [1,1,2,1,2,1]
10100010 => 01011101 => 11110010 => [4,2,1,1]
10100011 => 01011100 => 10011010 => [1,2,2,1,1,1]
10100100 => 01011011 => 11111000 => [5,3]
10100101 => 01011010 => 11010100 => [2,1,1,1,1,2]
10100110 => 01011001 => 10111000 => [1,1,3,3]
10100111 => 01011000 => 10001100 => [1,3,2,2]
10101000 => 01010111 => 11110010 => [4,2,1,1]
10101001 => 01010110 => 10111000 => [1,1,3,3]
10101010 => 01010101 => 11110000 => [4,4]
10101011 => 01010100 => 10110000 => [1,1,2,4]
10101100 => 01010011 => 11100010 => [3,3,1,1]
10101101 => 01010010 => 11100000 => [3,5]
10101110 => 01010001 => 10110000 => [1,1,2,4]
10101111 => 01010000 => 10001000 => [1,3,1,3]
10110000 => 01001111 => 11001110 => [2,2,3,1]
10110001 => 01001110 => 11001010 => [2,2,1,1,1,1]
10110010 => 01001101 => 11100010 => [3,3,1,1]
10110011 => 01001100 => 10100100 => [1,1,1,2,1,2]
10110100 => 01001011 => 11010100 => [2,1,1,1,1,2]
10110101 => 01001010 => 11100000 => [3,5]
10110110 => 01001001 => 11100000 => [3,5]
10110111 => 01001000 => 10100000 => [1,1,1,5]
10111000 => 01000111 => 10100110 => [1,1,1,2,2,1]
10111001 => 01000110 => 11000010 => [2,4,1,1]
10111010 => 01000101 => 10110000 => [1,1,2,4]
10111011 => 01000100 => 11000000 => [2,6]
10111100 => 01000011 => 10010010 => [1,2,1,2,1,1]
10111101 => 01000010 => 10100000 => [1,1,1,5]
10111110 => 01000001 => 10001000 => [1,3,1,3]
10111111 => 01000000 => 10000000 => [1,7]
11000000 => 00111111 => 10111110 => [1,1,5,1]
11000001 => 00111110 => 10011110 => [1,2,4,1]
11000010 => 00111101 => 11001110 => [2,2,3,1]
11000011 => 00111100 => 10001110 => [1,3,3,1]
11000100 => 00111011 => 11011010 => [2,1,2,1,1,1]
11000101 => 00111010 => 10100110 => [1,1,1,2,2,1]
11000110 => 00111001 => 11001010 => [2,2,1,1,1,1]
11000111 => 00111000 => 10000110 => [1,4,2,1]
11001000 => 00110111 => 10111100 => [1,1,4,2]
11001001 => 00110110 => 10101100 => [1,1,1,1,2,2]
11001010 => 00110101 => 11100010 => [3,3,1,1]
11001011 => 00110100 => 10010010 => [1,2,1,2,1,1]
11001100 => 00110011 => 11001100 => [2,2,2,2]
11001101 => 00110010 => 11000010 => [2,4,1,1]
11001110 => 00110001 => 10100100 => [1,1,1,2,1,2]
11001111 => 00110000 => 10000010 => [1,5,1,1]
11010000 => 00101111 => 10110110 => [1,1,2,1,2,1]
11010001 => 00101110 => 10011010 => [1,2,2,1,1,1]
11010010 => 00101101 => 11010100 => [2,1,1,1,1,2]
11010011 => 00101100 => 10001100 => [1,3,2,2]
11010100 => 00101011 => 10111000 => [1,1,3,3]
11010101 => 00101010 => 10110000 => [1,1,2,4]
11010110 => 00101001 => 11100000 => [3,5]
11010111 => 00101000 => 10001000 => [1,3,1,3]
11011000 => 00100111 => 11001010 => [2,2,1,1,1,1]
11011001 => 00100110 => 10100100 => [1,1,1,2,1,2]
11011010 => 00100101 => 11100000 => [3,5]
11011011 => 00100100 => 10100000 => [1,1,1,5]
11011100 => 00100011 => 11000010 => [2,4,1,1]
11011101 => 00100010 => 11000000 => [2,6]
11011110 => 00100001 => 10100000 => [1,1,1,5]
11011111 => 00100000 => 10000000 => [1,7]
11100000 => 00011111 => 10011110 => [1,2,4,1]
11100001 => 00011110 => 10001110 => [1,3,3,1]
11100010 => 00011101 => 10100110 => [1,1,1,2,2,1]
11100011 => 00011100 => 10000110 => [1,4,2,1]
11100100 => 00011011 => 10101100 => [1,1,1,1,2,2]
11100101 => 00011010 => 10010010 => [1,2,1,2,1,1]
11100110 => 00011001 => 11000010 => [2,4,1,1]
11100111 => 00011000 => 10000010 => [1,5,1,1]
11101000 => 00010111 => 10011010 => [1,2,2,1,1,1]
11101001 => 00010110 => 10001100 => [1,3,2,2]
11101010 => 00010101 => 10110000 => [1,1,2,4]
11101011 => 00010100 => 10001000 => [1,3,1,3]
11101100 => 00010011 => 10100100 => [1,1,1,2,1,2]
11101101 => 00010010 => 10100000 => [1,1,1,5]
11101110 => 00010001 => 11000000 => [2,6]
11101111 => 00010000 => 10000000 => [1,7]
11110000 => 00001111 => 10001110 => [1,3,3,1]
11110001 => 00001110 => 10000110 => [1,4,2,1]
11110010 => 00001101 => 10010010 => [1,2,1,2,1,1]
11110011 => 00001100 => 10000010 => [1,5,1,1]
11110100 => 00001011 => 10001100 => [1,3,2,2]
11110101 => 00001010 => 10001000 => [1,3,1,3]
11110110 => 00001001 => 10100000 => [1,1,1,5]
11110111 => 00001000 => 10000000 => [1,7]
11111000 => 00000111 => 10000110 => [1,4,2,1]
11111001 => 00000110 => 10000010 => [1,5,1,1]
11111010 => 00000101 => 10001000 => [1,3,1,3]
11111011 => 00000100 => 10000000 => [1,7]
11111100 => 00000011 => 10000010 => [1,5,1,1]
11111101 => 00000010 => 10000000 => [1,7]
11111110 => 00000001 => 10000000 => [1,7]
11111111 => 00000000 => 00000000 => [8]
000000000 => 111111111 => 111111111 => [9]
000000001 => 111111110 => 111111110 => [8,1]
000000010 => 111111101 => 111111110 => [8,1]
000000011 => 111111100 => 101111110 => [1,1,6,1]
000000100 => 111111011 => 111111110 => [8,1]
000000101 => 111111010 => 111011110 => [3,1,4,1]
000000110 => 111111001 => 101111110 => [1,1,6,1]
000000111 => 111111000 => 100111110 => [1,2,5,1]
000001000 => 111110111 => 111111110 => [8,1]
000001001 => 111110110 => 111110110 => [5,1,2,1]
000001010 => 111110101 => 111011110 => [3,1,4,1]
000001011 => 111110100 => 110011110 => [2,2,4,1]
000001100 => 111110011 => 101111110 => [1,1,6,1]
000001101 => 111110010 => 101101110 => [1,1,2,1,3,1]
000001110 => 111110001 => 100111110 => [1,2,5,1]
000001111 => 111110000 => 100011110 => [1,3,4,1]
000010000 => 111101111 => 111111110 => [8,1]
000010001 => 111101110 => 111111100 => [7,2]
000010010 => 111101101 => 111110110 => [5,1,2,1]
000010011 => 111101100 => 110110110 => [2,1,2,1,2,1]
000010100 => 111101011 => 111011110 => [3,1,4,1]
000010101 => 111101010 => 111100110 => [4,2,2,1]
000010110 => 111101001 => 110011110 => [2,2,4,1]
000010111 => 111101000 => 101001110 => [1,1,1,2,3,1]
000011000 => 111100111 => 101111110 => [1,1,6,1]
000011001 => 111100110 => 101111010 => [1,1,4,1,1,1]
000011010 => 111100101 => 101101110 => [1,1,2,1,3,1]
000011011 => 111100100 => 110010110 => [2,2,1,1,2,1]
000011100 => 111100011 => 100111110 => [1,2,5,1]
000011101 => 111100010 => 100110110 => [1,2,2,1,2,1]
000011110 => 111100001 => 100011110 => [1,3,4,1]
000011111 => 111100000 => 100001110 => [1,4,3,1]
000100000 => 111011111 => 111111110 => [8,1]
000100001 => 111011110 => 111111100 => [7,2]
000100010 => 111011101 => 111111100 => [7,2]
000100011 => 111011100 => 110111100 => [2,1,4,2]
000100100 => 111011011 => 111110110 => [5,1,2,1]
000100101 => 111011010 => 111110010 => [5,2,1,1]
000100110 => 111011001 => 110110110 => [2,1,2,1,2,1]
000100111 => 111011000 => 101011010 => [1,1,1,1,2,1,1,1]
000101000 => 111010111 => 111011110 => [3,1,4,1]
000101001 => 111010110 => 111101100 => [4,1,2,2]
000101010 => 111010101 => 111100110 => [4,2,2,1]
000101011 => 111010100 => 111000110 => [3,3,2,1]
000101100 => 111010011 => 110011110 => [2,2,4,1]
000101101 => 111010010 => 110101010 => [2,1,1,1,1,1,1,1]
000101110 => 111010001 => 101001110 => [1,1,1,2,3,1]
000101111 => 111010000 => 100100110 => [1,2,1,2,2,1]
000110000 => 111001111 => 101111110 => [1,1,6,1]
000110001 => 111001110 => 110111100 => [2,1,4,2]
000110010 => 111001101 => 101111010 => [1,1,4,1,1,1]
000110011 => 111001100 => 110011100 => [2,2,3,2]
000110100 => 111001011 => 101101110 => [1,1,2,1,3,1]
000110101 => 111001010 => 101110010 => [1,1,3,2,1,1]
000110110 => 111001001 => 110010110 => [2,2,1,1,2,1]
000110111 => 111001000 => 110000110 => [2,4,2,1]
000111000 => 111000111 => 100111110 => [1,2,5,1]
000111001 => 111000110 => 100111100 => [1,2,4,2]
000111010 => 111000101 => 100110110 => [1,2,2,1,2,1]
000111011 => 111000100 => 101001010 => [1,1,1,2,1,1,1,1]
000111100 => 111000011 => 100011110 => [1,3,4,1]
000111101 => 111000010 => 100011010 => [1,3,2,1,1,1]
000111110 => 111000001 => 100001110 => [1,4,3,1]
000111111 => 111000000 => 100000110 => [1,5,2,1]
001000000 => 110111111 => 111111110 => [8,1]
001000001 => 110111110 => 111110110 => [5,1,2,1]
001000010 => 110111101 => 111111100 => [7,2]
001000011 => 110111100 => 101111010 => [1,1,4,1,1,1]
001000100 => 110111011 => 111111100 => [7,2]
001000101 => 110111010 => 111101100 => [4,1,2,2]
001000110 => 110111001 => 110111100 => [2,1,4,2]
001000111 => 110111000 => 100111100 => [1,2,4,2]
001001000 => 110110111 => 111110110 => [5,1,2,1]
001001001 => 110110110 => 111111000 => [6,3]
001001010 => 110110101 => 111110010 => [5,2,1,1]
001001011 => 110110100 => 111001100 => [3,2,2,2]
001001100 => 110110011 => 110110110 => [2,1,2,1,2,1]
001001101 => 110110010 => 101111000 => [1,1,4,3]
001001110 => 110110001 => 101011010 => [1,1,1,1,2,1,1,1]
001001111 => 110110000 => 100101100 => [1,2,1,1,2,2]
001010000 => 110101111 => 111011110 => [3,1,4,1]
001010001 => 110101110 => 111110010 => [5,2,1,1]
001010010 => 110101101 => 111101100 => [4,1,2,2]
001010011 => 110101100 => 111011000 => [3,1,2,3]
001010100 => 110101011 => 111100110 => [4,2,2,1]
001010101 => 110101010 => 111110000 => [5,4]
001010110 => 110101001 => 111000110 => [3,3,2,1]
001010111 => 110101000 => 101100010 => [1,1,2,3,1,1]
001011000 => 110100111 => 110011110 => [2,2,4,1]
001011001 => 110100110 => 111001100 => [3,2,2,2]
001011010 => 110100101 => 110101010 => [2,1,1,1,1,1,1,1]
001011011 => 110100100 => 111000010 => [3,4,1,1]
001011100 => 110100011 => 101001110 => [1,1,1,2,3,1]
001011101 => 110100010 => 101010100 => [1,1,1,1,1,1,1,2]
001011110 => 110100001 => 100100110 => [1,2,1,2,2,1]
001011111 => 110100000 => 100010010 => [1,3,1,2,1,1]
001100000 => 110011111 => 101111110 => [1,1,6,1]
001100001 => 110011110 => 110110110 => [2,1,2,1,2,1]
001100010 => 110011101 => 110111100 => [2,1,4,2]
001100011 => 110011100 => 110011100 => [2,2,3,2]
001100100 => 110011011 => 101111010 => [1,1,4,1,1,1]
001100101 => 110011010 => 111011000 => [3,1,2,3]
001100110 => 110011001 => 110011100 => [2,2,3,2]
001100111 => 110011000 => 110001100 => [2,3,2,2]
001101000 => 110010111 => 101101110 => [1,1,2,1,3,1]
001101001 => 110010110 => 101111000 => [1,1,4,3]
001101010 => 110010101 => 101110010 => [1,1,3,2,1,1]
001101011 => 110010100 => 111001000 => [3,2,1,3]
001101100 => 110010011 => 110010110 => [2,2,1,1,2,1]
001101101 => 110010010 => 110011000 => [2,2,2,3]
001101110 => 110010001 => 110000110 => [2,4,2,1]
001101111 => 110010000 => 101000010 => [1,1,1,4,1,1]
001110000 => 110001111 => 100111110 => [1,2,5,1]
001110001 => 110001110 => 101011010 => [1,1,1,1,2,1,1,1]
001110010 => 110001101 => 100111100 => [1,2,4,2]
001110011 => 110001100 => 110001100 => [2,3,2,2]
001110100 => 110001011 => 100110110 => [1,2,2,1,2,1]
001110101 => 110001010 => 100111000 => [1,2,3,3]
001110110 => 110001001 => 101001010 => [1,1,1,2,1,1,1,1]
001110111 => 110001000 => 110000100 => [2,4,1,2]
001111000 => 110000111 => 100011110 => [1,3,4,1]
001111001 => 110000110 => 100101100 => [1,2,1,1,2,2]
001111010 => 110000101 => 100011010 => [1,3,2,1,1,1]
001111011 => 110000100 => 100100100 => [1,2,1,2,1,2]
001111100 => 110000011 => 100001110 => [1,4,3,1]
001111101 => 110000010 => 100001100 => [1,4,2,2]
001111110 => 110000001 => 100000110 => [1,5,2,1]
001111111 => 110000000 => 100000010 => [1,6,1,1]
010000000 => 101111111 => 111111110 => [8,1]
010000001 => 101111110 => 111011110 => [3,1,4,1]
010000010 => 101111101 => 111110110 => [5,1,2,1]
010000011 => 101111100 => 101101110 => [1,1,2,1,3,1]
010000100 => 101111011 => 111111100 => [7,2]
010000101 => 101111010 => 111100110 => [4,2,2,1]
010000110 => 101111001 => 101111010 => [1,1,4,1,1,1]
010000111 => 101111000 => 100110110 => [1,2,2,1,2,1]
010001000 => 101110111 => 111111100 => [7,2]
010001001 => 101110110 => 111110010 => [5,2,1,1]
010001010 => 101110101 => 111101100 => [4,1,2,2]
010001011 => 101110100 => 110101010 => [2,1,1,1,1,1,1,1]
010001100 => 101110011 => 110111100 => [2,1,4,2]
010001101 => 101110010 => 101110010 => [1,1,3,2,1,1]
010001110 => 101110001 => 100111100 => [1,2,4,2]
010001111 => 101110000 => 100011010 => [1,3,2,1,1,1]
010010000 => 101101111 => 111110110 => [5,1,2,1]
010010001 => 101101110 => 111101100 => [4,1,2,2]
010010010 => 101101101 => 111111000 => [6,3]
010010011 => 101101100 => 101111000 => [1,1,4,3]
010010100 => 101101011 => 111110010 => [5,2,1,1]
010010101 => 101101010 => 111110000 => [5,4]
010010110 => 101101001 => 111001100 => [3,2,2,2]
010010111 => 101101000 => 101010100 => [1,1,1,1,1,1,1,2]
010011000 => 101100111 => 110110110 => [2,1,2,1,2,1]
010011001 => 101100110 => 111011000 => [3,1,2,3]
010011010 => 101100101 => 101111000 => [1,1,4,3]
010011011 => 101100100 => 110011000 => [2,2,2,3]
010011100 => 101100011 => 101011010 => [1,1,1,1,2,1,1,1]
010011101 => 101100010 => 100111000 => [1,2,3,3]
010011110 => 101100001 => 100101100 => [1,2,1,1,2,2]
010011111 => 101100000 => 100001100 => [1,4,2,2]
010100000 => 101011111 => 111011110 => [3,1,4,1]
010100001 => 101011110 => 111100110 => [4,2,2,1]
010100010 => 101011101 => 111110010 => [5,2,1,1]
010100011 => 101011100 => 101110010 => [1,1,3,2,1,1]
010100100 => 101011011 => 111101100 => [4,1,2,2]
010100101 => 101011010 => 111110000 => [5,4]
010100110 => 101011001 => 111011000 => [3,1,2,3]
010100111 => 101011000 => 100111000 => [1,2,3,3]
010101000 => 101010111 => 111100110 => [4,2,2,1]
010101001 => 101010110 => 111110000 => [5,4]
010101010 => 101010101 => 111110000 => [5,4]
010101011 => 101010100 => 111100000 => [4,5]
010101100 => 101010011 => 111000110 => [3,3,2,1]
010101101 => 101010010 => 111100000 => [4,5]
010101110 => 101010001 => 101100010 => [1,1,2,3,1,1]
010101111 => 101010000 => 100110000 => [1,2,2,4]
010110000 => 101001111 => 110011110 => [2,2,4,1]
010110001 => 101001110 => 111000110 => [3,3,2,1]
010110010 => 101001101 => 111001100 => [3,2,2,2]
010110011 => 101001100 => 111001000 => [3,2,1,3]
010110100 => 101001011 => 110101010 => [2,1,1,1,1,1,1,1]
010110101 => 101001010 => 111100000 => [4,5]
010110110 => 101001001 => 111000010 => [3,4,1,1]
010110111 => 101001000 => 110010000 => [2,2,1,4]
010111000 => 101000111 => 101001110 => [1,1,1,2,3,1]
010111001 => 101000110 => 101100010 => [1,1,2,3,1,1]
010111010 => 101000101 => 101010100 => [1,1,1,1,1,1,1,2]
010111011 => 101000100 => 101100000 => [1,1,2,5]
010111100 => 101000011 => 100100110 => [1,2,1,2,2,1]
010111101 => 101000010 => 100110000 => [1,2,2,4]
010111110 => 101000001 => 100010010 => [1,3,1,2,1,1]
010111111 => 101000000 => 100001000 => [1,4,1,3]
011000000 => 100111111 => 101111110 => [1,1,6,1]
011000001 => 100111110 => 110011110 => [2,2,4,1]
011000010 => 100111101 => 110110110 => [2,1,2,1,2,1]
011000011 => 100111100 => 110010110 => [2,2,1,1,2,1]
011000100 => 100111011 => 110111100 => [2,1,4,2]
011000101 => 100111010 => 111000110 => [3,3,2,1]
011000110 => 100111001 => 110011100 => [2,2,3,2]
011000111 => 100111000 => 101001010 => [1,1,1,2,1,1,1,1]
011001000 => 100110111 => 101111010 => [1,1,4,1,1,1]
011001001 => 100110110 => 111001100 => [3,2,2,2]
011001010 => 100110101 => 111011000 => [3,1,2,3]
011001011 => 100110100 => 111000010 => [3,4,1,1]
011001100 => 100110011 => 110011100 => [2,2,3,2]
011001101 => 100110010 => 111001000 => [3,2,1,3]
011001110 => 100110001 => 110001100 => [2,3,2,2]
011001111 => 100110000 => 100100100 => [1,2,1,2,1,2]
011010000 => 100101111 => 101101110 => [1,1,2,1,3,1]
011010001 => 100101110 => 110101010 => [2,1,1,1,1,1,1,1]
011010010 => 100101101 => 101111000 => [1,1,4,3]
011010011 => 100101100 => 110011000 => [2,2,2,3]
011010100 => 100101011 => 101110010 => [1,1,3,2,1,1]
011010101 => 100101010 => 111100000 => [4,5]
011010110 => 100101001 => 111001000 => [3,2,1,3]
011010111 => 100101000 => 101100000 => [1,1,2,5]
011011000 => 100100111 => 110010110 => [2,2,1,1,2,1]
011011001 => 100100110 => 111000010 => [3,4,1,1]
011011010 => 100100101 => 110011000 => [2,2,2,3]
011011011 => 100100100 => 111000000 => [3,6]
011011100 => 100100011 => 110000110 => [2,4,2,1]
011011101 => 100100010 => 110010000 => [2,2,1,4]
011011110 => 100100001 => 101000010 => [1,1,1,4,1,1]
011011111 => 100100000 => 100100000 => [1,2,1,5]
011100000 => 100011111 => 100111110 => [1,2,5,1]
011100001 => 100011110 => 101001110 => [1,1,1,2,3,1]
011100010 => 100011101 => 101011010 => [1,1,1,1,2,1,1,1]
011100011 => 100011100 => 110000110 => [2,4,2,1]
011100100 => 100011011 => 100111100 => [1,2,4,2]
011100101 => 100011010 => 101100010 => [1,1,2,3,1,1]
011100110 => 100011001 => 110001100 => [2,3,2,2]
011100111 => 100011000 => 110000100 => [2,4,1,2]
011101000 => 100010111 => 100110110 => [1,2,2,1,2,1]
011101001 => 100010110 => 101010100 => [1,1,1,1,1,1,1,2]
011101010 => 100010101 => 100111000 => [1,2,3,3]
011101011 => 100010100 => 110010000 => [2,2,1,4]
011101100 => 100010011 => 101001010 => [1,1,1,2,1,1,1,1]
011101101 => 100010010 => 101100000 => [1,1,2,5]
011101110 => 100010001 => 110000100 => [2,4,1,2]
011101111 => 100010000 => 110000000 => [2,7]
011110000 => 100001111 => 100011110 => [1,3,4,1]
011110001 => 100001110 => 100100110 => [1,2,1,2,2,1]
011110010 => 100001101 => 100101100 => [1,2,1,1,2,2]
011110011 => 100001100 => 101000010 => [1,1,1,4,1,1]
011110100 => 100001011 => 100011010 => [1,3,2,1,1,1]
011110101 => 100001010 => 100110000 => [1,2,2,4]
011110110 => 100001001 => 100100100 => [1,2,1,2,1,2]
011110111 => 100001000 => 110000000 => [2,7]
011111000 => 100000111 => 100001110 => [1,4,3,1]
011111001 => 100000110 => 100010010 => [1,3,1,2,1,1]
011111010 => 100000101 => 100001100 => [1,4,2,2]
011111011 => 100000100 => 100100000 => [1,2,1,5]
011111100 => 100000011 => 100000110 => [1,5,2,1]
011111101 => 100000010 => 100001000 => [1,4,1,3]
011111110 => 100000001 => 100000010 => [1,6,1,1]
011111111 => 100000000 => 100000000 => [1,8]
100000000 => 011111111 => 111111110 => [8,1]
100000001 => 011111110 => 101111110 => [1,1,6,1]
100000010 => 011111101 => 111011110 => [3,1,4,1]
100000011 => 011111100 => 100111110 => [1,2,5,1]
100000100 => 011111011 => 111110110 => [5,1,2,1]
100000101 => 011111010 => 110011110 => [2,2,4,1]
100000110 => 011111001 => 101101110 => [1,1,2,1,3,1]
100000111 => 011111000 => 100011110 => [1,3,4,1]
100001000 => 011110111 => 111111100 => [7,2]
100001001 => 011110110 => 110110110 => [2,1,2,1,2,1]
100001010 => 011110101 => 111100110 => [4,2,2,1]
100001011 => 011110100 => 101001110 => [1,1,1,2,3,1]
100001100 => 011110011 => 101111010 => [1,1,4,1,1,1]
100001101 => 011110010 => 110010110 => [2,2,1,1,2,1]
100001110 => 011110001 => 100110110 => [1,2,2,1,2,1]
100001111 => 011110000 => 100001110 => [1,4,3,1]
100010000 => 011101111 => 111111100 => [7,2]
100010001 => 011101110 => 110111100 => [2,1,4,2]
100010010 => 011101101 => 111110010 => [5,2,1,1]
100010011 => 011101100 => 101011010 => [1,1,1,1,2,1,1,1]
100010100 => 011101011 => 111101100 => [4,1,2,2]
100010101 => 011101010 => 111000110 => [3,3,2,1]
100010110 => 011101001 => 110101010 => [2,1,1,1,1,1,1,1]
100010111 => 011101000 => 100100110 => [1,2,1,2,2,1]
100011000 => 011100111 => 110111100 => [2,1,4,2]
100011001 => 011100110 => 110011100 => [2,2,3,2]
100011010 => 011100101 => 101110010 => [1,1,3,2,1,1]
100011011 => 011100100 => 110000110 => [2,4,2,1]
100011100 => 011100011 => 100111100 => [1,2,4,2]
100011101 => 011100010 => 101001010 => [1,1,1,2,1,1,1,1]
100011110 => 011100001 => 100011010 => [1,3,2,1,1,1]
100011111 => 011100000 => 100000110 => [1,5,2,1]
100100000 => 011011111 => 111110110 => [5,1,2,1]
100100001 => 011011110 => 101111010 => [1,1,4,1,1,1]
100100010 => 011011101 => 111101100 => [4,1,2,2]
100100011 => 011011100 => 100111100 => [1,2,4,2]
100100100 => 011011011 => 111111000 => [6,3]
100100101 => 011011010 => 111001100 => [3,2,2,2]
100100110 => 011011001 => 101111000 => [1,1,4,3]
100100111 => 011011000 => 100101100 => [1,2,1,1,2,2]
100101000 => 011010111 => 111110010 => [5,2,1,1]
100101001 => 011010110 => 111011000 => [3,1,2,3]
100101010 => 011010101 => 111110000 => [5,4]
100101011 => 011010100 => 101100010 => [1,1,2,3,1,1]
100101100 => 011010011 => 111001100 => [3,2,2,2]
100101101 => 011010010 => 111000010 => [3,4,1,1]
100101110 => 011010001 => 101010100 => [1,1,1,1,1,1,1,2]
100101111 => 011010000 => 100010010 => [1,3,1,2,1,1]
100110000 => 011001111 => 110110110 => [2,1,2,1,2,1]
100110001 => 011001110 => 110011100 => [2,2,3,2]
100110010 => 011001101 => 111011000 => [3,1,2,3]
100110011 => 011001100 => 110001100 => [2,3,2,2]
100110100 => 011001011 => 101111000 => [1,1,4,3]
100110101 => 011001010 => 111001000 => [3,2,1,3]
100110110 => 011001001 => 110011000 => [2,2,2,3]
100110111 => 011001000 => 101000010 => [1,1,1,4,1,1]
100111000 => 011000111 => 101011010 => [1,1,1,1,2,1,1,1]
100111001 => 011000110 => 110001100 => [2,3,2,2]
100111010 => 011000101 => 100111000 => [1,2,3,3]
100111011 => 011000100 => 110000100 => [2,4,1,2]
100111100 => 011000011 => 100101100 => [1,2,1,1,2,2]
100111101 => 011000010 => 100100100 => [1,2,1,2,1,2]
100111110 => 011000001 => 100001100 => [1,4,2,2]
100111111 => 011000000 => 100000010 => [1,6,1,1]
101000000 => 010111111 => 111011110 => [3,1,4,1]
101000001 => 010111110 => 101101110 => [1,1,2,1,3,1]
101000010 => 010111101 => 111100110 => [4,2,2,1]
101000011 => 010111100 => 100110110 => [1,2,2,1,2,1]
101000100 => 010111011 => 111110010 => [5,2,1,1]
101000101 => 010111010 => 110101010 => [2,1,1,1,1,1,1,1]
101000110 => 010111001 => 101110010 => [1,1,3,2,1,1]
101000111 => 010111000 => 100011010 => [1,3,2,1,1,1]
101001000 => 010110111 => 111101100 => [4,1,2,2]
101001001 => 010110110 => 101111000 => [1,1,4,3]
101001010 => 010110101 => 111110000 => [5,4]
101001011 => 010110100 => 101010100 => [1,1,1,1,1,1,1,2]
101001100 => 010110011 => 111011000 => [3,1,2,3]
101001101 => 010110010 => 110011000 => [2,2,2,3]
101001110 => 010110001 => 100111000 => [1,2,3,3]
101001111 => 010110000 => 100001100 => [1,4,2,2]
101010000 => 010101111 => 111100110 => [4,2,2,1]
101010001 => 010101110 => 101110010 => [1,1,3,2,1,1]
101010010 => 010101101 => 111110000 => [5,4]
101010011 => 010101100 => 100111000 => [1,2,3,3]
101010100 => 010101011 => 111110000 => [5,4]
101010101 => 010101010 => 111100000 => [4,5]
101010110 => 010101001 => 111100000 => [4,5]
101010111 => 010101000 => 100110000 => [1,2,2,4]
101011000 => 010100111 => 111000110 => [3,3,2,1]
101011001 => 010100110 => 111001000 => [3,2,1,3]
101011010 => 010100101 => 111100000 => [4,5]
101011011 => 010100100 => 110010000 => [2,2,1,4]
101011100 => 010100011 => 101100010 => [1,1,2,3,1,1]
101011101 => 010100010 => 101100000 => [1,1,2,5]
101011110 => 010100001 => 100110000 => [1,2,2,4]
101011111 => 010100000 => 100001000 => [1,4,1,3]
101100000 => 010011111 => 110011110 => [2,2,4,1]
101100001 => 010011110 => 110010110 => [2,2,1,1,2,1]
101100010 => 010011101 => 111000110 => [3,3,2,1]
101100011 => 010011100 => 101001010 => [1,1,1,2,1,1,1,1]
101100100 => 010011011 => 111001100 => [3,2,2,2]
101100101 => 010011010 => 111000010 => [3,4,1,1]
101100110 => 010011001 => 111001000 => [3,2,1,3]
101100111 => 010011000 => 100100100 => [1,2,1,2,1,2]
101101000 => 010010111 => 110101010 => [2,1,1,1,1,1,1,1]
101101001 => 010010110 => 110011000 => [2,2,2,3]
101101010 => 010010101 => 111100000 => [4,5]
101101011 => 010010100 => 101100000 => [1,1,2,5]
101101100 => 010010011 => 111000010 => [3,4,1,1]
101101101 => 010010010 => 111000000 => [3,6]
101101110 => 010010001 => 110010000 => [2,2,1,4]
101101111 => 010010000 => 100100000 => [1,2,1,5]
101110000 => 010001111 => 101001110 => [1,1,1,2,3,1]
101110001 => 010001110 => 110000110 => [2,4,2,1]
101110010 => 010001101 => 101100010 => [1,1,2,3,1,1]
101110011 => 010001100 => 110000100 => [2,4,1,2]
101110100 => 010001011 => 101010100 => [1,1,1,1,1,1,1,2]
101110101 => 010001010 => 110010000 => [2,2,1,4]
101110110 => 010001001 => 101100000 => [1,1,2,5]
101110111 => 010001000 => 110000000 => [2,7]
101111000 => 010000111 => 100100110 => [1,2,1,2,2,1]
101111001 => 010000110 => 101000010 => [1,1,1,4,1,1]
101111010 => 010000101 => 100110000 => [1,2,2,4]
101111011 => 010000100 => 110000000 => [2,7]
101111100 => 010000011 => 100010010 => [1,3,1,2,1,1]
101111101 => 010000010 => 100100000 => [1,2,1,5]
101111110 => 010000001 => 100001000 => [1,4,1,3]
101111111 => 010000000 => 100000000 => [1,8]
110000000 => 001111111 => 101111110 => [1,1,6,1]
110000001 => 001111110 => 100111110 => [1,2,5,1]
110000010 => 001111101 => 110011110 => [2,2,4,1]
110000011 => 001111100 => 100011110 => [1,3,4,1]
110000100 => 001111011 => 110110110 => [2,1,2,1,2,1]
110000101 => 001111010 => 101001110 => [1,1,1,2,3,1]
110000110 => 001111001 => 110010110 => [2,2,1,1,2,1]
110000111 => 001111000 => 100001110 => [1,4,3,1]
110001000 => 001110111 => 110111100 => [2,1,4,2]
110001001 => 001110110 => 101011010 => [1,1,1,1,2,1,1,1]
110001010 => 001110101 => 111000110 => [3,3,2,1]
110001011 => 001110100 => 100100110 => [1,2,1,2,2,1]
110001100 => 001110011 => 110011100 => [2,2,3,2]
110001101 => 001110010 => 110000110 => [2,4,2,1]
110001110 => 001110001 => 101001010 => [1,1,1,2,1,1,1,1]
110001111 => 001110000 => 100000110 => [1,5,2,1]
110010000 => 001101111 => 101111010 => [1,1,4,1,1,1]
110010001 => 001101110 => 100111100 => [1,2,4,2]
110010010 => 001101101 => 111001100 => [3,2,2,2]
110010011 => 001101100 => 100101100 => [1,2,1,1,2,2]
110010100 => 001101011 => 111011000 => [3,1,2,3]
110010101 => 001101010 => 101100010 => [1,1,2,3,1,1]
110010110 => 001101001 => 111000010 => [3,4,1,1]
110010111 => 001101000 => 100010010 => [1,3,1,2,1,1]
110011000 => 001100111 => 110011100 => [2,2,3,2]
110011001 => 001100110 => 110001100 => [2,3,2,2]
110011010 => 001100101 => 111001000 => [3,2,1,3]
110011011 => 001100100 => 101000010 => [1,1,1,4,1,1]
110011100 => 001100011 => 110001100 => [2,3,2,2]
110011101 => 001100010 => 110000100 => [2,4,1,2]
110011110 => 001100001 => 100100100 => [1,2,1,2,1,2]
110011111 => 001100000 => 100000010 => [1,6,1,1]
110100000 => 001011111 => 101101110 => [1,1,2,1,3,1]
110100001 => 001011110 => 100110110 => [1,2,2,1,2,1]
110100010 => 001011101 => 110101010 => [2,1,1,1,1,1,1,1]
110100011 => 001011100 => 100011010 => [1,3,2,1,1,1]
110100100 => 001011011 => 101111000 => [1,1,4,3]
110100101 => 001011010 => 101010100 => [1,1,1,1,1,1,1,2]
110100110 => 001011001 => 110011000 => [2,2,2,3]
110100111 => 001011000 => 100001100 => [1,4,2,2]
110101000 => 001010111 => 101110010 => [1,1,3,2,1,1]
110101001 => 001010110 => 100111000 => [1,2,3,3]
110101010 => 001010101 => 111100000 => [4,5]
110101011 => 001010100 => 100110000 => [1,2,2,4]
110101100 => 001010011 => 111001000 => [3,2,1,3]
110101101 => 001010010 => 110010000 => [2,2,1,4]
110101110 => 001010001 => 101100000 => [1,1,2,5]
110101111 => 001010000 => 100001000 => [1,4,1,3]
110110000 => 001001111 => 110010110 => [2,2,1,1,2,1]
110110001 => 001001110 => 101001010 => [1,1,1,2,1,1,1,1]
110110010 => 001001101 => 111000010 => [3,4,1,1]
110110011 => 001001100 => 100100100 => [1,2,1,2,1,2]
110110100 => 001001011 => 110011000 => [2,2,2,3]
110110101 => 001001010 => 101100000 => [1,1,2,5]
110110110 => 001001001 => 111000000 => [3,6]
110110111 => 001001000 => 100100000 => [1,2,1,5]
110111000 => 001000111 => 110000110 => [2,4,2,1]
110111001 => 001000110 => 110000100 => [2,4,1,2]
110111010 => 001000101 => 110010000 => [2,2,1,4]
110111011 => 001000100 => 110000000 => [2,7]
110111100 => 001000011 => 101000010 => [1,1,1,4,1,1]
110111101 => 001000010 => 110000000 => [2,7]
110111110 => 001000001 => 100100000 => [1,2,1,5]
110111111 => 001000000 => 100000000 => [1,8]
111000000 => 000111111 => 100111110 => [1,2,5,1]
111000001 => 000111110 => 100011110 => [1,3,4,1]
111000010 => 000111101 => 101001110 => [1,1,1,2,3,1]
111000011 => 000111100 => 100001110 => [1,4,3,1]
111000100 => 000111011 => 101011010 => [1,1,1,1,2,1,1,1]
111000101 => 000111010 => 100100110 => [1,2,1,2,2,1]
111000110 => 000111001 => 110000110 => [2,4,2,1]
111000111 => 000111000 => 100000110 => [1,5,2,1]
111001000 => 000110111 => 100111100 => [1,2,4,2]
111001001 => 000110110 => 100101100 => [1,2,1,1,2,2]
111001010 => 000110101 => 101100010 => [1,1,2,3,1,1]
111001011 => 000110100 => 100010010 => [1,3,1,2,1,1]
111001100 => 000110011 => 110001100 => [2,3,2,2]
111001101 => 000110010 => 101000010 => [1,1,1,4,1,1]
111001110 => 000110001 => 110000100 => [2,4,1,2]
111001111 => 000110000 => 100000010 => [1,6,1,1]
111010000 => 000101111 => 100110110 => [1,2,2,1,2,1]
111010001 => 000101110 => 100011010 => [1,3,2,1,1,1]
111010010 => 000101101 => 101010100 => [1,1,1,1,1,1,1,2]
111010011 => 000101100 => 100001100 => [1,4,2,2]
111010100 => 000101011 => 100111000 => [1,2,3,3]
111010101 => 000101010 => 100110000 => [1,2,2,4]
111010110 => 000101001 => 110010000 => [2,2,1,4]
111010111 => 000101000 => 100001000 => [1,4,1,3]
111011000 => 000100111 => 101001010 => [1,1,1,2,1,1,1,1]
111011001 => 000100110 => 100100100 => [1,2,1,2,1,2]
111011010 => 000100101 => 101100000 => [1,1,2,5]
111011011 => 000100100 => 100100000 => [1,2,1,5]
111011100 => 000100011 => 110000100 => [2,4,1,2]
111011101 => 000100010 => 110000000 => [2,7]
111011110 => 000100001 => 110000000 => [2,7]
111011111 => 000100000 => 100000000 => [1,8]
111100000 => 000011111 => 100011110 => [1,3,4,1]
111100001 => 000011110 => 100001110 => [1,4,3,1]
111100010 => 000011101 => 100100110 => [1,2,1,2,2,1]
111100011 => 000011100 => 100000110 => [1,5,2,1]
111100100 => 000011011 => 100101100 => [1,2,1,1,2,2]
111100101 => 000011010 => 100010010 => [1,3,1,2,1,1]
111100110 => 000011001 => 101000010 => [1,1,1,4,1,1]
111100111 => 000011000 => 100000010 => [1,6,1,1]
111101000 => 000010111 => 100011010 => [1,3,2,1,1,1]
111101001 => 000010110 => 100001100 => [1,4,2,2]
111101010 => 000010101 => 100110000 => [1,2,2,4]
111101011 => 000010100 => 100001000 => [1,4,1,3]
111101100 => 000010011 => 100100100 => [1,2,1,2,1,2]
111101101 => 000010010 => 100100000 => [1,2,1,5]
111101110 => 000010001 => 110000000 => [2,7]
111101111 => 000010000 => 100000000 => [1,8]
111110000 => 000001111 => 100001110 => [1,4,3,1]
111110001 => 000001110 => 100000110 => [1,5,2,1]
111110010 => 000001101 => 100010010 => [1,3,1,2,1,1]
111110011 => 000001100 => 100000010 => [1,6,1,1]
111110100 => 000001011 => 100001100 => [1,4,2,2]
111110101 => 000001010 => 100001000 => [1,4,1,3]
111110110 => 000001001 => 100100000 => [1,2,1,5]
111110111 => 000001000 => 100000000 => [1,8]
111111000 => 000000111 => 100000110 => [1,5,2,1]
111111001 => 000000110 => 100000010 => [1,6,1,1]
111111010 => 000000101 => 100001000 => [1,4,1,3]
111111011 => 000000100 => 100000000 => [1,8]
111111100 => 000000011 => 100000010 => [1,6,1,1]
111111101 => 000000010 => 100000000 => [1,8]
111111110 => 000000001 => 100000000 => [1,8]
111111111 => 000000000 => 000000000 => [9]
1010101010 => 0101010101 => 1111100000 => [5,5]
1010101100 => 0101010011 => 1111000010 => [4,4,1,1]
1010110010 => 0101001101 => 1111000010 => [4,4,1,1]
1010110100 => 0101001011 => 1110100100 => [3,1,1,2,1,2]
1011001010 => 0100110101 => 1111000010 => [4,4,1,1]
1011001100 => 0100110011 => 1110001100 => [3,3,2,2]
1011010010 => 0100101101 => 1110100100 => [3,1,1,2,1,2]
1011010100 => 0100101011 => 1101101000 => [2,1,2,1,1,3]
1011100100 => 0100011011 => 1011001100 => [1,1,2,2,2,2]
1011101000 => 0100010111 => 1010101010 => [1,1,1,1,1,1,1,1,1,1]
1011110000 => 0100001111 => 1001001110 => [1,2,1,2,3,1]
1100101010 => 0011010101 => 1111000010 => [4,4,1,1]
1100101100 => 0011010011 => 1110001100 => [3,3,2,2]
1100110010 => 0011001101 => 1110001100 => [3,3,2,2]
1100110100 => 0011001011 => 1100111000 => [2,2,3,3]
1101001010 => 0010110101 => 1110100100 => [3,1,1,2,1,2]
1101001100 => 0010110011 => 1100111000 => [2,2,3,3]
1101010010 => 0010101101 => 1101101000 => [2,1,2,1,1,3]
1101010100 => 0010101011 => 1011110000 => [1,1,4,4]
1101011000 => 0010100111 => 1110010010 => [3,2,1,2,1,1]
1101100100 => 0010011011 => 1101010100 => [2,1,1,1,1,1,1,2]
1101101000 => 0010010111 => 1100110010 => [2,2,2,2,1,1]
1110010010 => 0001101101 => 1011001100 => [1,1,2,2,2,2]
1110010100 => 0001101011 => 1011011000 => [1,1,2,1,2,3]
1110100010 => 0001011101 => 1010101010 => [1,1,1,1,1,1,1,1,1,1]
1110100100 => 0001011011 => 1001111000 => [1,2,4,3]
1110110000 => 0001001111 => 1010010110 => [1,1,1,2,1,1,2,1]
1111000010 => 0000111101 => 1001001110 => [1,2,1,2,3,1]
1111000100 => 0000111011 => 1001011010 => [1,2,1,1,2,1,1,1]
1111001000 => 0000110111 => 1000111100 => [1,3,4,2]
1111010000 => 0000101111 => 1000110110 => [1,3,2,1,2,1]
1111100000 => 0000011111 => 1000011110 => [1,4,4,1]
101010101010 => 010101010101 => 111111000000 => [6,6]
101010101100 => 010101010011 => 111110000010 => [5,5,1,1]
101010110010 => 010101001101 => 111110000010 => [5,5,1,1]
101010110100 => 010101001011 => 111101000100 => [4,1,1,3,1,2]
101011001010 => 010100110101 => 111110000010 => [5,5,1,1]
101011001100 => 010100110011 => 111100010100 => [4,3,1,1,1,2]
101011010010 => 010100101101 => 111101000100 => [4,1,1,3,1,2]
101011010100 => 010100101011 => 111011001000 => [3,1,2,2,1,3]
101011100100 => 010100011011 => 101110001100 => [1,1,3,3,2,2]
101011101000 => 010100010111 => 101101001010 => [1,1,2,1,1,2,1,1,1,1]
101011110000 => 010100001111 => 100110001110 => [1,2,2,3,3,1]
101100101010 => 010011010101 => 111110000010 => [5,5,1,1]
101100101100 => 010011010011 => 111100001100 => [4,4,2,2]
101100110010 => 010011001101 => 111100010100 => [4,3,1,1,1,2]
101100110100 => 010011001011 => 111001101000 => [3,2,2,1,1,3]
101100111000 => 010011000111 => 110100101010 => [2,1,1,2,1,1,1,1,1,1]
101101001010 => 010010110101 => 111101000100 => [4,1,1,3,1,2]
101101001100 => 010010110011 => 111010011000 => [3,1,1,2,2,3]
101101010010 => 010010101101 => 111011001000 => [3,1,2,2,1,3]
101101010100 => 010010101011 => 110111010000 => [2,1,3,1,1,4]
101101011000 => 010010100111 => 111100001010 => [4,4,1,1,1,1]
101101100100 => 010010011011 => 111010001100 => [3,1,1,3,2,2]
101101101000 => 010010010111 => 111001001010 => [3,2,1,2,1,1,1,1]
101110001100 => 010001110011 => 110100011100 => [2,1,1,3,3,2]
101110010010 => 010001101101 => 101110001100 => [1,1,3,3,2,2]
101110010100 => 010001101011 => 101110011000 => [1,1,3,2,2,3]
101110100010 => 010001011101 => 101101001010 => [1,1,2,1,1,2,1,1,1,1]
101110100100 => 010001011011 => 101011011000 => [1,1,1,1,2,1,2,3]
101110101000 => 010001010111 => 101011010010 => [1,1,1,1,2,1,1,2,1,1]
101111000010 => 010000111101 => 100110001110 => [1,2,2,3,3,1]
101111000100 => 010000111011 => 100110011010 => [1,2,2,2,2,1,1,1]
101111010000 => 010000101111 => 100101010110 => [1,2,1,1,1,1,1,1,2,1]
101111100000 => 010000011111 => 100010011110 => [1,3,1,2,4,1]
110010101010 => 001101010101 => 111110000010 => [5,5,1,1]
110010101100 => 001101010011 => 111100010100 => [4,3,1,1,1,2]
110010110010 => 001101001101 => 111100001100 => [4,4,2,2]
110010110100 => 001101001011 => 111010011000 => [3,1,1,2,2,3]
110010111000 => 001101000111 => 110100011100 => [2,1,1,3,3,2]
110011001010 => 001100110101 => 111100010100 => [4,3,1,1,1,2]
110011001100 => 001100110011 => 111000111000 => [3,3,3,3]
110011010010 => 001100101101 => 111001101000 => [3,2,2,1,1,3]
110011010100 => 001100101011 => 110101110000 => [2,1,1,1,3,4]
110011011000 => 001100100111 => 111000110010 => [3,3,2,2,1,1]
110011100010 => 001100011101 => 110100101010 => [2,1,1,2,1,1,1,1,1,1]
110011100100 => 001100011011 => 110010111000 => [2,2,1,1,3,3]
110011110000 => 001100001111 => 101000110110 => [1,1,1,3,2,1,2,1]
110100101010 => 001011010101 => 111101000100 => [4,1,1,3,1,2]
110100101100 => 001011010011 => 111001101000 => [3,2,2,1,1,3]
110100110010 => 001011001101 => 111010011000 => [3,1,1,2,2,3]
110100110100 => 001011001011 => 110011110000 => [2,2,4,4]
110100111000 => 001011000111 => 110010110010 => [2,2,1,1,2,2,1,1]
110101001010 => 001010110101 => 111011001000 => [3,1,2,2,1,3]
110101001100 => 001010110011 => 110101110000 => [2,1,1,1,3,4]
110101010010 => 001010101101 => 110111010000 => [2,1,3,1,1,4]
110101010100 => 001010101011 => 101111100000 => [1,1,5,5]
110101011000 => 001010100111 => 111100100010 => [4,2,1,3,1,1]
110101100010 => 001010011101 => 111100001010 => [4,4,1,1,1,1]
110101100100 => 001010011011 => 111010100100 => [3,1,1,1,1,2,1,2]
110101101000 => 001010010111 => 111001100010 => [3,2,2,3,1,1]
110110001100 => 001001110011 => 111000110010 => [3,3,2,2,1,1]
110110010010 => 001001101101 => 111010001100 => [3,1,1,3,2,2]
110110010100 => 001001101011 => 110110101000 => [2,1,2,1,1,1,1,3]
110110011000 => 001001100111 => 111000101100 => [3,3,1,1,2,2]
110110100010 => 001001011101 => 111001001010 => [3,2,1,2,1,1,1,1]
110110100100 => 001001011011 => 110011101000 => [2,2,3,1,1,3]
110110101000 => 001001010111 => 110011100010 => [2,2,3,3,1,1]
110111100000 => 001000011111 => 101000011110 => [1,1,1,4,4,1]
111000101100 => 000111010011 => 110100101010 => [2,1,1,2,1,1,1,1,1,1]
111000110010 => 000111001101 => 110100011100 => [2,1,1,3,3,2]
111000110100 => 000111001011 => 110010110010 => [2,2,1,1,2,2,1,1]
111000111000 => 000111000111 => 110000111100 => [2,4,4,2]
111001001010 => 000110110101 => 101110001100 => [1,1,3,3,2,2]
111001001100 => 000110110011 => 110010111000 => [2,2,1,1,3,3]
111001010010 => 000110101101 => 101110011000 => [1,1,3,2,2,3]
111001010100 => 000110101011 => 101110110000 => [1,1,3,1,2,4]
111001011000 => 000110100111 => 101100101100 => [1,1,2,2,1,1,2,2]
111001100100 => 000110011011 => 101100111000 => [1,1,2,2,3,3]
111001101000 => 000110010111 => 110001110100 => [2,3,3,1,1,2]
111010001010 => 000101110101 => 101101001010 => [1,1,2,1,1,2,1,1,1,1]
111010010010 => 000101101101 => 101011011000 => [1,1,1,1,2,1,2,3]
111010010100 => 000101101011 => 101011110000 => [1,1,1,1,4,4]
111010011000 => 000101100111 => 101010110100 => [1,1,1,1,1,1,2,1,1,2]
111010100010 => 000101011101 => 101011010010 => [1,1,1,1,2,1,1,2,1,1]
111010100100 => 000101011011 => 100111101000 => [1,2,4,1,1,3]
111011000100 => 000100111011 => 101010101010 => [1,1,1,1,1,1,1,1,1,1,1,1]
111011010000 => 000100101111 => 101001100110 => [1,1,1,2,2,2,2,1]
111100001010 => 000011110101 => 100110001110 => [1,2,2,3,3,1]
111100001100 => 000011110011 => 101000110110 => [1,1,1,3,2,1,2,1]
111100010010 => 000011101101 => 100110011010 => [1,2,2,2,2,1,1,1]
111100101000 => 000011010111 => 100101110100 => [1,2,1,1,3,1,1,2]
111100110000 => 000011001111 => 100100111010 => [1,2,1,2,3,1,1,1]
111101000010 => 000010111101 => 100101010110 => [1,2,1,1,1,1,1,1,2,1]
111101001000 => 000010110111 => 100011101100 => [1,3,3,1,2,2]
111101010000 => 000010101111 => 100011100110 => [1,3,3,2,2,1]
111101100000 => 000010011111 => 100100101110 => [1,2,1,2,1,1,3,1]
111110000010 => 000001111101 => 100010011110 => [1,3,1,2,4,1]
111110000100 => 000001111011 => 100010110110 => [1,3,1,1,2,1,2,1]
111110010000 => 000001101111 => 100001111010 => [1,4,4,1,1,1]
111110100000 => 000001011111 => 100001101110 => [1,4,2,1,3,1]
111111000000 => 000000111111 => 100000111110 => [1,5,5,1]
1111111110 => 0000000001 => 1000000000 => [1,9]
1001011110 => 0110100001 => 1001010100 => [1,2,1,1,1,1,1,2]
1000101110 => 0111010001 => 1010101010 => [1,1,1,1,1,1,1,1,1,1]
1000011110 => 0111100001 => 1000110110 => [1,3,2,1,2,1]
1000000010 => 0111111101 => 1110111110 => [3,1,5,1]
1000000000 => 0111111111 => 1111111110 => [9,1]
10000000000 => 01111111111 => 11111111110 => [10,1]
11111111110 => 00000000001 => 10000000000 => [1,10]
0111111111 => 1000000000 => 1000000000 => [1,9]
0111100001 => 1000011110 => 1001001110 => [1,2,1,2,3,1]
0100000001 => 1011111110 => 1110111110 => [3,1,5,1]
0000000001 => 1111111110 => 1111111110 => [9,1]
01111111111 => 10000000000 => 10000000000 => [1,10]
0111101001 => 1000010110 => 1001010100 => [1,2,1,1,1,1,1,2]
0111010001 => 1000101110 => 1010101010 => [1,1,1,1,1,1,1,1,1,1]
01100000001 => 10011111110 => 11001111110 => [2,2,6,1]
00000000001 => 11111111110 => 11111111110 => [10,1]
0101010101 => 1010101010 => 1111100000 => [5,5]
0101010011 => 1010101100 => 1011110000 => [1,1,4,4]
0101001101 => 1010110010 => 1011110000 => [1,1,4,4]
0101001011 => 1010110100 => 1101101000 => [2,1,2,1,1,3]
0100110101 => 1011001010 => 1011110000 => [1,1,4,4]
0100110011 => 1011001100 => 1100111000 => [2,2,3,3]
0100101101 => 1011010010 => 1101101000 => [2,1,2,1,1,3]
0100101011 => 1011010100 => 1110100100 => [3,1,1,2,1,2]
0100100111 => 1011011000 => 1001111000 => [1,2,4,3]
0100011011 => 1011100100 => 1100110010 => [2,2,2,2,1,1]
0100010111 => 1011101000 => 1010101010 => [1,1,1,1,1,1,1,1,1,1]
0100001111 => 1011110000 => 1000110110 => [1,3,2,1,2,1]
0011010101 => 1100101010 => 1011110000 => [1,1,4,4]
0011010011 => 1100101100 => 1100111000 => [2,2,3,3]
0011001101 => 1100110010 => 1100111000 => [2,2,3,3]
0011001011 => 1100110100 => 1110001100 => [3,3,2,2]
0010110101 => 1101001010 => 1101101000 => [2,1,2,1,1,3]
0010110011 => 1101001100 => 1110001100 => [3,3,2,2]
0010101101 => 1101010010 => 1110100100 => [3,1,1,2,1,2]
0010101011 => 1101010100 => 1111000010 => [4,4,1,1]
0010100111 => 1101011000 => 1011011000 => [1,1,2,1,2,3]
0010011101 => 1101100010 => 1001111000 => [1,2,4,3]
0010011011 => 1101100100 => 1101010100 => [2,1,1,1,1,1,1,2]
0010010111 => 1101101000 => 1011001100 => [1,1,2,2,2,2]
0010001111 => 1101110000 => 1000111100 => [1,3,4,2]
0001101101 => 1110010010 => 1100110010 => [2,2,2,2,1,1]
0001101011 => 1110010100 => 1110010010 => [3,2,1,2,1,1]
0001011101 => 1110100010 => 1010101010 => [1,1,1,1,1,1,1,1,1,1]
0001001111 => 1110110000 => 1001011010 => [1,2,1,1,2,1,1,1]
0000111101 => 1111000010 => 1000110110 => [1,3,2,1,2,1]
0000111011 => 1111000100 => 1010010110 => [1,1,1,2,1,1,2,1]
0000101111 => 1111010000 => 1001001110 => [1,2,1,2,3,1]
0000011111 => 1111100000 => 1000011110 => [1,4,4,1]
010101010101 => 101010101010 => 111111000000 => [6,6]
010101010011 => 101010101100 => 101111100000 => [1,1,5,5]
010101001101 => 101010110010 => 101111100000 => [1,1,5,5]
010101001011 => 101010110100 => 110111010000 => [2,1,3,1,1,4]
010100110101 => 101011001010 => 101111100000 => [1,1,5,5]
010100110011 => 101011001100 => 110101110000 => [2,1,1,1,3,4]
010100101101 => 101011010010 => 110111010000 => [2,1,3,1,1,4]
010100101011 => 101011010100 => 111011001000 => [3,1,2,2,1,3]
010100100111 => 101011011000 => 100111101000 => [1,2,4,1,1,3]
010100011011 => 101011100100 => 110011100010 => [2,2,3,3,1,1]
010100010111 => 101011101000 => 101011010010 => [1,1,1,1,2,1,1,2,1,1]
010100001111 => 101011110000 => 100011100110 => [1,3,3,2,2,1]
010011010101 => 101100101010 => 101111100000 => [1,1,5,5]
010011010011 => 101100101100 => 110011110000 => [2,2,4,4]
010011001101 => 101100110010 => 110101110000 => [2,1,1,1,3,4]
010011001011 => 101100110100 => 111010011000 => [3,1,1,2,2,3]
010011000111 => 101100111000 => 101010110100 => [1,1,1,1,1,1,2,1,1,2]
010010110101 => 101101001010 => 110111010000 => [2,1,3,1,1,4]
010010110011 => 101101001100 => 111001101000 => [3,2,2,1,1,3]
010010101101 => 101101010010 => 111011001000 => [3,1,2,2,1,3]
010010101011 => 101101010100 => 111101000100 => [4,1,1,3,1,2]
010010100111 => 101101011000 => 101011110000 => [1,1,1,1,4,4]
010010011101 => 101101100010 => 100111101000 => [1,2,4,1,1,3]
010010011011 => 101101100100 => 110011101000 => [2,2,3,1,1,3]
010010010111 => 101101101000 => 101011011000 => [1,1,1,1,2,1,2,3]
010010001111 => 101101110000 => 100011101100 => [1,3,3,1,2,2]
010001110011 => 101110001100 => 110001110100 => [2,3,3,1,1,2]
010001101101 => 101110010010 => 110011100010 => [2,2,3,3,1,1]
010001101011 => 101110010100 => 111001100010 => [3,2,2,3,1,1]
010001011101 => 101110100010 => 101011010010 => [1,1,1,1,2,1,1,2,1,1]
010001011011 => 101110100100 => 111001001010 => [3,2,1,2,1,1,1,1]
010001010111 => 101110101000 => 101101001010 => [1,1,2,1,1,2,1,1,1,1]
010000111101 => 101111000010 => 100011100110 => [1,3,3,2,2,1]
010000111011 => 101111000100 => 101001100110 => [1,1,1,2,2,2,2,1]
010000101111 => 101111010000 => 100101010110 => [1,2,1,1,1,1,1,1,2,1]
010000011111 => 101111100000 => 100001101110 => [1,4,2,1,3,1]
001101010101 => 110010101010 => 101111100000 => [1,1,5,5]
001101010011 => 110010101100 => 110101110000 => [2,1,1,1,3,4]
001101001101 => 110010110010 => 110011110000 => [2,2,4,4]
001101001011 => 110010110100 => 111001101000 => [3,2,2,1,1,3]
001101000111 => 110010111000 => 110001110100 => [2,3,3,1,1,2]
001100110101 => 110011001010 => 110101110000 => [2,1,1,1,3,4]
001100110011 => 110011001100 => 111000111000 => [3,3,3,3]
001100101101 => 110011010010 => 111010011000 => [3,1,1,2,2,3]
001100101011 => 110011010100 => 111100010100 => [4,3,1,1,1,2]
001100100111 => 110011011000 => 101100111000 => [1,1,2,2,3,3]
001100011101 => 110011100010 => 101010110100 => [1,1,1,1,1,1,2,1,1,2]
001100011011 => 110011100100 => 111000101100 => [3,3,1,1,2,2]
001100001111 => 110011110000 => 100100111010 => [1,2,1,2,3,1,1,1]
001011010101 => 110100101010 => 110111010000 => [2,1,3,1,1,4]
001011010011 => 110100101100 => 111010011000 => [3,1,1,2,2,3]
001011001101 => 110100110010 => 111001101000 => [3,2,2,1,1,3]
001011001011 => 110100110100 => 111100001100 => [4,4,2,2]
001011000111 => 110100111000 => 101100101100 => [1,1,2,2,1,1,2,2]
001010110101 => 110101001010 => 111011001000 => [3,1,2,2,1,3]
001010110011 => 110101001100 => 111100010100 => [4,3,1,1,1,2]
001010101101 => 110101010010 => 111101000100 => [4,1,1,3,1,2]
001010101011 => 110101010100 => 111110000010 => [5,5,1,1]
001010100111 => 110101011000 => 101110110000 => [1,1,3,1,2,4]
001010011101 => 110101100010 => 101011110000 => [1,1,1,1,4,4]
001010011011 => 110101100100 => 110110101000 => [2,1,2,1,1,1,1,3]
001010010111 => 110101101000 => 101110011000 => [1,1,3,2,2,3]
001010001111 => 110101110000 => 100101110100 => [1,2,1,1,3,1,1,2]
001001110101 => 110110001010 => 100111101000 => [1,2,4,1,1,3]
001001110011 => 110110001100 => 101100111000 => [1,1,2,2,3,3]
001001101101 => 110110010010 => 110011101000 => [2,2,3,1,1,3]
001001101011 => 110110010100 => 111010100100 => [3,1,1,1,1,2,1,2]
001001100111 => 110110011000 => 110010111000 => [2,2,1,1,3,3]
001001011101 => 110110100010 => 101011011000 => [1,1,1,1,2,1,2,3]
001001011011 => 110110100100 => 111010001100 => [3,1,1,3,2,2]
001001010111 => 110110101000 => 101110001100 => [1,1,3,3,2,2]
001000111101 => 110111000010 => 100011101100 => [1,3,3,1,2,2]
001000011111 => 110111100000 => 100001111010 => [1,4,4,1,1,1]
000111010011 => 111000101100 => 101010110100 => [1,1,1,1,1,1,2,1,1,2]
000111001101 => 111000110010 => 110001110100 => [2,3,3,1,1,2]
000111001011 => 111000110100 => 101100101100 => [1,1,2,2,1,1,2,2]
000111000111 => 111000111000 => 110000111100 => [2,4,4,2]
000110110101 => 111001001010 => 110011100010 => [2,2,3,3,1,1]
000110110011 => 111001001100 => 111000101100 => [3,3,1,1,2,2]
000110101101 => 111001010010 => 111001100010 => [3,2,2,3,1,1]
000110101011 => 111001010100 => 111100100010 => [4,2,1,3,1,1]
000110100111 => 111001011000 => 110010110010 => [2,2,1,1,2,2,1,1]
000110011011 => 111001100100 => 111000110010 => [3,3,2,2,1,1]
000110010111 => 111001101000 => 110100011100 => [2,1,1,3,3,2]
000101110101 => 111010001010 => 101011010010 => [1,1,1,1,2,1,1,2,1,1]
000101101101 => 111010010010 => 111001001010 => [3,2,1,2,1,1,1,1]
000101101011 => 111010010100 => 111100001010 => [4,4,1,1,1,1]
000101100111 => 111010011000 => 110100101010 => [2,1,1,2,1,1,1,1,1,1]
000101011101 => 111010100010 => 101101001010 => [1,1,2,1,1,2,1,1,1,1]
000100111011 => 111011000100 => 101010101010 => [1,1,1,1,1,1,1,1,1,1,1,1]
000100101111 => 111011010000 => 100110011010 => [1,2,2,2,2,1,1,1]
000011110101 => 111100001010 => 100011100110 => [1,3,3,2,2,1]
000011110011 => 111100001100 => 100100111010 => [1,2,1,2,3,1,1,1]
000011101101 => 111100010010 => 101001100110 => [1,1,1,2,2,2,2,1]
000011001111 => 111100110000 => 101000110110 => [1,1,1,3,2,1,2,1]
000010111101 => 111101000010 => 100101010110 => [1,2,1,1,1,1,1,1,2,1]
000010101111 => 111101010000 => 100110001110 => [1,2,2,3,3,1]
000010011111 => 111101100000 => 100010110110 => [1,3,1,1,2,1,2,1]
000001111101 => 111110000010 => 100001101110 => [1,4,2,1,3,1]
000001111011 => 111110000100 => 100100101110 => [1,2,1,2,1,1,3,1]
000001101111 => 111110010000 => 101000011110 => [1,1,1,4,4,1]
000001011111 => 111110100000 => 100010011110 => [1,3,1,2,4,1]
000000111111 => 111111000000 => 100000111110 => [1,5,5,1]
0000000000 => 1111111111 => 1111111111 => [10]
0000000110 => 1111111001 => 1011111110 => [1,1,7,1]
0000011000 => 1111100111 => 1011111110 => [1,1,7,1]
0000011110 => 1111100001 => 1000111110 => [1,3,5,1]
0001100000 => 1110011111 => 1011111110 => [1,1,7,1]
0001111000 => 1110000111 => 1000111110 => [1,3,5,1]
0001111110 => 1110000001 => 1000001110 => [1,5,3,1]
0001000010 => 1110111101 => 1111111100 => [8,2]
0110000000 => 1001111111 => 1011111110 => [1,1,7,1]
0110011110 => 1001100001 => 1010001100 => [1,1,1,3,2,2]
0110010010 => 1001101101 => 1110111000 => [3,1,3,3]
0111100000 => 1000011111 => 1000111110 => [1,3,5,1]
0111100110 => 1000011001 => 1010001100 => [1,1,1,3,2,2]
0111111000 => 1000000111 => 1000001110 => [1,5,3,1]
0111111110 => 1000000001 => 1000000010 => [1,7,1,1]
0111110010 => 1000001101 => 1000101100 => [1,3,1,1,2,2]
0100100110 => 1011011001 => 1110111000 => [3,1,3,3]
0100111110 => 1011000001 => 1000101100 => [1,3,1,1,2,2]
0100110010 => 1011001101 => 1110111000 => [3,1,3,3]
0100001000 => 1011110111 => 1111111100 => [8,2]
0101001010 => 1010110101 => 1111110000 => [6,4]
000000000000 => 111111111111 => 111111111111 => [12]
000001111110 => 111110000001 => 100000111110 => [1,5,5,1]
000110000110 => 111001111001 => 110011111100 => [2,2,6,2]
000110011110 => 111001100001 => 101000110110 => [1,1,1,3,2,1,2,1]
000111100110 => 111000011001 => 100100111010 => [1,2,1,2,3,1,1,1]
000111111000 => 111000000111 => 100000111110 => [1,5,5,1]
000111110010 => 111000001101 => 100001111010 => [1,4,4,1,1,1]
000111011010 => 111000100101 => 101001100110 => [1,1,1,2,2,2,2,1]
000100111110 => 111011000001 => 100010110110 => [1,3,1,1,2,1,2,1]
000101111010 => 111010000101 => 100101010110 => [1,2,1,1,1,1,1,1,2,1]
011000011000 => 100111100111 => 110011111100 => [2,2,6,2]
011000011110 => 100111100001 => 100100111010 => [1,2,1,2,3,1,1,1]
011001100110 => 100110011001 => 111000111000 => [3,3,3,3]
011001111000 => 100110000111 => 101000110110 => [1,1,1,3,2,1,2,1]
011001110010 => 100110001101 => 110010111000 => [2,2,1,1,3,3]
011001011010 => 100110100101 => 111010011000 => [3,1,1,2,2,3]
011110000110 => 100001111001 => 101000110110 => [1,1,1,3,2,1,2,1]
011110011000 => 100001100111 => 100100111010 => [1,2,1,2,3,1,1,1]
011110011110 => 100001100001 => 110000001100 => [2,6,2,2]
011111100000 => 100000011111 => 100000111110 => [1,5,5,1]
011111001000 => 100000110111 => 100001111010 => [1,4,4,1,1,1]
011111000010 => 100000111101 => 100010110110 => [1,3,1,1,2,1,2,1]
011100011010 => 100011100101 => 110010110010 => [2,2,1,1,2,2,1,1]
011101101000 => 100010010111 => 101001100110 => [1,1,1,2,2,2,2,1]
011101100010 => 100010011101 => 101010101010 => [1,1,1,1,1,1,1,1,1,1,1,1]
011101001010 => 100010110101 => 101011110000 => [1,1,1,1,4,4]
010011100110 => 101100011001 => 101100111000 => [1,1,2,2,3,3]
010011111000 => 101100000111 => 100010110110 => [1,3,1,1,2,1,2,1]
010011011010 => 101100100101 => 110011101000 => [2,2,3,1,1,3]
010000111110 => 101111000001 => 100001111010 => [1,4,4,1,1,1]
010001111010 => 101110000101 => 100011101100 => [1,3,3,1,2,2]
010110100110 => 101001011001 => 111010011000 => [3,1,1,2,2,3]
010110110010 => 101001001101 => 111010001100 => [3,1,1,3,2,2]
010110001110 => 101001110001 => 101100101100 => [1,1,2,2,1,1,2,2]
010110011010 => 101001100101 => 111001101000 => [3,2,2,1,1,3]
010111101000 => 101000010111 => 100101010110 => [1,2,1,1,1,1,1,1,2,1]
010111100010 => 101000011101 => 100110011010 => [1,2,2,2,2,1,1,1]
010111001010 => 101000110101 => 101110011000 => [1,1,3,2,2,3]
010100101110 => 101011010001 => 101110011000 => [1,1,3,2,2,3]
010100111010 => 101011000101 => 101011110000 => [1,1,1,1,4,4]
010101101010 => 101010010101 => 111011001000 => [3,1,2,2,1,3]
0010101010 => 1101010101 => 1111100010 => [5,3,1,1]
0101010100 => 1010101011 => 1111100010 => [5,3,1,1]
00101010101 => 11010101010 => 11111100000 => [6,5]
0010100000 => 1101011111 => 1110111110 => [3,1,5,1]
0010111100 => 1101000011 => 1001001110 => [1,2,1,2,3,1]
0011110100 => 1100001011 => 1000110110 => [1,3,2,1,2,1]
0000010100 => 1111101011 => 1110111110 => [3,1,5,1]
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.
Map
Burrows-Wheeler
Description
The Burrows-Wheeler transform of a binary word.
The Burrows-Wheeler transform of a finite word w is obtained from w by first listing the conjugates of w in lexicographic order and then concatenating the final letters of the conjugates in this order.
The Burrows-Wheeler transform of a finite word w is obtained from w by first listing the conjugates of w in lexicographic order and then concatenating the final letters of the conjugates in this order.
Map
delta morphism
Description
Applies the delta morphism to a binary word.
The delta morphism of a finite word w is the integer compositions composed of the lengths of consecutive runs of the same letter in w.
The delta morphism of a finite word w is the integer compositions composed of the lengths of consecutive runs of the same letter in w.
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