Identifier
Mp00105:
Binary words
—complement⟶
Binary words
Mp00097: Binary words —delta morphism⟶ Integer compositions
Mp00097: Binary words —delta morphism⟶ Integer compositions
Images
0 => 1 => [1]
1 => 0 => [1]
00 => 11 => [2]
01 => 10 => [1,1]
10 => 01 => [1,1]
11 => 00 => [2]
000 => 111 => [3]
001 => 110 => [2,1]
010 => 101 => [1,1,1]
011 => 100 => [1,2]
100 => 011 => [1,2]
101 => 010 => [1,1,1]
110 => 001 => [2,1]
111 => 000 => [3]
0000 => 1111 => [4]
0001 => 1110 => [3,1]
0010 => 1101 => [2,1,1]
0011 => 1100 => [2,2]
0100 => 1011 => [1,1,2]
0101 => 1010 => [1,1,1,1]
0110 => 1001 => [1,2,1]
0111 => 1000 => [1,3]
1000 => 0111 => [1,3]
1001 => 0110 => [1,2,1]
1010 => 0101 => [1,1,1,1]
1011 => 0100 => [1,1,2]
1100 => 0011 => [2,2]
1101 => 0010 => [2,1,1]
1110 => 0001 => [3,1]
1111 => 0000 => [4]
00000 => 11111 => [5]
00001 => 11110 => [4,1]
00010 => 11101 => [3,1,1]
00011 => 11100 => [3,2]
00100 => 11011 => [2,1,2]
00101 => 11010 => [2,1,1,1]
00110 => 11001 => [2,2,1]
00111 => 11000 => [2,3]
01000 => 10111 => [1,1,3]
01001 => 10110 => [1,1,2,1]
01010 => 10101 => [1,1,1,1,1]
01011 => 10100 => [1,1,1,2]
01100 => 10011 => [1,2,2]
01101 => 10010 => [1,2,1,1]
01110 => 10001 => [1,3,1]
01111 => 10000 => [1,4]
10000 => 01111 => [1,4]
10001 => 01110 => [1,3,1]
10010 => 01101 => [1,2,1,1]
10011 => 01100 => [1,2,2]
10100 => 01011 => [1,1,1,2]
10101 => 01010 => [1,1,1,1,1]
10110 => 01001 => [1,1,2,1]
10111 => 01000 => [1,1,3]
11000 => 00111 => [2,3]
11001 => 00110 => [2,2,1]
11010 => 00101 => [2,1,1,1]
11011 => 00100 => [2,1,2]
11100 => 00011 => [3,2]
11101 => 00010 => [3,1,1]
11110 => 00001 => [4,1]
11111 => 00000 => [5]
000000 => 111111 => [6]
000001 => 111110 => [5,1]
000010 => 111101 => [4,1,1]
000011 => 111100 => [4,2]
000100 => 111011 => [3,1,2]
000101 => 111010 => [3,1,1,1]
000110 => 111001 => [3,2,1]
000111 => 111000 => [3,3]
001000 => 110111 => [2,1,3]
001001 => 110110 => [2,1,2,1]
001010 => 110101 => [2,1,1,1,1]
001011 => 110100 => [2,1,1,2]
001100 => 110011 => [2,2,2]
001101 => 110010 => [2,2,1,1]
001110 => 110001 => [2,3,1]
001111 => 110000 => [2,4]
010000 => 101111 => [1,1,4]
010001 => 101110 => [1,1,3,1]
010010 => 101101 => [1,1,2,1,1]
010011 => 101100 => [1,1,2,2]
010100 => 101011 => [1,1,1,1,2]
010101 => 101010 => [1,1,1,1,1,1]
010110 => 101001 => [1,1,1,2,1]
010111 => 101000 => [1,1,1,3]
011000 => 100111 => [1,2,3]
011001 => 100110 => [1,2,2,1]
011010 => 100101 => [1,2,1,1,1]
011011 => 100100 => [1,2,1,2]
011100 => 100011 => [1,3,2]
011101 => 100010 => [1,3,1,1]
011110 => 100001 => [1,4,1]
011111 => 100000 => [1,5]
100000 => 011111 => [1,5]
100001 => 011110 => [1,4,1]
100010 => 011101 => [1,3,1,1]
100011 => 011100 => [1,3,2]
100100 => 011011 => [1,2,1,2]
100101 => 011010 => [1,2,1,1,1]
100110 => 011001 => [1,2,2,1]
>>> Load all 3168 entries. <<<
100111 => 011000 => [1,2,3]
101000 => 010111 => [1,1,1,3]
101001 => 010110 => [1,1,1,2,1]
101010 => 010101 => [1,1,1,1,1,1]
101011 => 010100 => [1,1,1,1,2]
101100 => 010011 => [1,1,2,2]
101101 => 010010 => [1,1,2,1,1]
101110 => 010001 => [1,1,3,1]
101111 => 010000 => [1,1,4]
110000 => 001111 => [2,4]
110001 => 001110 => [2,3,1]
110010 => 001101 => [2,2,1,1]
110011 => 001100 => [2,2,2]
110100 => 001011 => [2,1,1,2]
110101 => 001010 => [2,1,1,1,1]
110110 => 001001 => [2,1,2,1]
110111 => 001000 => [2,1,3]
111000 => 000111 => [3,3]
111001 => 000110 => [3,2,1]
111010 => 000101 => [3,1,1,1]
111011 => 000100 => [3,1,2]
111100 => 000011 => [4,2]
111101 => 000010 => [4,1,1]
111110 => 000001 => [5,1]
111111 => 000000 => [6]
0000000 => 1111111 => [7]
0000001 => 1111110 => [6,1]
0000010 => 1111101 => [5,1,1]
0000011 => 1111100 => [5,2]
0000100 => 1111011 => [4,1,2]
0000101 => 1111010 => [4,1,1,1]
0000110 => 1111001 => [4,2,1]
0000111 => 1111000 => [4,3]
0001000 => 1110111 => [3,1,3]
0001001 => 1110110 => [3,1,2,1]
0001010 => 1110101 => [3,1,1,1,1]
0001011 => 1110100 => [3,1,1,2]
0001100 => 1110011 => [3,2,2]
0001101 => 1110010 => [3,2,1,1]
0001110 => 1110001 => [3,3,1]
0001111 => 1110000 => [3,4]
0010000 => 1101111 => [2,1,4]
0010001 => 1101110 => [2,1,3,1]
0010010 => 1101101 => [2,1,2,1,1]
0010011 => 1101100 => [2,1,2,2]
0010100 => 1101011 => [2,1,1,1,2]
0010101 => 1101010 => [2,1,1,1,1,1]
0010110 => 1101001 => [2,1,1,2,1]
0010111 => 1101000 => [2,1,1,3]
0011000 => 1100111 => [2,2,3]
0011001 => 1100110 => [2,2,2,1]
0011010 => 1100101 => [2,2,1,1,1]
0011011 => 1100100 => [2,2,1,2]
0011100 => 1100011 => [2,3,2]
0011101 => 1100010 => [2,3,1,1]
0011110 => 1100001 => [2,4,1]
0011111 => 1100000 => [2,5]
0100000 => 1011111 => [1,1,5]
0100001 => 1011110 => [1,1,4,1]
0100010 => 1011101 => [1,1,3,1,1]
0100011 => 1011100 => [1,1,3,2]
0100100 => 1011011 => [1,1,2,1,2]
0100101 => 1011010 => [1,1,2,1,1,1]
0100110 => 1011001 => [1,1,2,2,1]
0100111 => 1011000 => [1,1,2,3]
0101000 => 1010111 => [1,1,1,1,3]
0101001 => 1010110 => [1,1,1,1,2,1]
0101010 => 1010101 => [1,1,1,1,1,1,1]
0101011 => 1010100 => [1,1,1,1,1,2]
0101100 => 1010011 => [1,1,1,2,2]
0101101 => 1010010 => [1,1,1,2,1,1]
0101110 => 1010001 => [1,1,1,3,1]
0101111 => 1010000 => [1,1,1,4]
0110000 => 1001111 => [1,2,4]
0110001 => 1001110 => [1,2,3,1]
0110010 => 1001101 => [1,2,2,1,1]
0110011 => 1001100 => [1,2,2,2]
0110100 => 1001011 => [1,2,1,1,2]
0110101 => 1001010 => [1,2,1,1,1,1]
0110110 => 1001001 => [1,2,1,2,1]
0110111 => 1001000 => [1,2,1,3]
0111000 => 1000111 => [1,3,3]
0111001 => 1000110 => [1,3,2,1]
0111010 => 1000101 => [1,3,1,1,1]
0111011 => 1000100 => [1,3,1,2]
0111100 => 1000011 => [1,4,2]
0111101 => 1000010 => [1,4,1,1]
0111110 => 1000001 => [1,5,1]
0111111 => 1000000 => [1,6]
1000000 => 0111111 => [1,6]
1000001 => 0111110 => [1,5,1]
1000010 => 0111101 => [1,4,1,1]
1000011 => 0111100 => [1,4,2]
1000100 => 0111011 => [1,3,1,2]
1000101 => 0111010 => [1,3,1,1,1]
1000110 => 0111001 => [1,3,2,1]
1000111 => 0111000 => [1,3,3]
1001000 => 0110111 => [1,2,1,3]
1001001 => 0110110 => [1,2,1,2,1]
1001010 => 0110101 => [1,2,1,1,1,1]
1001011 => 0110100 => [1,2,1,1,2]
1001100 => 0110011 => [1,2,2,2]
1001101 => 0110010 => [1,2,2,1,1]
1001110 => 0110001 => [1,2,3,1]
1001111 => 0110000 => [1,2,4]
1010000 => 0101111 => [1,1,1,4]
1010001 => 0101110 => [1,1,1,3,1]
1010010 => 0101101 => [1,1,1,2,1,1]
1010011 => 0101100 => [1,1,1,2,2]
1010100 => 0101011 => [1,1,1,1,1,2]
1010101 => 0101010 => [1,1,1,1,1,1,1]
1010110 => 0101001 => [1,1,1,1,2,1]
1010111 => 0101000 => [1,1,1,1,3]
1011000 => 0100111 => [1,1,2,3]
1011001 => 0100110 => [1,1,2,2,1]
1011010 => 0100101 => [1,1,2,1,1,1]
1011011 => 0100100 => [1,1,2,1,2]
1011100 => 0100011 => [1,1,3,2]
1011101 => 0100010 => [1,1,3,1,1]
1011110 => 0100001 => [1,1,4,1]
1011111 => 0100000 => [1,1,5]
1100000 => 0011111 => [2,5]
1100001 => 0011110 => [2,4,1]
1100010 => 0011101 => [2,3,1,1]
1100011 => 0011100 => [2,3,2]
1100100 => 0011011 => [2,2,1,2]
1100101 => 0011010 => [2,2,1,1,1]
1100110 => 0011001 => [2,2,2,1]
1100111 => 0011000 => [2,2,3]
1101000 => 0010111 => [2,1,1,3]
1101001 => 0010110 => [2,1,1,2,1]
1101010 => 0010101 => [2,1,1,1,1,1]
1101011 => 0010100 => [2,1,1,1,2]
1101100 => 0010011 => [2,1,2,2]
1101101 => 0010010 => [2,1,2,1,1]
1101110 => 0010001 => [2,1,3,1]
1101111 => 0010000 => [2,1,4]
1110000 => 0001111 => [3,4]
1110001 => 0001110 => [3,3,1]
1110010 => 0001101 => [3,2,1,1]
1110011 => 0001100 => [3,2,2]
1110100 => 0001011 => [3,1,1,2]
1110101 => 0001010 => [3,1,1,1,1]
1110110 => 0001001 => [3,1,2,1]
1110111 => 0001000 => [3,1,3]
1111000 => 0000111 => [4,3]
1111001 => 0000110 => [4,2,1]
1111010 => 0000101 => [4,1,1,1]
1111011 => 0000100 => [4,1,2]
1111100 => 0000011 => [5,2]
1111101 => 0000010 => [5,1,1]
1111110 => 0000001 => [6,1]
1111111 => 0000000 => [7]
00000000 => 11111111 => [8]
00000001 => 11111110 => [7,1]
00000010 => 11111101 => [6,1,1]
00000011 => 11111100 => [6,2]
00000100 => 11111011 => [5,1,2]
00000101 => 11111010 => [5,1,1,1]
00000110 => 11111001 => [5,2,1]
00000111 => 11111000 => [5,3]
00001000 => 11110111 => [4,1,3]
00001001 => 11110110 => [4,1,2,1]
00001010 => 11110101 => [4,1,1,1,1]
00001011 => 11110100 => [4,1,1,2]
00001100 => 11110011 => [4,2,2]
00001101 => 11110010 => [4,2,1,1]
00001110 => 11110001 => [4,3,1]
00001111 => 11110000 => [4,4]
00010000 => 11101111 => [3,1,4]
00010001 => 11101110 => [3,1,3,1]
00010010 => 11101101 => [3,1,2,1,1]
00010011 => 11101100 => [3,1,2,2]
00010100 => 11101011 => [3,1,1,1,2]
00010101 => 11101010 => [3,1,1,1,1,1]
00010110 => 11101001 => [3,1,1,2,1]
00010111 => 11101000 => [3,1,1,3]
00011000 => 11100111 => [3,2,3]
00011001 => 11100110 => [3,2,2,1]
00011010 => 11100101 => [3,2,1,1,1]
00011011 => 11100100 => [3,2,1,2]
00011100 => 11100011 => [3,3,2]
00011101 => 11100010 => [3,3,1,1]
00011110 => 11100001 => [3,4,1]
00011111 => 11100000 => [3,5]
00100000 => 11011111 => [2,1,5]
00100001 => 11011110 => [2,1,4,1]
00100010 => 11011101 => [2,1,3,1,1]
00100011 => 11011100 => [2,1,3,2]
00100100 => 11011011 => [2,1,2,1,2]
00100101 => 11011010 => [2,1,2,1,1,1]
00100110 => 11011001 => [2,1,2,2,1]
00100111 => 11011000 => [2,1,2,3]
00101000 => 11010111 => [2,1,1,1,3]
00101001 => 11010110 => [2,1,1,1,2,1]
00101010 => 11010101 => [2,1,1,1,1,1,1]
00101011 => 11010100 => [2,1,1,1,1,2]
00101100 => 11010011 => [2,1,1,2,2]
00101101 => 11010010 => [2,1,1,2,1,1]
00101110 => 11010001 => [2,1,1,3,1]
00101111 => 11010000 => [2,1,1,4]
00110000 => 11001111 => [2,2,4]
00110001 => 11001110 => [2,2,3,1]
00110010 => 11001101 => [2,2,2,1,1]
00110011 => 11001100 => [2,2,2,2]
00110100 => 11001011 => [2,2,1,1,2]
00110101 => 11001010 => [2,2,1,1,1,1]
00110110 => 11001001 => [2,2,1,2,1]
00110111 => 11001000 => [2,2,1,3]
00111000 => 11000111 => [2,3,3]
00111001 => 11000110 => [2,3,2,1]
00111010 => 11000101 => [2,3,1,1,1]
00111011 => 11000100 => [2,3,1,2]
00111100 => 11000011 => [2,4,2]
00111101 => 11000010 => [2,4,1,1]
00111110 => 11000001 => [2,5,1]
00111111 => 11000000 => [2,6]
01000000 => 10111111 => [1,1,6]
01000001 => 10111110 => [1,1,5,1]
01000010 => 10111101 => [1,1,4,1,1]
01000011 => 10111100 => [1,1,4,2]
01000100 => 10111011 => [1,1,3,1,2]
01000101 => 10111010 => [1,1,3,1,1,1]
01000110 => 10111001 => [1,1,3,2,1]
01000111 => 10111000 => [1,1,3,3]
01001000 => 10110111 => [1,1,2,1,3]
01001001 => 10110110 => [1,1,2,1,2,1]
01001010 => 10110101 => [1,1,2,1,1,1,1]
01001011 => 10110100 => [1,1,2,1,1,2]
01001100 => 10110011 => [1,1,2,2,2]
01001101 => 10110010 => [1,1,2,2,1,1]
01001110 => 10110001 => [1,1,2,3,1]
01001111 => 10110000 => [1,1,2,4]
01010000 => 10101111 => [1,1,1,1,4]
01010001 => 10101110 => [1,1,1,1,3,1]
01010010 => 10101101 => [1,1,1,1,2,1,1]
01010011 => 10101100 => [1,1,1,1,2,2]
01010100 => 10101011 => [1,1,1,1,1,1,2]
01010101 => 10101010 => [1,1,1,1,1,1,1,1]
01010110 => 10101001 => [1,1,1,1,1,2,1]
01010111 => 10101000 => [1,1,1,1,1,3]
01011000 => 10100111 => [1,1,1,2,3]
01011001 => 10100110 => [1,1,1,2,2,1]
01011010 => 10100101 => [1,1,1,2,1,1,1]
01011011 => 10100100 => [1,1,1,2,1,2]
01011100 => 10100011 => [1,1,1,3,2]
01011101 => 10100010 => [1,1,1,3,1,1]
01011110 => 10100001 => [1,1,1,4,1]
01011111 => 10100000 => [1,1,1,5]
01100000 => 10011111 => [1,2,5]
01100001 => 10011110 => [1,2,4,1]
01100010 => 10011101 => [1,2,3,1,1]
01100011 => 10011100 => [1,2,3,2]
01100100 => 10011011 => [1,2,2,1,2]
01100101 => 10011010 => [1,2,2,1,1,1]
01100110 => 10011001 => [1,2,2,2,1]
01100111 => 10011000 => [1,2,2,3]
01101000 => 10010111 => [1,2,1,1,3]
01101001 => 10010110 => [1,2,1,1,2,1]
01101010 => 10010101 => [1,2,1,1,1,1,1]
01101011 => 10010100 => [1,2,1,1,1,2]
01101100 => 10010011 => [1,2,1,2,2]
01101101 => 10010010 => [1,2,1,2,1,1]
01101110 => 10010001 => [1,2,1,3,1]
01101111 => 10010000 => [1,2,1,4]
01110000 => 10001111 => [1,3,4]
01110001 => 10001110 => [1,3,3,1]
01110010 => 10001101 => [1,3,2,1,1]
01110011 => 10001100 => [1,3,2,2]
01110100 => 10001011 => [1,3,1,1,2]
01110101 => 10001010 => [1,3,1,1,1,1]
01110110 => 10001001 => [1,3,1,2,1]
01110111 => 10001000 => [1,3,1,3]
01111000 => 10000111 => [1,4,3]
01111001 => 10000110 => [1,4,2,1]
01111010 => 10000101 => [1,4,1,1,1]
01111011 => 10000100 => [1,4,1,2]
01111100 => 10000011 => [1,5,2]
01111101 => 10000010 => [1,5,1,1]
01111110 => 10000001 => [1,6,1]
01111111 => 10000000 => [1,7]
10000000 => 01111111 => [1,7]
10000001 => 01111110 => [1,6,1]
10000010 => 01111101 => [1,5,1,1]
10000011 => 01111100 => [1,5,2]
10000100 => 01111011 => [1,4,1,2]
10000101 => 01111010 => [1,4,1,1,1]
10000110 => 01111001 => [1,4,2,1]
10000111 => 01111000 => [1,4,3]
10001000 => 01110111 => [1,3,1,3]
10001001 => 01110110 => [1,3,1,2,1]
10001010 => 01110101 => [1,3,1,1,1,1]
10001011 => 01110100 => [1,3,1,1,2]
10001100 => 01110011 => [1,3,2,2]
10001101 => 01110010 => [1,3,2,1,1]
10001110 => 01110001 => [1,3,3,1]
10001111 => 01110000 => [1,3,4]
10010000 => 01101111 => [1,2,1,4]
10010001 => 01101110 => [1,2,1,3,1]
10010010 => 01101101 => [1,2,1,2,1,1]
10010011 => 01101100 => [1,2,1,2,2]
10010100 => 01101011 => [1,2,1,1,1,2]
10010101 => 01101010 => [1,2,1,1,1,1,1]
10010110 => 01101001 => [1,2,1,1,2,1]
10010111 => 01101000 => [1,2,1,1,3]
10011000 => 01100111 => [1,2,2,3]
10011001 => 01100110 => [1,2,2,2,1]
10011010 => 01100101 => [1,2,2,1,1,1]
10011011 => 01100100 => [1,2,2,1,2]
10011100 => 01100011 => [1,2,3,2]
10011101 => 01100010 => [1,2,3,1,1]
10011110 => 01100001 => [1,2,4,1]
10011111 => 01100000 => [1,2,5]
10100000 => 01011111 => [1,1,1,5]
10100001 => 01011110 => [1,1,1,4,1]
10100010 => 01011101 => [1,1,1,3,1,1]
10100011 => 01011100 => [1,1,1,3,2]
10100100 => 01011011 => [1,1,1,2,1,2]
10100101 => 01011010 => [1,1,1,2,1,1,1]
10100110 => 01011001 => [1,1,1,2,2,1]
10100111 => 01011000 => [1,1,1,2,3]
10101000 => 01010111 => [1,1,1,1,1,3]
10101001 => 01010110 => [1,1,1,1,1,2,1]
10101010 => 01010101 => [1,1,1,1,1,1,1,1]
10101011 => 01010100 => [1,1,1,1,1,1,2]
10101100 => 01010011 => [1,1,1,1,2,2]
10101101 => 01010010 => [1,1,1,1,2,1,1]
10101110 => 01010001 => [1,1,1,1,3,1]
10101111 => 01010000 => [1,1,1,1,4]
10110000 => 01001111 => [1,1,2,4]
10110001 => 01001110 => [1,1,2,3,1]
10110010 => 01001101 => [1,1,2,2,1,1]
10110011 => 01001100 => [1,1,2,2,2]
10110100 => 01001011 => [1,1,2,1,1,2]
10110101 => 01001010 => [1,1,2,1,1,1,1]
10110110 => 01001001 => [1,1,2,1,2,1]
10110111 => 01001000 => [1,1,2,1,3]
10111000 => 01000111 => [1,1,3,3]
10111001 => 01000110 => [1,1,3,2,1]
10111010 => 01000101 => [1,1,3,1,1,1]
10111011 => 01000100 => [1,1,3,1,2]
10111100 => 01000011 => [1,1,4,2]
10111101 => 01000010 => [1,1,4,1,1]
10111110 => 01000001 => [1,1,5,1]
10111111 => 01000000 => [1,1,6]
11000000 => 00111111 => [2,6]
11000001 => 00111110 => [2,5,1]
11000010 => 00111101 => [2,4,1,1]
11000011 => 00111100 => [2,4,2]
11000100 => 00111011 => [2,3,1,2]
11000101 => 00111010 => [2,3,1,1,1]
11000110 => 00111001 => [2,3,2,1]
11000111 => 00111000 => [2,3,3]
11001000 => 00110111 => [2,2,1,3]
11001001 => 00110110 => [2,2,1,2,1]
11001010 => 00110101 => [2,2,1,1,1,1]
11001011 => 00110100 => [2,2,1,1,2]
11001100 => 00110011 => [2,2,2,2]
11001101 => 00110010 => [2,2,2,1,1]
11001110 => 00110001 => [2,2,3,1]
11001111 => 00110000 => [2,2,4]
11010000 => 00101111 => [2,1,1,4]
11010001 => 00101110 => [2,1,1,3,1]
11010010 => 00101101 => [2,1,1,2,1,1]
11010011 => 00101100 => [2,1,1,2,2]
11010100 => 00101011 => [2,1,1,1,1,2]
11010101 => 00101010 => [2,1,1,1,1,1,1]
11010110 => 00101001 => [2,1,1,1,2,1]
11010111 => 00101000 => [2,1,1,1,3]
11011000 => 00100111 => [2,1,2,3]
11011001 => 00100110 => [2,1,2,2,1]
11011010 => 00100101 => [2,1,2,1,1,1]
11011011 => 00100100 => [2,1,2,1,2]
11011100 => 00100011 => [2,1,3,2]
11011101 => 00100010 => [2,1,3,1,1]
11011110 => 00100001 => [2,1,4,1]
11011111 => 00100000 => [2,1,5]
11100000 => 00011111 => [3,5]
11100001 => 00011110 => [3,4,1]
11100010 => 00011101 => [3,3,1,1]
11100011 => 00011100 => [3,3,2]
11100100 => 00011011 => [3,2,1,2]
11100101 => 00011010 => [3,2,1,1,1]
11100110 => 00011001 => [3,2,2,1]
11100111 => 00011000 => [3,2,3]
11101000 => 00010111 => [3,1,1,3]
11101001 => 00010110 => [3,1,1,2,1]
11101010 => 00010101 => [3,1,1,1,1,1]
11101011 => 00010100 => [3,1,1,1,2]
11101100 => 00010011 => [3,1,2,2]
11101101 => 00010010 => [3,1,2,1,1]
11101110 => 00010001 => [3,1,3,1]
11101111 => 00010000 => [3,1,4]
11110000 => 00001111 => [4,4]
11110001 => 00001110 => [4,3,1]
11110010 => 00001101 => [4,2,1,1]
11110011 => 00001100 => [4,2,2]
11110100 => 00001011 => [4,1,1,2]
11110101 => 00001010 => [4,1,1,1,1]
11110110 => 00001001 => [4,1,2,1]
11110111 => 00001000 => [4,1,3]
11111000 => 00000111 => [5,3]
11111001 => 00000110 => [5,2,1]
11111010 => 00000101 => [5,1,1,1]
11111011 => 00000100 => [5,1,2]
11111100 => 00000011 => [6,2]
11111101 => 00000010 => [6,1,1]
11111110 => 00000001 => [7,1]
11111111 => 00000000 => [8]
000000000 => 111111111 => [9]
000000001 => 111111110 => [8,1]
000000010 => 111111101 => [7,1,1]
000000011 => 111111100 => [7,2]
000000100 => 111111011 => [6,1,2]
000000101 => 111111010 => [6,1,1,1]
000000110 => 111111001 => [6,2,1]
000000111 => 111111000 => [6,3]
000001000 => 111110111 => [5,1,3]
000001001 => 111110110 => [5,1,2,1]
000001010 => 111110101 => [5,1,1,1,1]
000001011 => 111110100 => [5,1,1,2]
000001100 => 111110011 => [5,2,2]
000001101 => 111110010 => [5,2,1,1]
000001110 => 111110001 => [5,3,1]
000001111 => 111110000 => [5,4]
000010000 => 111101111 => [4,1,4]
000010001 => 111101110 => [4,1,3,1]
000010010 => 111101101 => [4,1,2,1,1]
000010011 => 111101100 => [4,1,2,2]
000010100 => 111101011 => [4,1,1,1,2]
000010101 => 111101010 => [4,1,1,1,1,1]
000010110 => 111101001 => [4,1,1,2,1]
000010111 => 111101000 => [4,1,1,3]
000011000 => 111100111 => [4,2,3]
000011001 => 111100110 => [4,2,2,1]
000011010 => 111100101 => [4,2,1,1,1]
000011011 => 111100100 => [4,2,1,2]
000011100 => 111100011 => [4,3,2]
000011101 => 111100010 => [4,3,1,1]
000011110 => 111100001 => [4,4,1]
000011111 => 111100000 => [4,5]
000100000 => 111011111 => [3,1,5]
000100001 => 111011110 => [3,1,4,1]
000100010 => 111011101 => [3,1,3,1,1]
000100011 => 111011100 => [3,1,3,2]
000100100 => 111011011 => [3,1,2,1,2]
000100101 => 111011010 => [3,1,2,1,1,1]
000100110 => 111011001 => [3,1,2,2,1]
000100111 => 111011000 => [3,1,2,3]
000101000 => 111010111 => [3,1,1,1,3]
000101001 => 111010110 => [3,1,1,1,2,1]
000101010 => 111010101 => [3,1,1,1,1,1,1]
000101011 => 111010100 => [3,1,1,1,1,2]
000101100 => 111010011 => [3,1,1,2,2]
000101101 => 111010010 => [3,1,1,2,1,1]
000101110 => 111010001 => [3,1,1,3,1]
000101111 => 111010000 => [3,1,1,4]
000110000 => 111001111 => [3,2,4]
000110001 => 111001110 => [3,2,3,1]
000110010 => 111001101 => [3,2,2,1,1]
000110011 => 111001100 => [3,2,2,2]
000110100 => 111001011 => [3,2,1,1,2]
000110101 => 111001010 => [3,2,1,1,1,1]
000110110 => 111001001 => [3,2,1,2,1]
000110111 => 111001000 => [3,2,1,3]
000111000 => 111000111 => [3,3,3]
000111001 => 111000110 => [3,3,2,1]
000111010 => 111000101 => [3,3,1,1,1]
000111011 => 111000100 => [3,3,1,2]
000111100 => 111000011 => [3,4,2]
000111101 => 111000010 => [3,4,1,1]
000111110 => 111000001 => [3,5,1]
000111111 => 111000000 => [3,6]
001000000 => 110111111 => [2,1,6]
001000001 => 110111110 => [2,1,5,1]
001000010 => 110111101 => [2,1,4,1,1]
001000011 => 110111100 => [2,1,4,2]
001000100 => 110111011 => [2,1,3,1,2]
001000101 => 110111010 => [2,1,3,1,1,1]
001000110 => 110111001 => [2,1,3,2,1]
001000111 => 110111000 => [2,1,3,3]
001001000 => 110110111 => [2,1,2,1,3]
001001001 => 110110110 => [2,1,2,1,2,1]
001001010 => 110110101 => [2,1,2,1,1,1,1]
001001011 => 110110100 => [2,1,2,1,1,2]
001001100 => 110110011 => [2,1,2,2,2]
001001101 => 110110010 => [2,1,2,2,1,1]
001001110 => 110110001 => [2,1,2,3,1]
001001111 => 110110000 => [2,1,2,4]
001010000 => 110101111 => [2,1,1,1,4]
001010001 => 110101110 => [2,1,1,1,3,1]
001010010 => 110101101 => [2,1,1,1,2,1,1]
001010011 => 110101100 => [2,1,1,1,2,2]
001010100 => 110101011 => [2,1,1,1,1,1,2]
001010101 => 110101010 => [2,1,1,1,1,1,1,1]
001010110 => 110101001 => [2,1,1,1,1,2,1]
001010111 => 110101000 => [2,1,1,1,1,3]
001011000 => 110100111 => [2,1,1,2,3]
001011001 => 110100110 => [2,1,1,2,2,1]
001011010 => 110100101 => [2,1,1,2,1,1,1]
001011011 => 110100100 => [2,1,1,2,1,2]
001011100 => 110100011 => [2,1,1,3,2]
001011101 => 110100010 => [2,1,1,3,1,1]
001011110 => 110100001 => [2,1,1,4,1]
001011111 => 110100000 => [2,1,1,5]
001100000 => 110011111 => [2,2,5]
001100001 => 110011110 => [2,2,4,1]
001100010 => 110011101 => [2,2,3,1,1]
001100011 => 110011100 => [2,2,3,2]
001100100 => 110011011 => [2,2,2,1,2]
001100101 => 110011010 => [2,2,2,1,1,1]
001100110 => 110011001 => [2,2,2,2,1]
001100111 => 110011000 => [2,2,2,3]
001101000 => 110010111 => [2,2,1,1,3]
001101001 => 110010110 => [2,2,1,1,2,1]
001101010 => 110010101 => [2,2,1,1,1,1,1]
001101011 => 110010100 => [2,2,1,1,1,2]
001101100 => 110010011 => [2,2,1,2,2]
001101101 => 110010010 => [2,2,1,2,1,1]
001101110 => 110010001 => [2,2,1,3,1]
001101111 => 110010000 => [2,2,1,4]
001110000 => 110001111 => [2,3,4]
001110001 => 110001110 => [2,3,3,1]
001110010 => 110001101 => [2,3,2,1,1]
001110011 => 110001100 => [2,3,2,2]
001110100 => 110001011 => [2,3,1,1,2]
001110101 => 110001010 => [2,3,1,1,1,1]
001110110 => 110001001 => [2,3,1,2,1]
001110111 => 110001000 => [2,3,1,3]
001111000 => 110000111 => [2,4,3]
001111001 => 110000110 => [2,4,2,1]
001111010 => 110000101 => [2,4,1,1,1]
001111011 => 110000100 => [2,4,1,2]
001111100 => 110000011 => [2,5,2]
001111101 => 110000010 => [2,5,1,1]
001111110 => 110000001 => [2,6,1]
001111111 => 110000000 => [2,7]
010000000 => 101111111 => [1,1,7]
010000001 => 101111110 => [1,1,6,1]
010000010 => 101111101 => [1,1,5,1,1]
010000011 => 101111100 => [1,1,5,2]
010000100 => 101111011 => [1,1,4,1,2]
010000101 => 101111010 => [1,1,4,1,1,1]
010000110 => 101111001 => [1,1,4,2,1]
010000111 => 101111000 => [1,1,4,3]
010001000 => 101110111 => [1,1,3,1,3]
010001001 => 101110110 => [1,1,3,1,2,1]
010001010 => 101110101 => [1,1,3,1,1,1,1]
010001011 => 101110100 => [1,1,3,1,1,2]
010001100 => 101110011 => [1,1,3,2,2]
010001101 => 101110010 => [1,1,3,2,1,1]
010001110 => 101110001 => [1,1,3,3,1]
010001111 => 101110000 => [1,1,3,4]
010010000 => 101101111 => [1,1,2,1,4]
010010001 => 101101110 => [1,1,2,1,3,1]
010010010 => 101101101 => [1,1,2,1,2,1,1]
010010011 => 101101100 => [1,1,2,1,2,2]
010010100 => 101101011 => [1,1,2,1,1,1,2]
010010101 => 101101010 => [1,1,2,1,1,1,1,1]
010010110 => 101101001 => [1,1,2,1,1,2,1]
010010111 => 101101000 => [1,1,2,1,1,3]
010011000 => 101100111 => [1,1,2,2,3]
010011001 => 101100110 => [1,1,2,2,2,1]
010011010 => 101100101 => [1,1,2,2,1,1,1]
010011011 => 101100100 => [1,1,2,2,1,2]
010011100 => 101100011 => [1,1,2,3,2]
010011101 => 101100010 => [1,1,2,3,1,1]
010011110 => 101100001 => [1,1,2,4,1]
010011111 => 101100000 => [1,1,2,5]
010100000 => 101011111 => [1,1,1,1,5]
010100001 => 101011110 => [1,1,1,1,4,1]
010100010 => 101011101 => [1,1,1,1,3,1,1]
010100011 => 101011100 => [1,1,1,1,3,2]
010100100 => 101011011 => [1,1,1,1,2,1,2]
010100101 => 101011010 => [1,1,1,1,2,1,1,1]
010100110 => 101011001 => [1,1,1,1,2,2,1]
010100111 => 101011000 => [1,1,1,1,2,3]
010101000 => 101010111 => [1,1,1,1,1,1,3]
010101001 => 101010110 => [1,1,1,1,1,1,2,1]
010101010 => 101010101 => [1,1,1,1,1,1,1,1,1]
010101011 => 101010100 => [1,1,1,1,1,1,1,2]
010101100 => 101010011 => [1,1,1,1,1,2,2]
010101101 => 101010010 => [1,1,1,1,1,2,1,1]
010101110 => 101010001 => [1,1,1,1,1,3,1]
010101111 => 101010000 => [1,1,1,1,1,4]
010110000 => 101001111 => [1,1,1,2,4]
010110001 => 101001110 => [1,1,1,2,3,1]
010110010 => 101001101 => [1,1,1,2,2,1,1]
010110011 => 101001100 => [1,1,1,2,2,2]
010110100 => 101001011 => [1,1,1,2,1,1,2]
010110101 => 101001010 => [1,1,1,2,1,1,1,1]
010110110 => 101001001 => [1,1,1,2,1,2,1]
010110111 => 101001000 => [1,1,1,2,1,3]
010111000 => 101000111 => [1,1,1,3,3]
010111001 => 101000110 => [1,1,1,3,2,1]
010111010 => 101000101 => [1,1,1,3,1,1,1]
010111011 => 101000100 => [1,1,1,3,1,2]
010111100 => 101000011 => [1,1,1,4,2]
010111101 => 101000010 => [1,1,1,4,1,1]
010111110 => 101000001 => [1,1,1,5,1]
010111111 => 101000000 => [1,1,1,6]
011000000 => 100111111 => [1,2,6]
011000001 => 100111110 => [1,2,5,1]
011000010 => 100111101 => [1,2,4,1,1]
011000011 => 100111100 => [1,2,4,2]
011000100 => 100111011 => [1,2,3,1,2]
011000101 => 100111010 => [1,2,3,1,1,1]
011000110 => 100111001 => [1,2,3,2,1]
011000111 => 100111000 => [1,2,3,3]
011001000 => 100110111 => [1,2,2,1,3]
011001001 => 100110110 => [1,2,2,1,2,1]
011001010 => 100110101 => [1,2,2,1,1,1,1]
011001011 => 100110100 => [1,2,2,1,1,2]
011001100 => 100110011 => [1,2,2,2,2]
011001101 => 100110010 => [1,2,2,2,1,1]
011001110 => 100110001 => [1,2,2,3,1]
011001111 => 100110000 => [1,2,2,4]
011010000 => 100101111 => [1,2,1,1,4]
011010001 => 100101110 => [1,2,1,1,3,1]
011010010 => 100101101 => [1,2,1,1,2,1,1]
011010011 => 100101100 => [1,2,1,1,2,2]
011010100 => 100101011 => [1,2,1,1,1,1,2]
011010101 => 100101010 => [1,2,1,1,1,1,1,1]
011010110 => 100101001 => [1,2,1,1,1,2,1]
011010111 => 100101000 => [1,2,1,1,1,3]
011011000 => 100100111 => [1,2,1,2,3]
011011001 => 100100110 => [1,2,1,2,2,1]
011011010 => 100100101 => [1,2,1,2,1,1,1]
011011011 => 100100100 => [1,2,1,2,1,2]
011011100 => 100100011 => [1,2,1,3,2]
011011101 => 100100010 => [1,2,1,3,1,1]
011011110 => 100100001 => [1,2,1,4,1]
011011111 => 100100000 => [1,2,1,5]
011100000 => 100011111 => [1,3,5]
011100001 => 100011110 => [1,3,4,1]
011100010 => 100011101 => [1,3,3,1,1]
011100011 => 100011100 => [1,3,3,2]
011100100 => 100011011 => [1,3,2,1,2]
011100101 => 100011010 => [1,3,2,1,1,1]
011100110 => 100011001 => [1,3,2,2,1]
011100111 => 100011000 => [1,3,2,3]
011101000 => 100010111 => [1,3,1,1,3]
011101001 => 100010110 => [1,3,1,1,2,1]
011101010 => 100010101 => [1,3,1,1,1,1,1]
011101011 => 100010100 => [1,3,1,1,1,2]
011101100 => 100010011 => [1,3,1,2,2]
011101101 => 100010010 => [1,3,1,2,1,1]
011101110 => 100010001 => [1,3,1,3,1]
011101111 => 100010000 => [1,3,1,4]
011110000 => 100001111 => [1,4,4]
011110001 => 100001110 => [1,4,3,1]
011110010 => 100001101 => [1,4,2,1,1]
011110011 => 100001100 => [1,4,2,2]
011110100 => 100001011 => [1,4,1,1,2]
011110101 => 100001010 => [1,4,1,1,1,1]
011110110 => 100001001 => [1,4,1,2,1]
011110111 => 100001000 => [1,4,1,3]
011111000 => 100000111 => [1,5,3]
011111001 => 100000110 => [1,5,2,1]
011111010 => 100000101 => [1,5,1,1,1]
011111011 => 100000100 => [1,5,1,2]
011111100 => 100000011 => [1,6,2]
011111101 => 100000010 => [1,6,1,1]
011111110 => 100000001 => [1,7,1]
011111111 => 100000000 => [1,8]
100000000 => 011111111 => [1,8]
100000001 => 011111110 => [1,7,1]
100000010 => 011111101 => [1,6,1,1]
100000011 => 011111100 => [1,6,2]
100000100 => 011111011 => [1,5,1,2]
100000101 => 011111010 => [1,5,1,1,1]
100000110 => 011111001 => [1,5,2,1]
100000111 => 011111000 => [1,5,3]
100001000 => 011110111 => [1,4,1,3]
100001001 => 011110110 => [1,4,1,2,1]
100001010 => 011110101 => [1,4,1,1,1,1]
100001011 => 011110100 => [1,4,1,1,2]
100001100 => 011110011 => [1,4,2,2]
100001101 => 011110010 => [1,4,2,1,1]
100001110 => 011110001 => [1,4,3,1]
100001111 => 011110000 => [1,4,4]
100010000 => 011101111 => [1,3,1,4]
100010001 => 011101110 => [1,3,1,3,1]
100010010 => 011101101 => [1,3,1,2,1,1]
100010011 => 011101100 => [1,3,1,2,2]
100010100 => 011101011 => [1,3,1,1,1,2]
100010101 => 011101010 => [1,3,1,1,1,1,1]
100010110 => 011101001 => [1,3,1,1,2,1]
100010111 => 011101000 => [1,3,1,1,3]
100011000 => 011100111 => [1,3,2,3]
100011001 => 011100110 => [1,3,2,2,1]
100011010 => 011100101 => [1,3,2,1,1,1]
100011011 => 011100100 => [1,3,2,1,2]
100011100 => 011100011 => [1,3,3,2]
100011101 => 011100010 => [1,3,3,1,1]
100011110 => 011100001 => [1,3,4,1]
100011111 => 011100000 => [1,3,5]
100100000 => 011011111 => [1,2,1,5]
100100001 => 011011110 => [1,2,1,4,1]
100100010 => 011011101 => [1,2,1,3,1,1]
100100011 => 011011100 => [1,2,1,3,2]
100100100 => 011011011 => [1,2,1,2,1,2]
100100101 => 011011010 => [1,2,1,2,1,1,1]
100100110 => 011011001 => [1,2,1,2,2,1]
100100111 => 011011000 => [1,2,1,2,3]
100101000 => 011010111 => [1,2,1,1,1,3]
100101001 => 011010110 => [1,2,1,1,1,2,1]
100101010 => 011010101 => [1,2,1,1,1,1,1,1]
100101011 => 011010100 => [1,2,1,1,1,1,2]
100101100 => 011010011 => [1,2,1,1,2,2]
100101101 => 011010010 => [1,2,1,1,2,1,1]
100101110 => 011010001 => [1,2,1,1,3,1]
100101111 => 011010000 => [1,2,1,1,4]
100110000 => 011001111 => [1,2,2,4]
100110001 => 011001110 => [1,2,2,3,1]
100110010 => 011001101 => [1,2,2,2,1,1]
100110011 => 011001100 => [1,2,2,2,2]
100110100 => 011001011 => [1,2,2,1,1,2]
100110101 => 011001010 => [1,2,2,1,1,1,1]
100110110 => 011001001 => [1,2,2,1,2,1]
100110111 => 011001000 => [1,2,2,1,3]
100111000 => 011000111 => [1,2,3,3]
100111001 => 011000110 => [1,2,3,2,1]
100111010 => 011000101 => [1,2,3,1,1,1]
100111011 => 011000100 => [1,2,3,1,2]
100111100 => 011000011 => [1,2,4,2]
100111101 => 011000010 => [1,2,4,1,1]
100111110 => 011000001 => [1,2,5,1]
100111111 => 011000000 => [1,2,6]
101000000 => 010111111 => [1,1,1,6]
101000001 => 010111110 => [1,1,1,5,1]
101000010 => 010111101 => [1,1,1,4,1,1]
101000011 => 010111100 => [1,1,1,4,2]
101000100 => 010111011 => [1,1,1,3,1,2]
101000101 => 010111010 => [1,1,1,3,1,1,1]
101000110 => 010111001 => [1,1,1,3,2,1]
101000111 => 010111000 => [1,1,1,3,3]
101001000 => 010110111 => [1,1,1,2,1,3]
101001001 => 010110110 => [1,1,1,2,1,2,1]
101001010 => 010110101 => [1,1,1,2,1,1,1,1]
101001011 => 010110100 => [1,1,1,2,1,1,2]
101001100 => 010110011 => [1,1,1,2,2,2]
101001101 => 010110010 => [1,1,1,2,2,1,1]
101001110 => 010110001 => [1,1,1,2,3,1]
101001111 => 010110000 => [1,1,1,2,4]
101010000 => 010101111 => [1,1,1,1,1,4]
101010001 => 010101110 => [1,1,1,1,1,3,1]
101010010 => 010101101 => [1,1,1,1,1,2,1,1]
101010011 => 010101100 => [1,1,1,1,1,2,2]
101010100 => 010101011 => [1,1,1,1,1,1,1,2]
101010101 => 010101010 => [1,1,1,1,1,1,1,1,1]
101010110 => 010101001 => [1,1,1,1,1,1,2,1]
101010111 => 010101000 => [1,1,1,1,1,1,3]
101011000 => 010100111 => [1,1,1,1,2,3]
101011001 => 010100110 => [1,1,1,1,2,2,1]
101011010 => 010100101 => [1,1,1,1,2,1,1,1]
101011011 => 010100100 => [1,1,1,1,2,1,2]
101011100 => 010100011 => [1,1,1,1,3,2]
101011101 => 010100010 => [1,1,1,1,3,1,1]
101011110 => 010100001 => [1,1,1,1,4,1]
101011111 => 010100000 => [1,1,1,1,5]
101100000 => 010011111 => [1,1,2,5]
101100001 => 010011110 => [1,1,2,4,1]
101100010 => 010011101 => [1,1,2,3,1,1]
101100011 => 010011100 => [1,1,2,3,2]
101100100 => 010011011 => [1,1,2,2,1,2]
101100101 => 010011010 => [1,1,2,2,1,1,1]
101100110 => 010011001 => [1,1,2,2,2,1]
101100111 => 010011000 => [1,1,2,2,3]
101101000 => 010010111 => [1,1,2,1,1,3]
101101001 => 010010110 => [1,1,2,1,1,2,1]
101101010 => 010010101 => [1,1,2,1,1,1,1,1]
101101011 => 010010100 => [1,1,2,1,1,1,2]
101101100 => 010010011 => [1,1,2,1,2,2]
101101101 => 010010010 => [1,1,2,1,2,1,1]
101101110 => 010010001 => [1,1,2,1,3,1]
101101111 => 010010000 => [1,1,2,1,4]
101110000 => 010001111 => [1,1,3,4]
101110001 => 010001110 => [1,1,3,3,1]
101110010 => 010001101 => [1,1,3,2,1,1]
101110011 => 010001100 => [1,1,3,2,2]
101110100 => 010001011 => [1,1,3,1,1,2]
101110101 => 010001010 => [1,1,3,1,1,1,1]
101110110 => 010001001 => [1,1,3,1,2,1]
101110111 => 010001000 => [1,1,3,1,3]
101111000 => 010000111 => [1,1,4,3]
101111001 => 010000110 => [1,1,4,2,1]
101111010 => 010000101 => [1,1,4,1,1,1]
101111011 => 010000100 => [1,1,4,1,2]
101111100 => 010000011 => [1,1,5,2]
101111101 => 010000010 => [1,1,5,1,1]
101111110 => 010000001 => [1,1,6,1]
101111111 => 010000000 => [1,1,7]
110000000 => 001111111 => [2,7]
110000001 => 001111110 => [2,6,1]
110000010 => 001111101 => [2,5,1,1]
110000011 => 001111100 => [2,5,2]
110000100 => 001111011 => [2,4,1,2]
110000101 => 001111010 => [2,4,1,1,1]
110000110 => 001111001 => [2,4,2,1]
110000111 => 001111000 => [2,4,3]
110001000 => 001110111 => [2,3,1,3]
110001001 => 001110110 => [2,3,1,2,1]
110001010 => 001110101 => [2,3,1,1,1,1]
110001011 => 001110100 => [2,3,1,1,2]
110001100 => 001110011 => [2,3,2,2]
110001101 => 001110010 => [2,3,2,1,1]
110001110 => 001110001 => [2,3,3,1]
110001111 => 001110000 => [2,3,4]
110010000 => 001101111 => [2,2,1,4]
110010001 => 001101110 => [2,2,1,3,1]
110010010 => 001101101 => [2,2,1,2,1,1]
110010011 => 001101100 => [2,2,1,2,2]
110010100 => 001101011 => [2,2,1,1,1,2]
110010101 => 001101010 => [2,2,1,1,1,1,1]
110010110 => 001101001 => [2,2,1,1,2,1]
110010111 => 001101000 => [2,2,1,1,3]
110011000 => 001100111 => [2,2,2,3]
110011001 => 001100110 => [2,2,2,2,1]
110011010 => 001100101 => [2,2,2,1,1,1]
110011011 => 001100100 => [2,2,2,1,2]
110011100 => 001100011 => [2,2,3,2]
110011101 => 001100010 => [2,2,3,1,1]
110011110 => 001100001 => [2,2,4,1]
110011111 => 001100000 => [2,2,5]
110100000 => 001011111 => [2,1,1,5]
110100001 => 001011110 => [2,1,1,4,1]
110100010 => 001011101 => [2,1,1,3,1,1]
110100011 => 001011100 => [2,1,1,3,2]
110100100 => 001011011 => [2,1,1,2,1,2]
110100101 => 001011010 => [2,1,1,2,1,1,1]
110100110 => 001011001 => [2,1,1,2,2,1]
110100111 => 001011000 => [2,1,1,2,3]
110101000 => 001010111 => [2,1,1,1,1,3]
110101001 => 001010110 => [2,1,1,1,1,2,1]
110101010 => 001010101 => [2,1,1,1,1,1,1,1]
110101011 => 001010100 => [2,1,1,1,1,1,2]
110101100 => 001010011 => [2,1,1,1,2,2]
110101101 => 001010010 => [2,1,1,1,2,1,1]
110101110 => 001010001 => [2,1,1,1,3,1]
110101111 => 001010000 => [2,1,1,1,4]
110110000 => 001001111 => [2,1,2,4]
110110001 => 001001110 => [2,1,2,3,1]
110110010 => 001001101 => [2,1,2,2,1,1]
110110011 => 001001100 => [2,1,2,2,2]
110110100 => 001001011 => [2,1,2,1,1,2]
110110101 => 001001010 => [2,1,2,1,1,1,1]
110110110 => 001001001 => [2,1,2,1,2,1]
110110111 => 001001000 => [2,1,2,1,3]
110111000 => 001000111 => [2,1,3,3]
110111001 => 001000110 => [2,1,3,2,1]
110111010 => 001000101 => [2,1,3,1,1,1]
110111011 => 001000100 => [2,1,3,1,2]
110111100 => 001000011 => [2,1,4,2]
110111101 => 001000010 => [2,1,4,1,1]
110111110 => 001000001 => [2,1,5,1]
110111111 => 001000000 => [2,1,6]
111000000 => 000111111 => [3,6]
111000001 => 000111110 => [3,5,1]
111000010 => 000111101 => [3,4,1,1]
111000011 => 000111100 => [3,4,2]
111000100 => 000111011 => [3,3,1,2]
111000101 => 000111010 => [3,3,1,1,1]
111000110 => 000111001 => [3,3,2,1]
111000111 => 000111000 => [3,3,3]
111001000 => 000110111 => [3,2,1,3]
111001001 => 000110110 => [3,2,1,2,1]
111001010 => 000110101 => [3,2,1,1,1,1]
111001011 => 000110100 => [3,2,1,1,2]
111001100 => 000110011 => [3,2,2,2]
111001101 => 000110010 => [3,2,2,1,1]
111001110 => 000110001 => [3,2,3,1]
111001111 => 000110000 => [3,2,4]
111010000 => 000101111 => [3,1,1,4]
111010001 => 000101110 => [3,1,1,3,1]
111010010 => 000101101 => [3,1,1,2,1,1]
111010011 => 000101100 => [3,1,1,2,2]
111010100 => 000101011 => [3,1,1,1,1,2]
111010101 => 000101010 => [3,1,1,1,1,1,1]
111010110 => 000101001 => [3,1,1,1,2,1]
111010111 => 000101000 => [3,1,1,1,3]
111011000 => 000100111 => [3,1,2,3]
111011001 => 000100110 => [3,1,2,2,1]
111011010 => 000100101 => [3,1,2,1,1,1]
111011011 => 000100100 => [3,1,2,1,2]
111011100 => 000100011 => [3,1,3,2]
111011101 => 000100010 => [3,1,3,1,1]
111011110 => 000100001 => [3,1,4,1]
111011111 => 000100000 => [3,1,5]
111100000 => 000011111 => [4,5]
111100001 => 000011110 => [4,4,1]
111100010 => 000011101 => [4,3,1,1]
111100011 => 000011100 => [4,3,2]
111100100 => 000011011 => [4,2,1,2]
111100101 => 000011010 => [4,2,1,1,1]
111100110 => 000011001 => [4,2,2,1]
111100111 => 000011000 => [4,2,3]
111101000 => 000010111 => [4,1,1,3]
111101001 => 000010110 => [4,1,1,2,1]
111101010 => 000010101 => [4,1,1,1,1,1]
111101011 => 000010100 => [4,1,1,1,2]
111101100 => 000010011 => [4,1,2,2]
111101101 => 000010010 => [4,1,2,1,1]
111101110 => 000010001 => [4,1,3,1]
111101111 => 000010000 => [4,1,4]
111110000 => 000001111 => [5,4]
111110001 => 000001110 => [5,3,1]
111110010 => 000001101 => [5,2,1,1]
111110011 => 000001100 => [5,2,2]
111110100 => 000001011 => [5,1,1,2]
111110101 => 000001010 => [5,1,1,1,1]
111110110 => 000001001 => [5,1,2,1]
111110111 => 000001000 => [5,1,3]
111111000 => 000000111 => [6,3]
111111001 => 000000110 => [6,2,1]
111111010 => 000000101 => [6,1,1,1]
111111011 => 000000100 => [6,1,2]
111111100 => 000000011 => [7,2]
111111101 => 000000010 => [7,1,1]
111111110 => 000000001 => [8,1]
111111111 => 000000000 => [9]
1010101010 => 0101010101 => [1,1,1,1,1,1,1,1,1,1]
1010110100 => 0101001011 => [1,1,1,1,2,1,1,2]
1010111000 => 0101000111 => [1,1,1,1,3,3]
1011001100 => 0100110011 => [1,1,2,2,2,2]
1011011000 => 0100100111 => [1,1,2,1,2,3]
1011100100 => 0100011011 => [1,1,3,2,1,2]
1011101000 => 0100010111 => [1,1,3,1,1,3]
1011110000 => 0100001111 => [1,1,4,4]
1100101100 => 0011010011 => [2,2,1,1,2,2]
1100111000 => 0011000111 => [2,2,3,3]
1101010100 => 0010101011 => [2,1,1,1,1,1,1,2]
1101101000 => 0010010111 => [2,1,2,1,1,3]
1101110000 => 0010001111 => [2,1,3,4]
1110001100 => 0001110011 => [3,3,2,2]
1110010100 => 0001101011 => [3,2,1,1,1,2]
1110011000 => 0001100111 => [3,2,2,3]
1110100010 => 0001011101 => [3,1,1,3,1,1]
1110101000 => 0001010111 => [3,1,1,1,1,3]
1110110000 => 0001001111 => [3,1,2,4]
1111000010 => 0000111101 => [4,4,1,1]
1111001000 => 0000110111 => [4,2,1,3]
1111010000 => 0000101111 => [4,1,1,4]
1111100000 => 0000011111 => [5,5]
101010101010 => 010101010101 => [1,1,1,1,1,1,1,1,1,1,1,1]
101010110100 => 010101001011 => [1,1,1,1,1,1,2,1,1,2]
101011010100 => 010100101011 => [1,1,1,1,2,1,1,1,1,2]
101011011000 => 010100100111 => [1,1,1,1,2,1,2,3]
101011100100 => 010100011011 => [1,1,1,1,3,2,1,2]
101011101000 => 010100010111 => [1,1,1,1,3,1,1,3]
101011110000 => 010100001111 => [1,1,1,1,4,4]
101100101010 => 010011010101 => [1,1,2,2,1,1,1,1,1,1]
101100101100 => 010011010011 => [1,1,2,2,1,1,2,2]
101100110100 => 010011001011 => [1,1,2,2,2,1,1,2]
101100111000 => 010011000111 => [1,1,2,2,3,3]
101101001010 => 010010110101 => [1,1,2,1,1,2,1,1,1,1]
101101001100 => 010010110011 => [1,1,2,1,1,2,2,2]
101101010100 => 010010101011 => [1,1,2,1,1,1,1,1,1,2]
101101100100 => 010010011011 => [1,1,2,1,2,2,1,2]
101101101000 => 010010010111 => [1,1,2,1,2,1,1,3]
101101110000 => 010010001111 => [1,1,2,1,3,4]
101110001010 => 010001110101 => [1,1,3,3,1,1,1,1]
101110010100 => 010001101011 => [1,1,3,2,1,1,1,2]
101110100010 => 010001011101 => [1,1,3,1,1,3,1,1]
101110100100 => 010001011011 => [1,1,3,1,1,2,1,2]
101110101000 => 010001010111 => [1,1,3,1,1,1,1,3]
101111000100 => 010000111011 => [1,1,4,3,1,2]
101111001000 => 010000110111 => [1,1,4,2,1,3]
101111010000 => 010000101111 => [1,1,4,1,1,4]
101111100000 => 010000011111 => [1,1,5,5]
110010101010 => 001101010101 => [2,2,1,1,1,1,1,1,1,1]
110010110100 => 001101001011 => [2,2,1,1,2,1,1,2]
110011001100 => 001100110011 => [2,2,2,2,2,2]
110011011000 => 001100100111 => [2,2,2,1,2,3]
110011100100 => 001100011011 => [2,2,3,2,1,2]
110011101000 => 001100010111 => [2,2,3,1,1,3]
110011110000 => 001100001111 => [2,2,4,4]
110100101010 => 001011010101 => [2,1,1,2,1,1,1,1,1,1]
110100110010 => 001011001101 => [2,1,1,2,2,2,1,1]
110100111000 => 001011000111 => [2,1,1,2,3,3]
110101010100 => 001010101011 => [2,1,1,1,1,1,1,1,1,2]
110101101000 => 001010010111 => [2,1,1,1,2,1,1,3]
110101110000 => 001010001111 => [2,1,1,1,3,4]
110110001010 => 001001110101 => [2,1,2,3,1,1,1,1]
110110100010 => 001001011101 => [2,1,2,1,1,3,1,1]
110110101000 => 001001010111 => [2,1,2,1,1,1,1,3]
110111001000 => 001000110111 => [2,1,3,2,1,3]
110111010000 => 001000101111 => [2,1,3,1,1,4]
110111100000 => 001000011111 => [2,1,4,5]
111000101010 => 000111010101 => [3,3,1,1,1,1,1,1]
111000101100 => 000111010011 => [3,3,1,1,2,2]
111000110100 => 000111001011 => [3,3,2,1,1,2]
111000111000 => 000111000111 => [3,3,3,3]
111001001010 => 000110110101 => [3,2,1,2,1,1,1,1]
111001001100 => 000110110011 => [3,2,1,2,2,2]
111001010100 => 000110101011 => [3,2,1,1,1,1,1,2]
111001100100 => 000110011011 => [3,2,2,2,1,2]
111001101000 => 000110010111 => [3,2,2,1,1,3]
111001110000 => 000110001111 => [3,2,3,4]
111010001010 => 000101110101 => [3,1,1,3,1,1,1,1]
111010010100 => 000101101011 => [3,1,1,2,1,1,1,2]
111010100010 => 000101011101 => [3,1,1,1,1,3,1,1]
111010100100 => 000101011011 => [3,1,1,1,1,2,1,2]
111010101000 => 000101010111 => [3,1,1,1,1,1,1,3]
111011000100 => 000100111011 => [3,1,2,3,1,2]
111011001000 => 000100110111 => [3,1,2,2,1,3]
111011010000 => 000100101111 => [3,1,2,1,1,4]
111011100000 => 000100011111 => [3,1,3,5]
111100001010 => 000011110101 => [4,4,1,1,1,1]
111100001100 => 000011110011 => [4,4,2,2]
111100100010 => 000011011101 => [4,2,1,3,1,1]
111100100100 => 000011011011 => [4,2,1,2,1,2]
111100101000 => 000011010111 => [4,2,1,1,1,3]
111100110000 => 000011001111 => [4,2,2,4]
111101001000 => 000010110111 => [4,1,1,2,1,3]
111101010000 => 000010101111 => [4,1,1,1,1,4]
111101100000 => 000010011111 => [4,1,2,5]
111110000010 => 000001111101 => [5,5,1,1]
111110000100 => 000001111011 => [5,4,1,2]
111110001000 => 000001110111 => [5,3,1,3]
111110010000 => 000001101111 => [5,2,1,4]
111110100000 => 000001011111 => [5,1,1,5]
111111000000 => 000000111111 => [6,6]
1111111111 => 0000000000 => [10]
1111111110 => 0000000001 => [9,1]
1111111101 => 0000000010 => [8,1,1]
1111111100 => 0000000011 => [8,2]
1111111011 => 0000000100 => [7,1,2]
1111111010 => 0000000101 => [7,1,1,1]
1111111001 => 0000000110 => [7,2,1]
1111111000 => 0000000111 => [7,3]
1111110110 => 0000001001 => [6,1,2,1]
1111110101 => 0000001010 => [6,1,1,1,1]
1111110100 => 0000001011 => [6,1,1,2]
1111110011 => 0000001100 => [6,2,2]
1111110010 => 0000001101 => [6,2,1,1]
1111110001 => 0000001110 => [6,3,1]
1111110000 => 0000001111 => [6,4]
1111101110 => 0000010001 => [5,1,3,1]
1111101011 => 0000010100 => [5,1,1,1,2]
1111101010 => 0000010101 => [5,1,1,1,1,1]
1111101001 => 0000010110 => [5,1,1,2,1]
1111101000 => 0000010111 => [5,1,1,3]
1111100111 => 0000011000 => [5,2,3]
1111100100 => 0000011011 => [5,2,1,2]
1111100010 => 0000011101 => [5,3,1,1]
1111100001 => 0000011110 => [5,4,1]
1111010010 => 0000101101 => [4,1,1,2,1,1]
1111010001 => 0000101110 => [4,1,1,3,1]
1111001110 => 0000110001 => [4,2,3,1]
1111001100 => 0000110011 => [4,2,2,2]
1111001011 => 0000110100 => [4,2,1,1,2]
1111001010 => 0000110101 => [4,2,1,1,1,1]
1111000001 => 0000111110 => [4,5,1]
1111000000 => 0000111111 => [4,6]
1110111110 => 0001000001 => [3,1,5,1]
1110111011 => 0001000100 => [3,1,3,1,2]
1110110100 => 0001001011 => [3,1,2,1,1,2]
1110101111 => 0001010000 => [3,1,1,1,4]
1110101010 => 0001010101 => [3,1,1,1,1,1,1,1]
1110100001 => 0001011110 => [3,1,1,4,1]
1110100000 => 0001011111 => [3,1,1,5]
1110011100 => 0001100011 => [3,2,3,2]
1110010110 => 0001101001 => [3,2,1,1,2,1]
1110010011 => 0001101100 => [3,2,1,2,2]
1110010001 => 0001101110 => [3,2,1,3,1]
1110010000 => 0001101111 => [3,2,1,4]
1110001001 => 0001110110 => [3,3,1,2,1]
1110001000 => 0001110111 => [3,3,1,3]
1110000101 => 0001111010 => [3,4,1,1,1]
1110000100 => 0001111011 => [3,4,1,2]
1110000011 => 0001111100 => [3,5,2]
1110000010 => 0001111101 => [3,5,1,1]
1110000001 => 0001111110 => [3,6,1]
1110000000 => 0001111111 => [3,7]
1101110001 => 0010001110 => [2,1,3,3,1]
1101101010 => 0010010101 => [2,1,2,1,1,1,1,1]
1101100001 => 0010011110 => [2,1,2,4,1]
1101010101 => 0010101010 => [2,1,1,1,1,1,1,1,1]
1101010011 => 0010101100 => [2,1,1,1,1,2,2]
1101010001 => 0010101110 => [2,1,1,1,1,3,1]
1101001110 => 0010110001 => [2,1,1,2,3,1]
1101001101 => 0010110010 => [2,1,1,2,2,1,1]
1101001011 => 0010110100 => [2,1,1,2,1,1,2]
1101001001 => 0010110110 => [2,1,1,2,1,2,1]
1101000111 => 0010111000 => [2,1,1,3,3]
1101000101 => 0010111010 => [2,1,1,3,1,1,1]
1101000011 => 0010111100 => [2,1,1,4,2]
1101000010 => 0010111101 => [2,1,1,4,1,1]
1101000001 => 0010111110 => [2,1,1,5,1]
1101000000 => 0010111111 => [2,1,1,6]
1100111100 => 0011000011 => [2,2,4,2]
1100111001 => 0011000110 => [2,2,3,2,1]
1100110101 => 0011001010 => [2,2,2,1,1,1,1]
1100110011 => 0011001100 => [2,2,2,2,2]
1100110001 => 0011001110 => [2,2,2,3,1]
1100101101 => 0011010010 => [2,2,1,1,2,1,1]
1100101011 => 0011010100 => [2,2,1,1,1,1,2]
1100101001 => 0011010110 => [2,2,1,1,1,2,1]
1100101000 => 0011010111 => [2,2,1,1,1,3]
1100100111 => 0011011000 => [2,2,1,2,3]
1100100110 => 0011011001 => [2,2,1,2,2,1]
1100100101 => 0011011010 => [2,2,1,2,1,1,1]
1100100100 => 0011011011 => [2,2,1,2,1,2]
1100100010 => 0011011101 => [2,2,1,3,1,1]
1100100001 => 0011011110 => [2,2,1,4,1]
1100100000 => 0011011111 => [2,2,1,5]
1100011101 => 0011100010 => [2,3,3,1,1]
1100011011 => 0011100100 => [2,3,2,1,2]
1100011001 => 0011100110 => [2,3,2,2,1]
1100010111 => 0011101000 => [2,3,1,1,3]
1100010101 => 0011101010 => [2,3,1,1,1,1,1]
1100010011 => 0011101100 => [2,3,1,2,2]
1100010001 => 0011101110 => [2,3,1,3,1]
1100001111 => 0011110000 => [2,4,4]
1100001110 => 0011110001 => [2,4,3,1]
1100001101 => 0011110010 => [2,4,2,1,1]
1100001100 => 0011110011 => [2,4,2,2]
1100001011 => 0011110100 => [2,4,1,1,2]
1100001010 => 0011110101 => [2,4,1,1,1,1]
1100001001 => 0011110110 => [2,4,1,2,1]
1100000111 => 0011111000 => [2,5,3]
1100000110 => 0011111001 => [2,5,2,1]
1100000101 => 0011111010 => [2,5,1,1,1]
1100000011 => 0011111100 => [2,6,2]
1100000010 => 0011111101 => [2,6,1,1]
1100000001 => 0011111110 => [2,7,1]
1100000000 => 0011111111 => [2,8]
1011111111 => 0100000000 => [1,1,8]
1011111110 => 0100000001 => [1,1,7,1]
1011111101 => 0100000010 => [1,1,6,1,1]
1011111100 => 0100000011 => [1,1,6,2]
1011111011 => 0100000100 => [1,1,5,1,2]
1011111010 => 0100000101 => [1,1,5,1,1,1]
1011111000 => 0100000111 => [1,1,5,3]
1011110100 => 0100001011 => [1,1,4,1,1,2]
1011101111 => 0100010000 => [1,1,3,1,4]
1011101110 => 0100010001 => [1,1,3,1,3,1]
1011101100 => 0100010011 => [1,1,3,1,2,2]
1011101010 => 0100010101 => [1,1,3,1,1,1,1,1]
1011100110 => 0100011001 => [1,1,3,2,2,1]
1011100001 => 0100011110 => [1,1,3,4,1]
1011100000 => 0100011111 => [1,1,3,5]
1011011110 => 0100100001 => [1,1,2,1,4,1]
1011011100 => 0100100011 => [1,1,2,1,3,2]
1011010110 => 0100101001 => [1,1,2,1,1,1,2,1]
1011010101 => 0100101010 => [1,1,2,1,1,1,1,1,1]
1011010011 => 0100101100 => [1,1,2,1,1,2,2]
1011010001 => 0100101110 => [1,1,2,1,1,3,1]
1011010000 => 0100101111 => [1,1,2,1,1,4]
1011001110 => 0100110001 => [1,1,2,2,3,1]
1011001101 => 0100110010 => [1,1,2,2,2,1,1]
1011001011 => 0100110100 => [1,1,2,2,1,1,2]
1011001001 => 0100110110 => [1,1,2,2,1,2,1]
1011001000 => 0100110111 => [1,1,2,2,1,3]
1011000111 => 0100111000 => [1,1,2,3,3]
1011000110 => 0100111001 => [1,1,2,3,2,1]
1011000101 => 0100111010 => [1,1,2,3,1,1,1]
1011000100 => 0100111011 => [1,1,2,3,1,2]
1011000011 => 0100111100 => [1,1,2,4,2]
1011000001 => 0100111110 => [1,1,2,5,1]
1011000000 => 0100111111 => [1,1,2,6]
1010111111 => 0101000000 => [1,1,1,1,6]
1010111110 => 0101000001 => [1,1,1,1,5,1]
1010111100 => 0101000011 => [1,1,1,1,4,2]
1010111010 => 0101000101 => [1,1,1,1,3,1,1,1]
1010110101 => 0101001010 => [1,1,1,1,2,1,1,1,1]
1010110011 => 0101001100 => [1,1,1,1,2,2,2]
1010110001 => 0101001110 => [1,1,1,1,2,3,1]
1010110000 => 0101001111 => [1,1,1,1,2,4]
1010101110 => 0101010001 => [1,1,1,1,1,1,3,1]
1010101101 => 0101010010 => [1,1,1,1,1,1,2,1,1]
1010101011 => 0101010100 => [1,1,1,1,1,1,1,1,2]
1010101001 => 0101010110 => [1,1,1,1,1,1,1,2,1]
1010101000 => 0101010111 => [1,1,1,1,1,1,1,3]
1010100111 => 0101011000 => [1,1,1,1,1,2,3]
1010100110 => 0101011001 => [1,1,1,1,1,2,2,1]
1010100101 => 0101011010 => [1,1,1,1,1,2,1,1,1]
1010100100 => 0101011011 => [1,1,1,1,1,2,1,2]
1010100011 => 0101011100 => [1,1,1,1,1,3,2]
1010100010 => 0101011101 => [1,1,1,1,1,3,1,1]
1010100000 => 0101011111 => [1,1,1,1,1,5]
1010011110 => 0101100001 => [1,1,1,2,4,1]
1010011101 => 0101100010 => [1,1,1,2,3,1,1]
1010011100 => 0101100011 => [1,1,1,2,3,2]
1010011011 => 0101100100 => [1,1,1,2,2,1,2]
1010011010 => 0101100101 => [1,1,1,2,2,1,1,1]
1010011000 => 0101100111 => [1,1,1,2,2,3]
1010010111 => 0101101000 => [1,1,1,2,1,1,3]
1010010110 => 0101101001 => [1,1,1,2,1,1,2,1]
1010010101 => 0101101010 => [1,1,1,2,1,1,1,1,1]
1010010100 => 0101101011 => [1,1,1,2,1,1,1,2]
1010010011 => 0101101100 => [1,1,1,2,1,2,2]
1010010000 => 0101101111 => [1,1,1,2,1,4]
1010001111 => 0101110000 => [1,1,1,3,4]
1010001110 => 0101110001 => [1,1,1,3,3,1]
1010001101 => 0101110010 => [1,1,1,3,2,1,1]
1010001100 => 0101110011 => [1,1,1,3,2,2]
1010001011 => 0101110100 => [1,1,1,3,1,1,2]
1010001010 => 0101110101 => [1,1,1,3,1,1,1,1]
1010001000 => 0101110111 => [1,1,1,3,1,3]
1010000111 => 0101111000 => [1,1,1,4,3]
1010000110 => 0101111001 => [1,1,1,4,2,1]
1010000100 => 0101111011 => [1,1,1,4,1,2]
1010000010 => 0101111101 => [1,1,1,5,1,1]
1010000001 => 0101111110 => [1,1,1,6,1]
1010000000 => 0101111111 => [1,1,1,7]
1001111100 => 0110000011 => [1,2,5,2]
1001111000 => 0110000111 => [1,2,4,3]
1001110110 => 0110001001 => [1,2,3,1,2,1]
1001110101 => 0110001010 => [1,2,3,1,1,1,1]
1001110100 => 0110001011 => [1,2,3,1,1,2]
1001110011 => 0110001100 => [1,2,3,2,2]
1001110001 => 0110001110 => [1,2,3,3,1]
1001110000 => 0110001111 => [1,2,3,4]
1001101110 => 0110010001 => [1,2,2,1,3,1]
1001101101 => 0110010010 => [1,2,2,1,2,1,1]
1001101100 => 0110010011 => [1,2,2,1,2,2]
1001101011 => 0110010100 => [1,2,2,1,1,1,2]
1001101010 => 0110010101 => [1,2,2,1,1,1,1,1]
1001101001 => 0110010110 => [1,2,2,1,1,2,1]
1001101000 => 0110010111 => [1,2,2,1,1,3]
1001100111 => 0110011000 => [1,2,2,2,3]
1001100110 => 0110011001 => [1,2,2,2,2,1]
1001100101 => 0110011010 => [1,2,2,2,1,1,1]
1001100100 => 0110011011 => [1,2,2,2,1,2]
1001100011 => 0110011100 => [1,2,2,3,2]
1001100000 => 0110011111 => [1,2,2,5]
1001011110 => 0110100001 => [1,2,1,1,4,1]
1001011101 => 0110100010 => [1,2,1,1,3,1,1]
1001011100 => 0110100011 => [1,2,1,1,3,2]
1001011011 => 0110100100 => [1,2,1,1,2,1,2]
1001011010 => 0110100101 => [1,2,1,1,2,1,1,1]
1001011001 => 0110100110 => [1,2,1,1,2,2,1]
1001011000 => 0110100111 => [1,2,1,1,2,3]
1001010111 => 0110101000 => [1,2,1,1,1,1,3]
1001010110 => 0110101001 => [1,2,1,1,1,1,2,1]
1001010101 => 0110101010 => [1,2,1,1,1,1,1,1,1]
1001010100 => 0110101011 => [1,2,1,1,1,1,1,2]
1001010011 => 0110101100 => [1,2,1,1,1,2,2]
1001010000 => 0110101111 => [1,2,1,1,1,4]
1001001111 => 0110110000 => [1,2,1,2,4]
1001001110 => 0110110001 => [1,2,1,2,3,1]
1001001101 => 0110110010 => [1,2,1,2,2,1,1]
1001001100 => 0110110011 => [1,2,1,2,2,2]
1001001011 => 0110110100 => [1,2,1,2,1,1,2]
1001001010 => 0110110101 => [1,2,1,2,1,1,1,1]
1001001000 => 0110110111 => [1,2,1,2,1,3]
1001000111 => 0110111000 => [1,2,1,3,3]
1001000110 => 0110111001 => [1,2,1,3,2,1]
1001000100 => 0110111011 => [1,2,1,3,1,2]
1001000000 => 0110111111 => [1,2,1,6]
1000111101 => 0111000010 => [1,3,4,1,1]
1000111100 => 0111000011 => [1,3,4,2]
1000111011 => 0111000100 => [1,3,3,1,2]
1000111010 => 0111000101 => [1,3,3,1,1,1]
1000111001 => 0111000110 => [1,3,3,2,1]
1000111000 => 0111000111 => [1,3,3,3]
1000110111 => 0111001000 => [1,3,2,1,3]
1000110110 => 0111001001 => [1,3,2,1,2,1]
1000110101 => 0111001010 => [1,3,2,1,1,1,1]
1000110100 => 0111001011 => [1,3,2,1,1,2]
1000110011 => 0111001100 => [1,3,2,2,2]
1000110010 => 0111001101 => [1,3,2,2,1,1]
1000101111 => 0111010000 => [1,3,1,1,4]
1000101110 => 0111010001 => [1,3,1,1,3,1]
1000101101 => 0111010010 => [1,3,1,1,2,1,1]
1000101100 => 0111010011 => [1,3,1,1,2,2]
1000101011 => 0111010100 => [1,3,1,1,1,1,2]
1000101010 => 0111010101 => [1,3,1,1,1,1,1,1]
1000100111 => 0111011000 => [1,3,1,2,3]
1000100110 => 0111011001 => [1,3,1,2,2,1]
1000100011 => 0111011100 => [1,3,1,3,2]
1000100000 => 0111011111 => [1,3,1,5]
1000011111 => 0111100000 => [1,4,5]
1000011110 => 0111100001 => [1,4,4,1]
1000011101 => 0111100010 => [1,4,3,1,1]
1000011100 => 0111100011 => [1,4,3,2]
1000011011 => 0111100100 => [1,4,2,1,2]
1000011010 => 0111100101 => [1,4,2,1,1,1]
1000010111 => 0111101000 => [1,4,1,1,3]
1000010110 => 0111101001 => [1,4,1,1,2,1]
1000010000 => 0111101111 => [1,4,1,4]
1000001111 => 0111110000 => [1,5,4]
1000001110 => 0111110001 => [1,5,3,1]
1000001010 => 0111110101 => [1,5,1,1,1,1]
1000001000 => 0111110111 => [1,5,1,3]
1000000110 => 0111111001 => [1,6,2,1]
1000000100 => 0111111011 => [1,6,1,2]
1000000010 => 0111111101 => [1,7,1,1]
1000000001 => 0111111110 => [1,8,1]
1000000000 => 0111111111 => [1,9]
10000000000 => 01111111111 => [1,10]
10000000010 => 01111111101 => [1,8,1,1]
10111111110 => 01000000001 => [1,1,8,1]
11111111110 => 00000000001 => [10,1]
100000000010 => 011111111101 => [1,9,1,1]
10000001010 => 01111110101 => [1,6,1,1,1,1]
100000011110 => 011111100001 => [1,6,4,1]
100000111110 => 011111000001 => [1,5,5,1]
101111111110 => 010000000001 => [1,1,9,1]
100000000100 => 011111111011 => [1,8,1,2]
100001011110 => 011110100001 => [1,4,1,1,4,1]
100101111110 => 011010000001 => [1,2,1,1,6,1]
100000001000 => 011111110111 => [1,7,1,3]
10000101010 => 01111010101 => [1,4,1,1,1,1,1,1]
100001001110 => 011110110001 => [1,4,1,2,3,1]
100010011110 => 011101100001 => [1,3,1,2,4,1]
100001101110 => 011110010001 => [1,4,2,1,3,1]
10111011110 => 01000100001 => [1,1,3,1,4,1]
11110111110 => 00001000001 => [4,1,5,1]
111011111110 => 000100000001 => [3,1,7,1]
100001000110 => 011110111001 => [1,4,1,3,2,1]
100000101010 => 011111010101 => [1,5,1,1,1,1,1,1]
100010001110 => 011101110001 => [1,3,1,3,3,1]
100100011110 => 011011100001 => [1,2,1,3,4,1]
100010101110 => 011101010001 => [1,3,1,1,1,1,3,1]
100001110110 => 011110001001 => [1,4,3,1,2,1]
101010111110 => 010101000001 => [1,1,1,1,1,1,5,1]
100111011110 => 011000100001 => [1,2,3,1,4,1]
10111101110 => 01000010001 => [1,1,4,1,3,1]
100000100000 => 011111011111 => [1,5,1,5]
100010010110 => 011101101001 => [1,3,1,2,1,1,2,1]
101000011110 => 010111100001 => [1,1,1,4,4,1]
100100101110 => 011011010001 => [1,2,1,2,1,1,3,1]
100011001110 => 011100110001 => [1,3,2,2,3,1]
100010110110 => 011101001001 => [1,3,1,1,2,1,2,1]
100001111010 => 011110000101 => [1,4,4,1,1,1]
11101011110 => 00010100001 => [3,1,1,1,4,1]
11011101110 => 00100010001 => [2,1,3,1,3,1]
111110111110 => 000001000001 => [5,1,5,1]
100001000000 => 011110111111 => [1,4,1,6]
10010000000 => 01101111111 => [1,2,1,7]
10100000010 => 01011111101 => [1,1,1,6,1,1]
100010001010 => 011101110101 => [1,3,1,3,1,1,1,1]
100001001100 => 011110110011 => [1,4,1,2,2,2]
100001011100 => 011110100011 => [1,4,1,1,3,2]
110000011110 => 001111100001 => [2,5,4,1]
101000101110 => 010111010001 => [1,1,1,3,1,1,3,1]
100101001110 => 011010110001 => [1,2,1,1,1,2,3,1]
100100110110 => 011011001001 => [1,2,1,2,2,1,2,1]
100011010110 => 011100101001 => [1,3,2,1,1,1,2,1]
100010111010 => 011101000101 => [1,3,1,1,3,1,1,1]
100001111100 => 011110000011 => [1,4,5,2]
10101010110 => 01010101001 => [1,1,1,1,1,1,1,1,2,1]
101101011110 => 010010100001 => [1,1,2,1,1,1,4,1]
101011101110 => 010100010001 => [1,1,1,1,3,1,3,1]
100111110110 => 011000001001 => [1,2,5,1,2,1]
11101101110 => 00010010001 => [3,1,2,1,3,1]
11111110110 => 00000001001 => [7,1,2,1]
100010000000 => 011101111111 => [1,3,1,7]
10100000000 => 01011111111 => [1,1,1,8]
11000000010 => 00111111101 => [2,7,1,1]
110000001110 => 001111110001 => [2,6,3,1]
100011000110 => 011100111001 => [1,3,2,3,2,1]
100010101010 => 011101010101 => [1,3,1,1,1,1,1,1,1,1]
100010011100 => 011101100011 => [1,3,1,2,3,2]
100001101100 => 011110010011 => [1,4,2,1,2,2]
110000101110 => 001111010001 => [2,4,1,1,3,1]
101001001110 => 010110110001 => [1,1,1,2,1,2,3,1]
101000110110 => 010111001001 => [1,1,1,3,2,1,2,1]
100110001110 => 011001110001 => [1,2,2,3,3,1]
100101010110 => 011010101001 => [1,2,1,1,1,1,1,1,2,1]
100100111010 => 011011000101 => [1,2,1,2,3,1,1,1]
100011100110 => 011100011001 => [1,3,3,2,2,1]
100011011010 => 011100100101 => [1,3,2,1,2,1,1,1]
100010111100 => 011101000011 => [1,3,1,1,4,2]
10101011010 => 01010100101 => [1,1,1,1,1,1,2,1,1,1]
11101110110 => 00010001001 => [3,1,3,1,2,1]
10111111100 => 01000000011 => [1,1,7,2]
11111111010 => 00000000101 => [8,1,1,1]
111111101110 => 000000010001 => [7,1,3,1]
=> => []
0111111111 => 1000000000 => [1,9]
0111111101 => 1000000010 => [1,7,1,1]
0111111001 => 1000000110 => [1,6,2,1]
0111110001 => 1000001110 => [1,5,3,1]
0111100001 => 1000011110 => [1,4,4,1]
0111000001 => 1000111110 => [1,3,5,1]
0110000001 => 1001111110 => [1,2,6,1]
0100000001 => 1011111110 => [1,1,7,1]
0000000001 => 1111111110 => [9,1]
01111111111 => 10000000000 => [1,10]
01111111101 => 10000000010 => [1,8,1,1]
0111111011 => 1000000100 => [1,6,1,2]
01111111001 => 10000000110 => [1,7,2,1]
0111110101 => 1000001010 => [1,5,1,1,1,1]
01111110001 => 10000001110 => [1,6,3,1]
0111101001 => 1000010110 => [1,4,1,1,2,1]
01111100001 => 10000011110 => [1,5,4,1]
0111010001 => 1000101110 => [1,3,1,1,3,1]
01111000001 => 10000111110 => [1,4,5,1]
0110100001 => 1001011110 => [1,2,1,1,4,1]
01110000001 => 10001111110 => [1,3,6,1]
0101000001 => 1010111110 => [1,1,1,1,5,1]
01100000001 => 10011111110 => [1,2,7,1]
0010000001 => 1101111110 => [2,1,6,1]
01000000001 => 10111111110 => [1,1,8,1]
00000000001 => 11111111110 => [10,1]
0101010101 => 1010101010 => [1,1,1,1,1,1,1,1,1,1]
0101010011 => 1010101100 => [1,1,1,1,1,1,2,2]
0101001101 => 1010110010 => [1,1,1,1,2,2,1,1]
0101001011 => 1010110100 => [1,1,1,1,2,1,1,2]
0101000111 => 1010111000 => [1,1,1,1,3,3]
0100110101 => 1011001010 => [1,1,2,2,1,1,1,1]
0100110011 => 1011001100 => [1,1,2,2,2,2]
0100101101 => 1011010010 => [1,1,2,1,1,2,1,1]
0100101011 => 1011010100 => [1,1,2,1,1,1,1,2]
0100100111 => 1011011000 => [1,1,2,1,2,3]
0100011101 => 1011100010 => [1,1,3,3,1,1]
0100011011 => 1011100100 => [1,1,3,2,1,2]
0100010111 => 1011101000 => [1,1,3,1,1,3]
0100001111 => 1011110000 => [1,1,4,4]
0011010101 => 1100101010 => [2,2,1,1,1,1,1,1]
0011010011 => 1100101100 => [2,2,1,1,2,2]
0011001101 => 1100110010 => [2,2,2,2,1,1]
0011001011 => 1100110100 => [2,2,2,1,1,2]
0011000111 => 1100111000 => [2,2,3,3]
0010110101 => 1101001010 => [2,1,1,2,1,1,1,1]
0010110011 => 1101001100 => [2,1,1,2,2,2]
0010101101 => 1101010010 => [2,1,1,1,1,2,1,1]
0010101011 => 1101010100 => [2,1,1,1,1,1,1,2]
0010100111 => 1101011000 => [2,1,1,1,2,3]
0010011101 => 1101100010 => [2,1,2,3,1,1]
0010011011 => 1101100100 => [2,1,2,2,1,2]
0010010111 => 1101101000 => [2,1,2,1,1,3]
0010001111 => 1101110000 => [2,1,3,4]
0001110101 => 1110001010 => [3,3,1,1,1,1]
0001110011 => 1110001100 => [3,3,2,2]
0001101101 => 1110010010 => [3,2,1,2,1,1]
0001101011 => 1110010100 => [3,2,1,1,1,2]
0001100111 => 1110011000 => [3,2,2,3]
0001011101 => 1110100010 => [3,1,1,3,1,1]
0001011011 => 1110100100 => [3,1,1,2,1,2]
0001010111 => 1110101000 => [3,1,1,1,1,3]
0001001111 => 1110110000 => [3,1,2,4]
0000111101 => 1111000010 => [4,4,1,1]
0000111011 => 1111000100 => [4,3,1,2]
0000110111 => 1111001000 => [4,2,1,3]
0000101111 => 1111010000 => [4,1,1,4]
0000011111 => 1111100000 => [5,5]
010101010101 => 101010101010 => [1,1,1,1,1,1,1,1,1,1,1,1]
010101010011 => 101010101100 => [1,1,1,1,1,1,1,1,2,2]
010101001101 => 101010110010 => [1,1,1,1,1,1,2,2,1,1]
010101001011 => 101010110100 => [1,1,1,1,1,1,2,1,1,2]
010101000111 => 101010111000 => [1,1,1,1,1,1,3,3]
010100110101 => 101011001010 => [1,1,1,1,2,2,1,1,1,1]
010100110011 => 101011001100 => [1,1,1,1,2,2,2,2]
010100101101 => 101011010010 => [1,1,1,1,2,1,1,2,1,1]
010100101011 => 101011010100 => [1,1,1,1,2,1,1,1,1,2]
010100100111 => 101011011000 => [1,1,1,1,2,1,2,3]
010100011101 => 101011100010 => [1,1,1,1,3,3,1,1]
010100011011 => 101011100100 => [1,1,1,1,3,2,1,2]
010100010111 => 101011101000 => [1,1,1,1,3,1,1,3]
010100001111 => 101011110000 => [1,1,1,1,4,4]
010011010101 => 101100101010 => [1,1,2,2,1,1,1,1,1,1]
010011010011 => 101100101100 => [1,1,2,2,1,1,2,2]
010011001101 => 101100110010 => [1,1,2,2,2,2,1,1]
010011001011 => 101100110100 => [1,1,2,2,2,1,1,2]
010011000111 => 101100111000 => [1,1,2,2,3,3]
010010110101 => 101101001010 => [1,1,2,1,1,2,1,1,1,1]
010010110011 => 101101001100 => [1,1,2,1,1,2,2,2]
010010101101 => 101101010010 => [1,1,2,1,1,1,1,2,1,1]
010010101011 => 101101010100 => [1,1,2,1,1,1,1,1,1,2]
010010100111 => 101101011000 => [1,1,2,1,1,1,2,3]
010010011101 => 101101100010 => [1,1,2,1,2,3,1,1]
010010011011 => 101101100100 => [1,1,2,1,2,2,1,2]
010010010111 => 101101101000 => [1,1,2,1,2,1,1,3]
010010001111 => 101101110000 => [1,1,2,1,3,4]
010001110101 => 101110001010 => [1,1,3,3,1,1,1,1]
010001110011 => 101110001100 => [1,1,3,3,2,2]
010001101101 => 101110010010 => [1,1,3,2,1,2,1,1]
010001101011 => 101110010100 => [1,1,3,2,1,1,1,2]
010001100111 => 101110011000 => [1,1,3,2,2,3]
010001011101 => 101110100010 => [1,1,3,1,1,3,1,1]
010001011011 => 101110100100 => [1,1,3,1,1,2,1,2]
010001010111 => 101110101000 => [1,1,3,1,1,1,1,3]
010001001111 => 101110110000 => [1,1,3,1,2,4]
010000111101 => 101111000010 => [1,1,4,4,1,1]
010000111011 => 101111000100 => [1,1,4,3,1,2]
010000110111 => 101111001000 => [1,1,4,2,1,3]
010000101111 => 101111010000 => [1,1,4,1,1,4]
010000011111 => 101111100000 => [1,1,5,5]
001101010101 => 110010101010 => [2,2,1,1,1,1,1,1,1,1]
001101010011 => 110010101100 => [2,2,1,1,1,1,2,2]
001101001101 => 110010110010 => [2,2,1,1,2,2,1,1]
001101001011 => 110010110100 => [2,2,1,1,2,1,1,2]
001101000111 => 110010111000 => [2,2,1,1,3,3]
001100110101 => 110011001010 => [2,2,2,2,1,1,1,1]
001100110011 => 110011001100 => [2,2,2,2,2,2]
001100101101 => 110011010010 => [2,2,2,1,1,2,1,1]
001100101011 => 110011010100 => [2,2,2,1,1,1,1,2]
001100100111 => 110011011000 => [2,2,2,1,2,3]
001100011101 => 110011100010 => [2,2,3,3,1,1]
001100011011 => 110011100100 => [2,2,3,2,1,2]
001100010111 => 110011101000 => [2,2,3,1,1,3]
001100001111 => 110011110000 => [2,2,4,4]
001011010101 => 110100101010 => [2,1,1,2,1,1,1,1,1,1]
001011010011 => 110100101100 => [2,1,1,2,1,1,2,2]
001011001101 => 110100110010 => [2,1,1,2,2,2,1,1]
001011001011 => 110100110100 => [2,1,1,2,2,1,1,2]
001011000111 => 110100111000 => [2,1,1,2,3,3]
001010110101 => 110101001010 => [2,1,1,1,1,2,1,1,1,1]
001010110011 => 110101001100 => [2,1,1,1,1,2,2,2]
001010101101 => 110101010010 => [2,1,1,1,1,1,1,2,1,1]
001010101011 => 110101010100 => [2,1,1,1,1,1,1,1,1,2]
001010100111 => 110101011000 => [2,1,1,1,1,1,2,3]
001010011101 => 110101100010 => [2,1,1,1,2,3,1,1]
001010011011 => 110101100100 => [2,1,1,1,2,2,1,2]
001010010111 => 110101101000 => [2,1,1,1,2,1,1,3]
001010001111 => 110101110000 => [2,1,1,1,3,4]
001001110101 => 110110001010 => [2,1,2,3,1,1,1,1]
001001110011 => 110110001100 => [2,1,2,3,2,2]
001001101101 => 110110010010 => [2,1,2,2,1,2,1,1]
001001101011 => 110110010100 => [2,1,2,2,1,1,1,2]
001001100111 => 110110011000 => [2,1,2,2,2,3]
001001011101 => 110110100010 => [2,1,2,1,1,3,1,1]
001001011011 => 110110100100 => [2,1,2,1,1,2,1,2]
001001010111 => 110110101000 => [2,1,2,1,1,1,1,3]
001001001111 => 110110110000 => [2,1,2,1,2,4]
001000111101 => 110111000010 => [2,1,3,4,1,1]
001000111011 => 110111000100 => [2,1,3,3,1,2]
001000110111 => 110111001000 => [2,1,3,2,1,3]
001000101111 => 110111010000 => [2,1,3,1,1,4]
001000011111 => 110111100000 => [2,1,4,5]
000111010101 => 111000101010 => [3,3,1,1,1,1,1,1]
000111010011 => 111000101100 => [3,3,1,1,2,2]
000111001101 => 111000110010 => [3,3,2,2,1,1]
000111001011 => 111000110100 => [3,3,2,1,1,2]
000111000111 => 111000111000 => [3,3,3,3]
000110110101 => 111001001010 => [3,2,1,2,1,1,1,1]
000110110011 => 111001001100 => [3,2,1,2,2,2]
000110101101 => 111001010010 => [3,2,1,1,1,2,1,1]
000110101011 => 111001010100 => [3,2,1,1,1,1,1,2]
000110100111 => 111001011000 => [3,2,1,1,2,3]
000110011101 => 111001100010 => [3,2,2,3,1,1]
000110011011 => 111001100100 => [3,2,2,2,1,2]
000110010111 => 111001101000 => [3,2,2,1,1,3]
000110001111 => 111001110000 => [3,2,3,4]
000101110101 => 111010001010 => [3,1,1,3,1,1,1,1]
000101110011 => 111010001100 => [3,1,1,3,2,2]
000101101101 => 111010010010 => [3,1,1,2,1,2,1,1]
000101101011 => 111010010100 => [3,1,1,2,1,1,1,2]
000101100111 => 111010011000 => [3,1,1,2,2,3]
000101011101 => 111010100010 => [3,1,1,1,1,3,1,1]
000101011011 => 111010100100 => [3,1,1,1,1,2,1,2]
000101010111 => 111010101000 => [3,1,1,1,1,1,1,3]
000101001111 => 111010110000 => [3,1,1,1,2,4]
000100111101 => 111011000010 => [3,1,2,4,1,1]
000100111011 => 111011000100 => [3,1,2,3,1,2]
000100110111 => 111011001000 => [3,1,2,2,1,3]
000100101111 => 111011010000 => [3,1,2,1,1,4]
000100011111 => 111011100000 => [3,1,3,5]
000011110101 => 111100001010 => [4,4,1,1,1,1]
000011110011 => 111100001100 => [4,4,2,2]
000011101101 => 111100010010 => [4,3,1,2,1,1]
000011101011 => 111100010100 => [4,3,1,1,1,2]
000011100111 => 111100011000 => [4,3,2,3]
000011011101 => 111100100010 => [4,2,1,3,1,1]
000011011011 => 111100100100 => [4,2,1,2,1,2]
000011010111 => 111100101000 => [4,2,1,1,1,3]
000011001111 => 111100110000 => [4,2,2,4]
000010111101 => 111101000010 => [4,1,1,4,1,1]
000010111011 => 111101000100 => [4,1,1,3,1,2]
000010110111 => 111101001000 => [4,1,1,2,1,3]
000010101111 => 111101010000 => [4,1,1,1,1,4]
000010011111 => 111101100000 => [4,1,2,5]
000001111101 => 111110000010 => [5,5,1,1]
000001111011 => 111110000100 => [5,4,1,2]
000001110111 => 111110001000 => [5,3,1,3]
000001101111 => 111110010000 => [5,2,1,4]
000001011111 => 111110100000 => [5,1,1,5]
000000111111 => 111111000000 => [6,6]
111111111111 => 000000000000 => [12]
111110000001 => 000001111110 => [5,6,1]
111001100001 => 000110011110 => [3,2,2,4,1]
111000011001 => 000111100110 => [3,4,2,2,1]
111000000111 => 000111111000 => [3,6,3]
111000001101 => 000111110010 => [3,5,2,1,1]
111000110001 => 000111001110 => [3,3,2,3,1]
111000100101 => 000111011010 => [3,3,1,2,1,1,1]
111011000001 => 000100111110 => [3,1,2,5,1]
111010010001 => 000101101110 => [3,1,1,2,1,3,1]
111010000101 => 000101111010 => [3,1,1,4,1,1,1]
100111100001 => 011000011110 => [1,2,4,4,1]
100110011001 => 011001100110 => [1,2,2,2,2,2,1]
100110000111 => 011001111000 => [1,2,2,4,3]
100110001101 => 011001110010 => [1,2,2,3,2,1,1]
100110110001 => 011001001110 => [1,2,2,1,2,3,1]
100110100101 => 011001011010 => [1,2,2,1,1,2,1,1,1]
100001111001 => 011110000110 => [1,4,4,2,1]
100001100111 => 011110011000 => [1,4,2,2,3]
100001101101 => 011110010010 => [1,4,2,1,2,1,1]
100000011111 => 011111100000 => [1,6,5]
100000110111 => 011111001000 => [1,5,2,1,3]
100000111101 => 011111000010 => [1,5,4,1,1]
100011011001 => 011100100110 => [1,3,2,1,2,2,1]
100011000111 => 011100111000 => [1,3,2,3,3]
100011001101 => 011100110010 => [1,3,2,2,2,1,1]
100011100101 => 011100011010 => [1,3,3,2,1,1,1]
100010010111 => 011101101000 => [1,3,1,2,1,1,3]
100010011101 => 011101100010 => [1,3,1,2,3,1,1]
100010110101 => 011101001010 => [1,3,1,1,2,1,1,1,1]
101101100001 => 010010011110 => [1,1,2,1,2,4,1]
101100011001 => 010011100110 => [1,1,2,3,2,2,1]
101100000111 => 010011111000 => [1,1,2,5,3]
101100001101 => 010011110010 => [1,1,2,4,2,1,1]
101100110001 => 010011001110 => [1,1,2,2,2,3,1]
101100100101 => 010011011010 => [1,1,2,2,1,2,1,1,1]
101111000001 => 010000111110 => [1,1,4,5,1]
101110010001 => 010001101110 => [1,1,3,2,1,3,1]
101110000101 => 010001111010 => [1,1,3,4,1,1,1]
101001011001 => 010110100110 => [1,1,1,2,1,1,2,2,1]
101001000111 => 010110111000 => [1,1,1,2,1,3,3]
101001001101 => 010110110010 => [1,1,1,2,1,2,2,1,1]
101001110001 => 010110001110 => [1,1,1,2,3,3,1]
101000010111 => 010111101000 => [1,1,1,4,1,1,3]
101000011101 => 010111100010 => [1,1,1,4,3,1,1]
101000110101 => 010111001010 => [1,1,1,3,2,1,1,1,1]
101011010001 => 010100101110 => [1,1,1,1,2,1,1,3,1]
101011000101 => 010100111010 => [1,1,1,1,2,3,1,1,1]
101010010101 => 010101101010 => [1,1,1,1,1,2,1,1,1,1,1]
0000000000 => 1111111111 => [10]
0000000110 => 1111111001 => [7,2,1]
0000011110 => 1111100001 => [5,4,1]
0001100000 => 1110011111 => [3,2,5]
0001100110 => 1110011001 => [3,2,2,2,1]
0001111000 => 1110000111 => [3,4,3]
0001111110 => 1110000001 => [3,6,1]
0001110010 => 1110001101 => [3,3,2,1,1]
0001001110 => 1110110001 => [3,1,2,3,1]
0001000010 => 1110111101 => [3,1,4,1,1]
0001011010 => 1110100101 => [3,1,1,2,1,1,1]
0110011000 => 1001100111 => [1,2,2,2,3]
0110010010 => 1001101101 => [1,2,2,1,2,1,1]
0111100000 => 1000011111 => [1,4,5]
0111111110 => 1000000001 => [1,8,1]
0111110010 => 1000001101 => [1,5,2,1,1]
0111001000 => 1000110111 => [1,3,2,1,3]
0111000010 => 1000111101 => [1,3,4,1,1]
0100100110 => 1011011001 => [1,1,2,1,2,2,1]
0100111000 => 1011000111 => [1,1,2,3,3]
0100110010 => 1011001101 => [1,1,2,2,2,1,1]
0100001000 => 1011110111 => [1,1,4,1,3]
0100001110 => 1011110001 => [1,1,4,3,1]
0100000010 => 1011111101 => [1,1,6,1,1]
0101101000 => 1010010111 => [1,1,1,2,1,1,3]
0101100010 => 1010011101 => [1,1,1,2,3,1,1]
0101001010 => 1010110101 => [1,1,1,1,2,1,1,1,1]
000000000000 => 111111111111 => [12]
000001111110 => 111110000001 => [5,6,1]
000110011110 => 111001100001 => [3,2,2,4,1]
000111100110 => 111000011001 => [3,4,2,2,1]
000111111000 => 111000000111 => [3,6,3]
000111110010 => 111000001101 => [3,5,2,1,1]
000111001110 => 111000110001 => [3,3,2,3,1]
000111011010 => 111000100101 => [3,3,1,2,1,1,1]
000100111110 => 111011000001 => [3,1,2,5,1]
000101101110 => 111010010001 => [3,1,1,2,1,3,1]
000101111010 => 111010000101 => [3,1,1,4,1,1,1]
011000011110 => 100111100001 => [1,2,4,4,1]
011001100110 => 100110011001 => [1,2,2,2,2,2,1]
011001111000 => 100110000111 => [1,2,2,4,3]
011001110010 => 100110001101 => [1,2,2,3,2,1,1]
011001011010 => 100110100101 => [1,2,2,1,1,2,1,1,1]
011110000110 => 100001111001 => [1,4,4,2,1]
011110011000 => 100001100111 => [1,4,2,2,3]
011110010010 => 100001101101 => [1,4,2,1,2,1,1]
011111100000 => 100000011111 => [1,6,5]
011111001000 => 100000110111 => [1,5,2,1,3]
011111000010 => 100000111101 => [1,5,4,1,1]
011100111000 => 100011000111 => [1,3,2,3,3]
011100001110 => 100011110001 => [1,3,4,3,1]
011100011010 => 100011100101 => [1,3,3,2,1,1,1]
011101101000 => 100010010111 => [1,3,1,2,1,1,3]
011101100010 => 100010011101 => [1,3,1,2,3,1,1]
011101001010 => 100010110101 => [1,3,1,1,2,1,1,1,1]
010010011000 => 101101100111 => [1,1,2,1,2,2,3]
010010011110 => 101101100001 => [1,1,2,1,2,4,1]
010011100110 => 101100011001 => [1,1,2,3,2,2,1]
010011111000 => 101100000111 => [1,1,2,5,3]
010011110010 => 101100001101 => [1,1,2,4,2,1,1]
010011001000 => 101100110111 => [1,1,2,2,2,1,3]
010011011010 => 101100100101 => [1,1,2,2,1,2,1,1,1]
010000111110 => 101111000001 => [1,1,4,5,1]
010001101000 => 101110010111 => [1,1,3,2,1,1,3]
010001101110 => 101110010001 => [1,1,3,2,1,3,1]
010001111010 => 101110000101 => [1,1,3,4,1,1,1]
010110100110 => 101001011001 => [1,1,1,2,1,1,2,2,1]
010110111000 => 101001000111 => [1,1,1,2,1,3,3]
010110110010 => 101001001101 => [1,1,1,2,1,2,2,1,1]
010110001000 => 101001110111 => [1,1,1,2,3,1,3]
010110001110 => 101001110001 => [1,1,1,2,3,3,1]
010110011010 => 101001100101 => [1,1,1,2,2,2,1,1,1]
010111101000 => 101000010111 => [1,1,1,4,1,1,3]
010111100010 => 101000011101 => [1,1,1,4,3,1,1]
010111001010 => 101000110101 => [1,1,1,3,2,1,1,1,1]
010100101110 => 101011010001 => [1,1,1,1,2,1,1,3,1]
010100111010 => 101011000101 => [1,1,1,1,2,3,1,1,1]
010101101010 => 101010010101 => [1,1,1,1,1,2,1,1,1,1,1]
0010101010 => 1101010101 => [2,1,1,1,1,1,1,1,1]
0010101000 => 1101010111 => [2,1,1,1,1,1,3]
0010101100 => 1101010011 => [2,1,1,1,1,2,2]
0010110100 => 1101001011 => [2,1,1,2,1,1,2]
0011010100 => 1100101011 => [2,2,1,1,1,1,2]
0001010100 => 1110101011 => [3,1,1,1,1,1,2]
0101010100 => 1010101011 => [1,1,1,1,1,1,1,1,2]
0010101110 => 1101010001 => [2,1,1,1,1,3,1]
0010100000 => 1101011111 => [2,1,1,1,5]
0010111100 => 1101000011 => [2,1,1,4,2]
0011110100 => 1100001011 => [2,4,1,1,2]
0111010100 => 1000101011 => [1,3,1,1,1,1,2]
0000000010 => 1111111101 => [8,1,1]
0000001110 => 1111110001 => [6,3,1]
0000111110 => 1111000001 => [4,5,1]
0011111110 => 1100000001 => [2,7,1]
00000000000 => 11111111111 => [11]
00000000010 => 11111111101 => [9,1,1]
0000000100 => 1111111011 => [7,1,2]
00000000110 => 11111111001 => [8,2,1]
0000001010 => 1111110101 => [6,1,1,1,1]
00000001110 => 11111110001 => [7,3,1]
0000010110 => 1111101001 => [5,1,1,2,1]
00000011110 => 11111100001 => [6,4,1]
0000101110 => 1111010001 => [4,1,1,3,1]
00000111110 => 11111000001 => [5,5,1]
0001011110 => 1110100001 => [3,1,1,4,1]
00001111110 => 11110000001 => [4,6,1]
0010111110 => 1101000001 => [2,1,1,5,1]
00011111110 => 11100000001 => [3,7,1]
0101111110 => 1010000001 => [1,1,1,6,1]
00111111110 => 11000000001 => [2,8,1]
01111111110 => 10000000001 => [1,9,1]
0010110010 => 1101001101 => [2,1,1,2,2,1,1]
0010111000 => 1101000111 => [2,1,1,3,3]
0011001010 => 1100110101 => [2,2,2,1,1,1,1]
0011001100 => 1100110011 => [2,2,2,2,2]
0011010010 => 1100101101 => [2,2,1,1,2,1,1]
0011011000 => 1100100111 => [2,2,1,2,3]
0011100010 => 1100011101 => [2,3,3,1,1]
0011100100 => 1100011011 => [2,3,2,1,2]
0011101000 => 1100010111 => [2,3,1,1,3]
0011110000 => 1100001111 => [2,4,4]
0100101010 => 1011010101 => [1,1,2,1,1,1,1,1,1]
0100101100 => 1011010011 => [1,1,2,1,1,2,2]
0100110100 => 1011001011 => [1,1,2,2,1,1,2]
0101001100 => 1010110011 => [1,1,1,1,2,2,2]
0101010010 => 1010101101 => [1,1,1,1,1,1,2,1,1]
0101011000 => 1010100111 => [1,1,1,1,1,2,3]
0101100100 => 1010011011 => [1,1,1,2,2,1,2]
0101110000 => 1010001111 => [1,1,1,3,4]
0110001010 => 1001110101 => [1,2,3,1,1,1,1]
0110001100 => 1001110011 => [1,2,3,2,2]
0110010100 => 1001101011 => [1,2,2,1,1,1,2]
0110100010 => 1001011101 => [1,2,1,1,3,1,1]
0110100100 => 1001011011 => [1,2,1,1,2,1,2]
0110101000 => 1001010111 => [1,2,1,1,1,1,3]
0110110000 => 1001001111 => [1,2,1,2,4]
0111000100 => 1000111011 => [1,3,3,1,2]
0111010000 => 1000101111 => [1,3,1,1,4]
001010101010 => 110101010101 => [2,1,1,1,1,1,1,1,1,1,1]
001010101100 => 110101010011 => [2,1,1,1,1,1,1,2,2]
001010110010 => 110101001101 => [2,1,1,1,1,2,2,1,1]
001010110100 => 110101001011 => [2,1,1,1,1,2,1,1,2]
001010111000 => 110101000111 => [2,1,1,1,1,3,3]
001011001010 => 110100110101 => [2,1,1,2,2,1,1,1,1]
001011001100 => 110100110011 => [2,1,1,2,2,2,2]
001011010010 => 110100101101 => [2,1,1,2,1,1,2,1,1]
001011010100 => 110100101011 => [2,1,1,2,1,1,1,1,2]
001011011000 => 110100100111 => [2,1,1,2,1,2,3]
001011100010 => 110100011101 => [2,1,1,3,3,1,1]
001011100100 => 110100011011 => [2,1,1,3,2,1,2]
001011101000 => 110100010111 => [2,1,1,3,1,1,3]
001011110000 => 110100001111 => [2,1,1,4,4]
001100101010 => 110011010101 => [2,2,2,1,1,1,1,1,1]
001100101100 => 110011010011 => [2,2,2,1,1,2,2]
001100110010 => 110011001101 => [2,2,2,2,2,1,1]
001100110100 => 110011001011 => [2,2,2,2,1,1,2]
001100111000 => 110011000111 => [2,2,2,3,3]
001101001010 => 110010110101 => [2,2,1,1,2,1,1,1,1]
001101001100 => 110010110011 => [2,2,1,1,2,2,2]
001101010010 => 110010101101 => [2,2,1,1,1,1,2,1,1]
001101010100 => 110010101011 => [2,2,1,1,1,1,1,1,2]
001101011000 => 110010100111 => [2,2,1,1,1,2,3]
001101100010 => 110010011101 => [2,2,1,2,3,1,1]
001101100100 => 110010011011 => [2,2,1,2,2,1,2]
001101101000 => 110010010111 => [2,2,1,2,1,1,3]
001101110000 => 110010001111 => [2,2,1,3,4]
001110001010 => 110001110101 => [2,3,3,1,1,1,1]
001110001100 => 110001110011 => [2,3,3,2,2]
001110010010 => 110001101101 => [2,3,2,1,2,1,1]
001110010100 => 110001101011 => [2,3,2,1,1,1,2]
001110011000 => 110001100111 => [2,3,2,2,3]
001110100010 => 110001011101 => [2,3,1,1,3,1,1]
001110100100 => 110001011011 => [2,3,1,1,2,1,2]
001110101000 => 110001010111 => [2,3,1,1,1,1,3]
001110110000 => 110001001111 => [2,3,1,2,4]
001111000010 => 110000111101 => [2,4,4,1,1]
001111000100 => 110000111011 => [2,4,3,1,2]
001111001000 => 110000110111 => [2,4,2,1,3]
001111010000 => 110000101111 => [2,4,1,1,4]
001111100000 => 110000011111 => [2,5,5]
010010101010 => 101101010101 => [1,1,2,1,1,1,1,1,1,1,1]
010010101100 => 101101010011 => [1,1,2,1,1,1,1,2,2]
010010110010 => 101101001101 => [1,1,2,1,1,2,2,1,1]
010010110100 => 101101001011 => [1,1,2,1,1,2,1,1,2]
010010111000 => 101101000111 => [1,1,2,1,1,3,3]
010011001010 => 101100110101 => [1,1,2,2,2,1,1,1,1]
010011001100 => 101100110011 => [1,1,2,2,2,2,2]
010011010010 => 101100101101 => [1,1,2,2,1,1,2,1,1]
010011010100 => 101100101011 => [1,1,2,2,1,1,1,1,2]
010011011000 => 101100100111 => [1,1,2,2,1,2,3]
010011100010 => 101100011101 => [1,1,2,3,3,1,1]
010011100100 => 101100011011 => [1,1,2,3,2,1,2]
010011101000 => 101100010111 => [1,1,2,3,1,1,3]
010011110000 => 101100001111 => [1,1,2,4,4]
010100101010 => 101011010101 => [1,1,1,1,2,1,1,1,1,1,1]
010100101100 => 101011010011 => [1,1,1,1,2,1,1,2,2]
010100110010 => 101011001101 => [1,1,1,1,2,2,2,1,1]
010100110100 => 101011001011 => [1,1,1,1,2,2,1,1,2]
010100111000 => 101011000111 => [1,1,1,1,2,3,3]
010101001010 => 101010110101 => [1,1,1,1,1,1,2,1,1,1,1]
010101001100 => 101010110011 => [1,1,1,1,1,1,2,2,2]
010101010010 => 101010101101 => [1,1,1,1,1,1,1,1,2,1,1]
010101010100 => 101010101011 => [1,1,1,1,1,1,1,1,1,1,2]
010101011000 => 101010100111 => [1,1,1,1,1,1,1,2,3]
010101100010 => 101010011101 => [1,1,1,1,1,2,3,1,1]
010101100100 => 101010011011 => [1,1,1,1,1,2,2,1,2]
010101101000 => 101010010111 => [1,1,1,1,1,2,1,1,3]
010101110000 => 101010001111 => [1,1,1,1,1,3,4]
010110001010 => 101001110101 => [1,1,1,2,3,1,1,1,1]
010110001100 => 101001110011 => [1,1,1,2,3,2,2]
010110010010 => 101001101101 => [1,1,1,2,2,1,2,1,1]
010110010100 => 101001101011 => [1,1,1,2,2,1,1,1,2]
010110011000 => 101001100111 => [1,1,1,2,2,2,3]
010110100010 => 101001011101 => [1,1,1,2,1,1,3,1,1]
010110100100 => 101001011011 => [1,1,1,2,1,1,2,1,2]
010110101000 => 101001010111 => [1,1,1,2,1,1,1,1,3]
010110110000 => 101001001111 => [1,1,1,2,1,2,4]
010111000010 => 101000111101 => [1,1,1,3,4,1,1]
010111000100 => 101000111011 => [1,1,1,3,3,1,2]
010111001000 => 101000110111 => [1,1,1,3,2,1,3]
010111010000 => 101000101111 => [1,1,1,3,1,1,4]
010111100000 => 101000011111 => [1,1,1,4,5]
011000101010 => 100111010101 => [1,2,3,1,1,1,1,1,1]
011000101100 => 100111010011 => [1,2,3,1,1,2,2]
011000110010 => 100111001101 => [1,2,3,2,2,1,1]
011000110100 => 100111001011 => [1,2,3,2,1,1,2]
011000111000 => 100111000111 => [1,2,3,3,3]
011001001010 => 100110110101 => [1,2,2,1,2,1,1,1,1]
011001001100 => 100110110011 => [1,2,2,1,2,2,2]
011001010010 => 100110101101 => [1,2,2,1,1,1,2,1,1]
011001010100 => 100110101011 => [1,2,2,1,1,1,1,1,2]
011001011000 => 100110100111 => [1,2,2,1,1,2,3]
011001100010 => 100110011101 => [1,2,2,2,3,1,1]
011001100100 => 100110011011 => [1,2,2,2,2,1,2]
011001101000 => 100110010111 => [1,2,2,2,1,1,3]
011001110000 => 100110001111 => [1,2,2,3,4]
011010001010 => 100101110101 => [1,2,1,1,3,1,1,1,1]
011010001100 => 100101110011 => [1,2,1,1,3,2,2]
011010010010 => 100101101101 => [1,2,1,1,2,1,2,1,1]
011010010100 => 100101101011 => [1,2,1,1,2,1,1,1,2]
011010011000 => 100101100111 => [1,2,1,1,2,2,3]
011010100010 => 100101011101 => [1,2,1,1,1,1,3,1,1]
011010100100 => 100101011011 => [1,2,1,1,1,1,2,1,2]
011010101000 => 100101010111 => [1,2,1,1,1,1,1,1,3]
011010110000 => 100101001111 => [1,2,1,1,1,2,4]
011011000010 => 100100111101 => [1,2,1,2,4,1,1]
011011000100 => 100100111011 => [1,2,1,2,3,1,2]
011011001000 => 100100110111 => [1,2,1,2,2,1,3]
011011010000 => 100100101111 => [1,2,1,2,1,1,4]
011011100000 => 100100011111 => [1,2,1,3,5]
011100001010 => 100011110101 => [1,3,4,1,1,1,1]
011100001100 => 100011110011 => [1,3,4,2,2]
011100010010 => 100011101101 => [1,3,3,1,2,1,1]
011100010100 => 100011101011 => [1,3,3,1,1,1,2]
011100011000 => 100011100111 => [1,3,3,2,3]
011100100010 => 100011011101 => [1,3,2,1,3,1,1]
011100100100 => 100011011011 => [1,3,2,1,2,1,2]
011100101000 => 100011010111 => [1,3,2,1,1,1,3]
011100110000 => 100011001111 => [1,3,2,2,4]
011101000010 => 100010111101 => [1,3,1,1,4,1,1]
011101000100 => 100010111011 => [1,3,1,1,3,1,2]
011101001000 => 100010110111 => [1,3,1,1,2,1,3]
011101010000 => 100010101111 => [1,3,1,1,1,1,4]
011101100000 => 100010011111 => [1,3,1,2,5]
011110000010 => 100001111101 => [1,4,5,1,1]
011110000100 => 100001111011 => [1,4,4,1,2]
011110001000 => 100001110111 => [1,4,3,1,3]
011110010000 => 100001101111 => [1,4,2,1,4]
011110100000 => 100001011111 => [1,4,1,1,5]
011111000000 => 100000111111 => [1,5,6]
10101010101 => 01010101010 => [1,1,1,1,1,1,1,1,1,1,1]
01010101010 => 10101010101 => [1,1,1,1,1,1,1,1,1,1,1]
0100000000 => 1011111111 => [1,1,8]
0100000011 => 1011111100 => [1,1,6,2]
0100011111 => 1011100000 => [1,1,3,5]
0100111111 => 1011000000 => [1,1,2,6]
0101111111 => 1010000000 => [1,1,1,7]
01000000000 => 10111111111 => [1,1,9]
01000000011 => 10111111100 => [1,1,7,2]
0100000101 => 1011111010 => [1,1,5,1,1,1]
0100001011 => 1011110100 => [1,1,4,1,1,2]
01000011111 => 10111100000 => [1,1,4,5]
0100101111 => 1011010000 => [1,1,2,1,1,4]
0101011111 => 1010100000 => [1,1,1,1,1,5]
01001111111 => 10110000000 => [1,1,2,7]
0110111111 => 1001000000 => [1,2,1,6]
01011111111 => 10100000000 => [1,1,1,8]
0101010110 => 1010101001 => [1,1,1,1,1,1,1,2,1]
0101011001 => 1010100110 => [1,1,1,1,1,2,2,1]
0101011010 => 1010100101 => [1,1,1,1,1,2,1,1,1]
0101011100 => 1010100011 => [1,1,1,1,1,3,2]
0101100101 => 1010011010 => [1,1,1,2,2,1,1,1]
0101100110 => 1010011001 => [1,1,1,2,2,2,1]
0101101001 => 1010010110 => [1,1,1,2,1,1,2,1]
0101101010 => 1010010101 => [1,1,1,2,1,1,1,1,1]
0101101100 => 1010010011 => [1,1,1,2,1,2,2]
0101110001 => 1010001110 => [1,1,1,3,3,1]
0101110010 => 1010001101 => [1,1,1,3,2,1,1]
0101110100 => 1010001011 => [1,1,1,3,1,1,2]
0101111000 => 1010000111 => [1,1,1,4,3]
0110010101 => 1001101010 => [1,2,2,1,1,1,1,1]
0110010110 => 1001101001 => [1,2,2,1,1,2,1]
0110011001 => 1001100110 => [1,2,2,2,2,1]
0110011010 => 1001100101 => [1,2,2,2,1,1,1]
0110011100 => 1001100011 => [1,2,2,3,2]
0110100101 => 1001011010 => [1,2,1,1,2,1,1,1]
0110101001 => 1001010110 => [1,2,1,1,1,1,2,1]
0110101010 => 1001010101 => [1,2,1,1,1,1,1,1,1]
0110101100 => 1001010011 => [1,2,1,1,1,2,2]
0110110001 => 1001001110 => [1,2,1,2,3,1]
0110110010 => 1001001101 => [1,2,1,2,2,1,1]
0110110100 => 1001001011 => [1,2,1,2,1,1,2]
0110111000 => 1001000111 => [1,2,1,3,3]
0111000101 => 1000111010 => [1,3,3,1,1,1]
0111000110 => 1000111001 => [1,3,3,2,1]
0111001001 => 1000110110 => [1,3,2,1,2,1]
0111001010 => 1000110101 => [1,3,2,1,1,1,1]
0111001100 => 1000110011 => [1,3,2,2,2]
0111010010 => 1000101101 => [1,3,1,1,2,1,1]
0111011000 => 1000100111 => [1,3,1,2,3]
0111100010 => 1000011101 => [1,4,3,1,1]
0111100100 => 1000011011 => [1,4,2,1,2]
0111101000 => 1000010111 => [1,4,1,1,3]
0111110000 => 1000001111 => [1,5,4]
010101010110 => 101010101001 => [1,1,1,1,1,1,1,1,1,2,1]
010101011001 => 101010100110 => [1,1,1,1,1,1,1,2,2,1]
010101011010 => 101010100101 => [1,1,1,1,1,1,1,2,1,1,1]
010101011100 => 101010100011 => [1,1,1,1,1,1,1,3,2]
010101100101 => 101010011010 => [1,1,1,1,1,2,2,1,1,1]
010101101001 => 101010010110 => [1,1,1,1,1,2,1,1,2,1]
010101101100 => 101010010011 => [1,1,1,1,1,2,1,2,2]
010101110001 => 101010001110 => [1,1,1,1,1,3,3,1]
010101110010 => 101010001101 => [1,1,1,1,1,3,2,1,1]
010101110100 => 101010001011 => [1,1,1,1,1,3,1,1,2]
010101111000 => 101010000111 => [1,1,1,1,1,4,3]
010110010101 => 101001101010 => [1,1,1,2,2,1,1,1,1,1]
010110010110 => 101001101001 => [1,1,1,2,2,1,1,2,1]
010110011001 => 101001100110 => [1,1,1,2,2,2,2,1]
010110011100 => 101001100011 => [1,1,1,2,2,3,2]
010110100101 => 101001011010 => [1,1,1,2,1,1,2,1,1,1]
010110101001 => 101001010110 => [1,1,1,2,1,1,1,1,2,1]
010110101010 => 101001010101 => [1,1,1,2,1,1,1,1,1,1,1]
010110101100 => 101001010011 => [1,1,1,2,1,1,1,2,2]
010110110001 => 101001001110 => [1,1,1,2,1,2,3,1]
010110110100 => 101001001011 => [1,1,1,2,1,2,1,1,2]
010111000101 => 101000111010 => [1,1,1,3,3,1,1,1]
010111000110 => 101000111001 => [1,1,1,3,3,2,1]
010111001001 => 101000110110 => [1,1,1,3,2,1,2,1]
010111001100 => 101000110011 => [1,1,1,3,2,2,2]
010111010001 => 101000101110 => [1,1,1,3,1,1,3,1]
010111010010 => 101000101101 => [1,1,1,3,1,1,2,1,1]
010111010100 => 101000101011 => [1,1,1,3,1,1,1,1,2]
010111011000 => 101000100111 => [1,1,1,3,1,2,3]
010111100001 => 101000011110 => [1,1,1,4,4,1]
010111100100 => 101000011011 => [1,1,1,4,2,1,2]
010111110000 => 101000001111 => [1,1,1,5,4]
011001010101 => 100110101010 => [1,2,2,1,1,1,1,1,1,1]
011001010110 => 100110101001 => [1,2,2,1,1,1,1,2,1]
011001011001 => 100110100110 => [1,2,2,1,1,2,2,1]
011001011100 => 100110100011 => [1,2,2,1,1,3,2]
011001100101 => 100110011010 => [1,2,2,2,2,1,1,1]
011001101001 => 100110010110 => [1,2,2,2,1,1,2,1]
011001101100 => 100110010011 => [1,2,2,2,1,2,2]
011001110001 => 100110001110 => [1,2,2,3,3,1]
011001110100 => 100110001011 => [1,2,2,3,1,1,2]
011010010101 => 100101101010 => [1,2,1,1,2,1,1,1,1,1]
011010010110 => 100101101001 => [1,2,1,1,2,1,1,2,1]
011010011010 => 100101100101 => [1,2,1,1,2,2,1,1,1]
011010011100 => 100101100011 => [1,2,1,1,2,3,2]
011010100101 => 100101011010 => [1,2,1,1,1,1,2,1,1,1]
011010100110 => 100101011001 => [1,2,1,1,1,1,2,2,1]
011010101001 => 100101010110 => [1,2,1,1,1,1,1,1,2,1]
011010101010 => 100101010101 => [1,2,1,1,1,1,1,1,1,1,1]
011010101100 => 100101010011 => [1,2,1,1,1,1,1,2,2]
011010110001 => 100101001110 => [1,2,1,1,1,2,3,1]
011010110010 => 100101001101 => [1,2,1,1,1,2,2,1,1]
011010110100 => 100101001011 => [1,2,1,1,1,2,1,1,2]
011010111000 => 100101000111 => [1,2,1,1,1,3,3]
011011000101 => 100100111010 => [1,2,1,2,3,1,1,1]
011011000110 => 100100111001 => [1,2,1,2,3,2,1]
011011001001 => 100100110110 => [1,2,1,2,2,1,2,1]
011011001010 => 100100110101 => [1,2,1,2,2,1,1,1,1]
011011001100 => 100100110011 => [1,2,1,2,2,2,2]
011011010001 => 100100101110 => [1,2,1,2,1,1,3,1]
011011010010 => 100100101101 => [1,2,1,2,1,1,2,1,1]
011011010100 => 100100101011 => [1,2,1,2,1,1,1,1,2]
011011011000 => 100100100111 => [1,2,1,2,1,2,3]
011011100001 => 100100011110 => [1,2,1,3,4,1]
011011100010 => 100100011101 => [1,2,1,3,3,1,1]
011011100100 => 100100011011 => [1,2,1,3,2,1,2]
011011101000 => 100100010111 => [1,2,1,3,1,1,3]
011011110000 => 100100001111 => [1,2,1,4,4]
011100010110 => 100011101001 => [1,3,3,1,1,2,1]
011100011001 => 100011100110 => [1,3,3,2,2,1]
011100011100 => 100011100011 => [1,3,3,3,2]
011100101001 => 100011010110 => [1,3,2,1,1,1,2,1]
011100101010 => 100011010101 => [1,3,2,1,1,1,1,1,1]
011100101100 => 100011010011 => [1,3,2,1,1,2,2]
011100110001 => 100011001110 => [1,3,2,2,3,1]
011100110100 => 100011001011 => [1,3,2,2,1,1,2]
011101000101 => 100010111010 => [1,3,1,1,3,1,1,1]
011101001001 => 100010110110 => [1,3,1,1,2,1,2,1]
011101001100 => 100010110011 => [1,3,1,1,2,2,2]
011101010001 => 100010101110 => [1,3,1,1,1,1,3,1]
011101010010 => 100010101101 => [1,3,1,1,1,1,2,1,1]
011101010100 => 100010101011 => [1,3,1,1,1,1,1,1,2]
011101011000 => 100010100111 => [1,3,1,1,1,2,3]
011101100001 => 100010011110 => [1,3,1,2,4,1]
011101100100 => 100010011011 => [1,3,1,2,2,1,2]
011101110000 => 100010001111 => [1,3,1,3,4]
011110000101 => 100001111010 => [1,4,4,1,1,1]
011110001001 => 100001110110 => [1,4,3,1,2,1]
011110001010 => 100001110101 => [1,4,3,1,1,1,1]
011110001100 => 100001110011 => [1,4,3,2,2]
011110010001 => 100001101110 => [1,4,2,1,3,1]
011110010100 => 100001101011 => [1,4,2,1,1,1,2]
011110100001 => 100001011110 => [1,4,1,1,4,1]
011110100010 => 100001011101 => [1,4,1,1,3,1,1]
011110100100 => 100001011011 => [1,4,1,1,2,1,2]
011110101000 => 100001010111 => [1,4,1,1,1,1,3]
011110110000 => 100001001111 => [1,4,1,2,4]
011111000001 => 100000111110 => [1,5,5,1]
011111000100 => 100000111011 => [1,5,3,1,2]
011111010000 => 100000101111 => [1,5,1,1,4]
0100000100 => 1011111011 => [1,1,5,1,2]
0011100110 => 1100011001 => [2,3,2,2,1]
0011101010 => 1100010101 => [2,3,1,1,1,1,1]
0011101100 => 1100010011 => [2,3,1,2,2]
0001101110 => 1110010001 => [3,2,1,3,1]
0010110110 => 1101001001 => [2,1,1,2,1,2,1]
0011110010 => 1100001101 => [2,4,2,1,1]
0001110110 => 1110001001 => [3,3,1,2,1]
0100111010 => 1011000101 => [1,1,2,3,1,1,1]
0010111010 => 1101000101 => [2,1,1,3,1,1,1]
0011111000 => 1100000111 => [2,5,3]
0001111010 => 1110000101 => [3,4,1,1,1]
0100111100 => 1011000011 => [1,1,2,4,2]
0001111100 => 1110000011 => [3,5,2]
001111000110 => 110000111001 => [2,4,3,2,1]
001111001010 => 110000110101 => [2,4,2,1,1,1,1]
100111001100 => 011000110011 => [1,2,3,2,2,2]
001111001100 => 110000110011 => [2,4,2,2,2]
001011010110 => 110100101001 => [2,1,1,2,1,1,1,2,1]
001111010010 => 110000101101 => [2,4,1,1,2,1,1]
100111010100 => 011000101011 => [1,2,3,1,1,1,1,2]
001111010100 => 110000101011 => [2,4,1,1,1,1,2]
000111010110 => 111000101001 => [3,3,1,1,1,2,1]
001011011010 => 110100100101 => [2,1,1,2,1,2,1,1,1]
100111011000 => 011000100111 => [1,2,3,1,2,3]
001111011000 => 110000100111 => [2,4,1,2,3]
100011011100 => 011100100011 => [1,3,2,1,3,2]
010011011100 => 101100100011 => [1,1,2,2,1,3,2]
001011011100 => 110100100011 => [2,1,1,2,1,3,2]
000111011100 => 111000100011 => [3,3,1,3,2]
000011011110 => 111100100001 => [4,2,1,4,1]
001101100110 => 110010011001 => [2,2,1,2,2,2,1]
001101101010 => 110010010101 => [2,2,1,2,1,1,1,1,1]
100101101100 => 011010010011 => [1,2,1,1,2,1,2,2]
001101101100 => 110010010011 => [2,2,1,2,1,2,2]
001011100110 => 110100011001 => [2,1,1,3,2,2,1]
001111100010 => 110000011101 => [2,5,3,1,1]
100111100100 => 011000011011 => [1,2,4,2,1,2]
001111100100 => 110000011011 => [2,5,2,1,2]
010011101010 => 101100010101 => [1,1,2,3,1,1,1,1,1]
001011101010 => 110100010101 => [2,1,1,3,1,1,1,1,1]
100111101000 => 011000010111 => [1,2,4,1,1,3]
001111101000 => 110000010111 => [2,5,1,1,3]
000111101010 => 111000010101 => [3,4,1,1,1,1,1]
100011101100 => 011100010011 => [1,3,3,1,2,2]
010011101100 => 101100010011 => [1,1,2,3,1,2,2]
001011101100 => 110100010011 => [2,1,1,3,1,2,2]
000111101100 => 111000010011 => [3,4,1,2,2]
000011101110 => 111100010001 => [4,3,1,3,1]
101001110100 => 010110001011 => [1,1,1,2,3,1,1,2]
001001110110 => 110110001001 => [2,1,2,3,1,2,1]
001101110010 => 110010001101 => [2,2,1,3,2,1,1]
100101110100 => 011010001011 => [1,2,1,1,3,1,1,2]
001101110100 => 110010001011 => [2,2,1,3,1,1,2]
000101110110 => 111010001001 => [3,1,1,3,1,2,1]
001011110010 => 110100001101 => [2,1,1,4,2,1,1]
100111110000 => 011000001111 => [1,2,5,4]
001111110000 => 110000001111 => [2,6,4]
100011110100 => 011100001011 => [1,3,4,1,1,2]
010011110100 => 101100001011 => [1,1,2,4,1,1,2]
001011110100 => 110100001011 => [2,1,1,4,1,1,2]
000111110100 => 111000001011 => [3,5,1,1,2]
000011110110 => 111100001001 => [4,4,1,2,1]
110001111000 => 001110000111 => [2,3,4,3]
101001111000 => 010110000111 => [1,1,1,2,4,3]
001001111010 => 110110000101 => [2,1,2,4,1,1,1]
100101111000 => 011010000111 => [1,2,1,1,4,3]
001101111000 => 110010000111 => [2,2,1,4,3]
100011111000 => 011100000111 => [1,3,5,3]
001011111000 => 110100000111 => [2,1,1,5,3]
000011111010 => 111100000101 => [4,5,1,1,1]
010001111100 => 101110000011 => [1,1,3,5,2]
001001111100 => 110110000011 => [2,1,2,5,2]
000101111100 => 111010000011 => [3,1,1,5,2]
000011111100 => 111100000011 => [4,6,2]
0000000101 => 1111111010 => [7,1,1,1]
0000001101 => 1111110010 => [6,2,1,1]
0000011101 => 1111100010 => [5,3,1,1]
0001111101 => 1110000010 => [3,5,1,1]
0011111101 => 1100000010 => [2,6,1,1]
00000000101 => 11111111010 => [8,1,1,1]
0000001001 => 1111110110 => [6,1,2,1]
00000001101 => 11111110010 => [7,2,1,1]
0000010101 => 1111101010 => [5,1,1,1,1,1]
00000011101 => 11111100010 => [6,3,1,1]
0000101101 => 1111010010 => [4,1,1,2,1,1]
00000111101 => 11111000010 => [5,4,1,1]
00001111101 => 11110000010 => [4,5,1,1]
0010111101 => 1101000010 => [2,1,1,4,1,1]
00011111101 => 11100000010 => [3,6,1,1]
0101111101 => 1010000010 => [1,1,1,5,1,1]
00111111101 => 11000000010 => [2,7,1,1]
11111111101 => 00000000010 => [9,1,1]
100101010101 => 011010101010 => [1,2,1,1,1,1,1,1,1,1,1]
100101011001 => 011010100110 => [1,2,1,1,1,1,2,2,1]
100101100101 => 011010011010 => [1,2,1,1,2,2,1,1,1]
100101101001 => 011010010110 => [1,2,1,1,2,1,1,2,1]
100101110001 => 011010001110 => [1,2,1,1,3,3,1]
100110101001 => 011001010110 => [1,2,2,1,1,1,1,2,1]
100111000101 => 011000111010 => [1,2,3,3,1,1,1]
100111001001 => 011000110110 => [1,2,3,2,1,2,1]
100111010001 => 011000101110 => [1,2,3,1,1,3,1]
101001010101 => 010110101010 => [1,1,1,2,1,1,1,1,1,1,1]
101001101001 => 010110010110 => [1,1,1,2,2,1,1,2,1]
101010100101 => 010101011010 => [1,1,1,1,1,1,1,2,1,1,1]
101010101001 => 010101010110 => [1,1,1,1,1,1,1,1,1,2,1]
101010110001 => 010101001110 => [1,1,1,1,1,1,2,3,1]
101011001001 => 010100110110 => [1,1,1,1,2,2,1,2,1]
101011100001 => 010100011110 => [1,1,1,1,3,4,1]
101100010101 => 010011101010 => [1,1,2,3,1,1,1,1,1]
101101000101 => 010010111010 => [1,1,2,1,1,3,1,1,1]
101101001001 => 010010110110 => [1,1,2,1,1,2,1,2,1]
101101010001 => 010010101110 => [1,1,2,1,1,1,1,3,1]
101110001001 => 010001110110 => [1,1,3,3,1,2,1]
101110100001 => 010001011110 => [1,1,3,1,1,4,1]
110001010101 => 001110101010 => [2,3,1,1,1,1,1,1,1]
110001011001 => 001110100110 => [2,3,1,1,2,2,1]
110001100101 => 001110011010 => [2,3,2,2,1,1,1]
110001101001 => 001110010110 => [2,3,2,1,1,2,1]
110001110001 => 001110001110 => [2,3,3,3,1]
110010010101 => 001101101010 => [2,2,1,2,1,1,1,1,1]
110010011001 => 001101100110 => [2,2,1,2,2,2,1]
110010100101 => 001101011010 => [2,2,1,1,1,2,1,1,1]
110010101001 => 001101010110 => [2,2,1,1,1,1,1,2,1]
110010110001 => 001101001110 => [2,2,1,1,2,3,1]
110011000101 => 001100111010 => [2,2,2,3,1,1,1]
110011001001 => 001100110110 => [2,2,2,2,1,2,1]
110011010001 => 001100101110 => [2,2,2,1,1,3,1]
110011100001 => 001100011110 => [2,2,3,4,1]
110100010101 => 001011101010 => [2,1,1,3,1,1,1,1,1]
110100011001 => 001011100110 => [2,1,1,3,2,2,1]
110100100101 => 001011011010 => [2,1,1,2,1,2,1,1,1]
110100101001 => 001011010110 => [2,1,1,2,1,1,1,2,1]
110100110001 => 001011001110 => [2,1,1,2,2,3,1]
110101000101 => 001010111010 => [2,1,1,1,1,3,1,1,1]
110101001001 => 001010110110 => [2,1,1,1,1,2,1,2,1]
110101010001 => 001010101110 => [2,1,1,1,1,1,1,3,1]
110101100001 => 001010011110 => [2,1,1,1,2,4,1]
110110000101 => 001001111010 => [2,1,2,4,1,1,1]
110110001001 => 001001110110 => [2,1,2,3,1,2,1]
110110010001 => 001001101110 => [2,1,2,2,1,3,1]
110110100001 => 001001011110 => [2,1,2,1,1,4,1]
110111000001 => 001000111110 => [2,1,3,5,1]
111000010101 => 000111101010 => [3,4,1,1,1,1,1]
111000101001 => 000111010110 => [3,3,1,1,1,2,1]
111001000101 => 000110111010 => [3,2,1,3,1,1,1]
111001001001 => 000110110110 => [3,2,1,2,1,2,1]
111001010001 => 000110101110 => [3,2,1,1,1,3,1]
111010001001 => 000101110110 => [3,1,1,3,1,2,1]
111010100001 => 000101011110 => [3,1,1,1,1,4,1]
111100000101 => 000011111010 => [4,5,1,1,1]
111100001001 => 000011110110 => [4,4,1,2,1]
111100010001 => 000011101110 => [4,3,1,3,1]
111100100001 => 000011011110 => [4,2,1,4,1]
111101000001 => 000010111110 => [4,1,1,5,1]
0111000011 => 1000111100 => [1,3,4,2]
110100000111 => 001011111000 => [2,1,1,5,3]
110110000011 => 001001111100 => [2,1,2,5,2]
110000111100 => 001111000011 => [2,4,4,2]
110000001111 => 001111110000 => [2,6,4]
011100000111 => 100011111000 => [1,3,5,3]
111010000011 => 000101111100 => [3,1,1,5,2]
111000011100 => 000111100011 => [3,4,3,2]
001111000011 => 110000111100 => [2,4,4,2]
011110000011 => 100001111100 => [1,4,5,2]
111100000011 => 000011111100 => [4,6,2]
001111100001 => 110000011110 => [2,5,4,1]
01111111011 => 10000000100 => [1,7,1,2]
01111110101 => 10000001010 => [1,6,1,1,1,1]
01111101001 => 10000010110 => [1,5,1,1,2,1]
0011101101 => 1100010010 => [2,3,1,2,1,1]
01111010001 => 10000101110 => [1,4,1,1,3,1]
0011011001 => 1100100110 => [2,2,1,2,2,1]
01110100001 => 10001011110 => [1,3,1,1,4,1]
0010110001 => 1101001110 => [2,1,1,2,3,1]
01101000001 => 10010111110 => [1,2,1,1,5,1]
01010000001 => 10101111110 => [1,1,1,1,6,1]
0001000001 => 1110111110 => [3,1,5,1]
00100000001 => 11011111110 => [2,1,7,1]
0111010101 => 1000101010 => [1,3,1,1,1,1,1,1]
0111010011 => 1000101100 => [1,3,1,1,2,2]
0111001101 => 1000110010 => [1,3,2,2,1,1]
0111000111 => 1000111000 => [1,3,3,3]
0011110101 => 1100001010 => [2,4,1,1,1,1]
0011110011 => 1100001100 => [2,4,2,2]
0011111001 => 1100000110 => [2,5,2,1]
0000111111 => 1111000000 => [4,6]
110101010101 => 001010101010 => [2,1,1,1,1,1,1,1,1,1,1]
110101010011 => 001010101100 => [2,1,1,1,1,1,1,2,2]
110101001101 => 001010110010 => [2,1,1,1,1,2,2,1,1]
110101000111 => 001010111000 => [2,1,1,1,1,3,3]
110100110101 => 001011001010 => [2,1,1,2,2,1,1,1,1]
110100110011 => 001011001100 => [2,1,1,2,2,2,2]
110100011101 => 001011100010 => [2,1,1,3,3,1,1]
110100001111 => 001011110000 => [2,1,1,4,4]
110011010101 => 001100101010 => [2,2,2,1,1,1,1,1,1]
110011010011 => 001100101100 => [2,2,2,1,1,2,2]
110011001101 => 001100110010 => [2,2,2,2,2,1,1]
110011000111 => 001100111000 => [2,2,2,3,3]
110001110101 => 001110001010 => [2,3,3,1,1,1,1]
110001110011 => 001110001100 => [2,3,3,2,2]
110000111101 => 001111000010 => [2,4,4,1,1]
110000011111 => 001111100000 => [2,5,5]
11111000010 => 00000111101 => [5,4,1,1]
11111110010 => 00000001101 => [7,2,1,1]
0001101100 => 1110010011 => [3,2,1,2,2]
0100011100 => 1011100011 => [1,1,3,3,2]
0010011100 => 1101100011 => [2,1,2,3,2]
0001011100 => 1110100011 => [3,1,1,3,2]
0000111100 => 1111000011 => [4,4,2]
0001101010 => 1110010101 => [3,2,1,1,1,1,1]
0010011010 => 1101100101 => [2,1,2,2,1,1,1]
0000111010 => 1111000101 => [4,3,1,1,1]
0011000110 => 1100111001 => [2,2,3,2,1]
0010100110 => 1101011001 => [2,1,1,1,2,2,1]
0010010110 => 1101101001 => [2,1,2,1,1,2,1]
0001010110 => 1110101001 => [3,1,1,1,1,2,1]
0000110110 => 1111001001 => [4,2,1,2,1]
0010001110 => 1101110001 => [2,1,3,3,1]
000111001100 => 111000110011 => [3,3,2,2,2]
000110101100 => 111001010011 => [3,2,1,1,1,2,2]
010001101100 => 101110010011 => [1,1,3,2,1,2,2]
001001101100 => 110110010011 => [2,1,2,2,1,2,2]
000101101100 => 111010010011 => [3,1,1,2,1,2,2]
000011101100 => 111100010011 => [4,3,1,2,2]
010100011100 => 101011100011 => [1,1,1,1,3,3,2]
001100011100 => 110011100011 => [2,2,3,3,2]
010010011100 => 101101100011 => [1,1,2,1,2,3,2]
001010011100 => 110101100011 => [2,1,1,1,2,3,2]
000110011100 => 111001100011 => [3,2,2,3,2]
010001011100 => 101110100011 => [1,1,3,1,1,3,2]
001001011100 => 110110100011 => [2,1,2,1,1,3,2]
000101011100 => 111010100011 => [3,1,1,1,1,3,2]
000011011100 => 111100100011 => [4,2,1,3,2]
001000111100 => 110111000011 => [2,1,3,4,2]
000100111100 => 111011000011 => [3,1,2,4,2]
000010111100 => 111101000011 => [4,1,1,4,2]
000001111100 => 111110000011 => [5,5,2]
000110110010 => 111001001101 => [3,2,1,2,2,1,1]
001001110010 => 110110001101 => [2,1,2,3,2,1,1]
000101110010 => 111010001101 => [3,1,1,3,2,1,1]
000011110010 => 111100001101 => [4,4,2,1,1]
000111001010 => 111000110101 => [3,3,2,1,1,1,1]
000110101010 => 111001010101 => [3,2,1,1,1,1,1,1,1]
001001101010 => 110110010101 => [2,1,2,2,1,1,1,1,1]
000101101010 => 111010010101 => [3,1,1,2,1,1,1,1,1]
000011101010 => 111100010101 => [4,3,1,1,1,1,1]
001100011010 => 110011100101 => [2,2,3,2,1,1,1]
001010011010 => 110101100101 => [2,1,1,1,2,2,1,1,1]
000110011010 => 111001100101 => [3,2,2,2,1,1,1]
001001011010 => 110110100101 => [2,1,2,1,1,2,1,1,1]
000101011010 => 111010100101 => [3,1,1,1,1,2,1,1,1]
000011011010 => 111100100101 => [4,2,1,2,1,1,1]
001000111010 => 110111000101 => [2,1,3,3,1,1,1]
000100111010 => 111011000101 => [3,1,2,3,1,1,1]
000010111010 => 111101000101 => [4,1,1,3,1,1,1]
000001111010 => 111110000101 => [5,4,1,1,1]
010011000110 => 101100111001 => [1,1,2,2,3,2,1]
001011000110 => 110100111001 => [2,1,1,2,3,2,1]
000111000110 => 111000111001 => [3,3,3,2,1]
001100100110 => 110011011001 => [2,2,2,1,2,2,1]
001010100110 => 110101011001 => [2,1,1,1,1,1,2,2,1]
000110100110 => 111001011001 => [3,2,1,1,2,2,1]
010001100110 => 101110011001 => [1,1,3,2,2,2,1]
001001100110 => 110110011001 => [2,1,2,2,2,2,1]
000101100110 => 111010011001 => [3,1,1,2,2,2,1]
000011100110 => 111100011001 => [4,3,2,2,1]
001100010110 => 110011101001 => [2,2,3,1,1,2,1]
001010010110 => 110101101001 => [2,1,1,1,2,1,1,2,1]
000110010110 => 111001101001 => [3,2,2,1,1,2,1]
001001010110 => 110110101001 => [2,1,2,1,1,1,1,2,1]
000101010110 => 111010101001 => [3,1,1,1,1,1,1,2,1]
000011010110 => 111100101001 => [4,2,1,1,1,2,1]
001000110110 => 110111001001 => [2,1,3,2,1,2,1]
000100110110 => 111011001001 => [3,1,2,2,1,2,1]
000010110110 => 111101001001 => [4,1,1,2,1,2,1]
000001110110 => 111110001001 => [5,3,1,2,1]
010100001110 => 101011110001 => [1,1,1,1,4,3,1]
001100001110 => 110011110001 => [2,2,4,3,1]
010010001110 => 101101110001 => [1,1,2,1,3,3,1]
001010001110 => 110101110001 => [2,1,1,1,3,3,1]
000110001110 => 111001110001 => [3,2,3,3,1]
010001001110 => 101110110001 => [1,1,3,1,2,3,1]
001001001110 => 110110110001 => [2,1,2,1,2,3,1]
000101001110 => 111010110001 => [3,1,1,1,2,3,1]
000011001110 => 111100110001 => [4,2,2,3,1]
001000101110 => 110111010001 => [2,1,3,1,1,3,1]
000100101110 => 111011010001 => [3,1,2,1,1,3,1]
000010101110 => 111101010001 => [4,1,1,1,1,3,1]
000001101110 => 111110010001 => [5,2,1,3,1]
001000011110 => 110111100001 => [2,1,4,4,1]
000100011110 => 111011100001 => [3,1,3,4,1]
000010011110 => 111101100001 => [4,1,2,4,1]
000001011110 => 111110100001 => [5,1,1,4,1]
000000111110 => 111111000001 => [6,5,1]
10000000001 => 01111111110 => [1,9,1]
11000000001 => 00111111110 => [2,8,1]
11100000001 => 00011111110 => [3,7,1]
11110000001 => 00001111110 => [4,6,1]
11111000001 => 00000111110 => [5,5,1]
11111100001 => 00000011110 => [6,4,1]
11111110001 => 00000001110 => [7,3,1]
11111111001 => 00000000110 => [8,2,1]
11111111111 => 00000000000 => [11]
0110011011 => 1001100100 => [1,2,2,2,1,2]
0100111011 => 1011000100 => [1,1,2,3,1,2]
0110010011 => 1001101100 => [1,2,2,1,2,2]
0110110011 => 1001001100 => [1,2,1,2,2,2]
0101110011 => 1010001100 => [1,1,1,3,2,2]
0110010111 => 1001101000 => [1,2,2,1,1,3]
0100110111 => 1011001000 => [1,1,2,2,1,3]
0110100111 => 1001011000 => [1,2,1,1,2,3]
0101100111 => 1010011000 => [1,1,1,2,2,3]
0101001111 => 1010110000 => [1,1,1,1,2,4]
100100111001 => 011011000110 => [1,2,1,2,3,2,1]
101000111001 => 010111000110 => [1,1,1,3,3,2,1]
100110011011 => 011001100100 => [1,2,2,2,2,1,2]
100100011011 => 011011100100 => [1,2,1,3,2,1,2]
101100011011 => 010011100100 => [1,1,2,3,2,1,2]
101000011011 => 010111100100 => [1,1,1,4,2,1,2]
100100111011 => 011011000100 => [1,2,1,2,3,1,2]
101000111011 => 010111000100 => [1,1,1,3,3,1,2]
100101111011 => 011010000100 => [1,2,1,1,4,1,2]
100110010011 => 011001101100 => [1,2,2,2,1,2,2]
101100010011 => 010011101100 => [1,1,2,3,1,2,2]
100110110011 => 011001001100 => [1,2,2,1,2,2,2]
100100110011 => 011011001100 => [1,2,1,2,2,2,2]
101100110011 => 010011001100 => [1,1,2,2,2,2,2]
101000110011 => 010111001100 => [1,1,1,3,2,2,2]
100101110011 => 011010001100 => [1,2,1,1,3,2,2]
101101110011 => 010010001100 => [1,1,2,1,3,2,2]
101001110011 => 010110001100 => [1,1,1,2,3,2,2]
100110100011 => 011001011100 => [1,2,2,1,1,3,2]
101100100011 => 010011011100 => [1,1,2,2,1,3,2]
100101100011 => 011010011100 => [1,2,1,1,2,3,2]
101001100011 => 010110011100 => [1,1,1,2,2,3,2]
100110010111 => 011001101000 => [1,2,2,2,1,1,3]
100100010111 => 011011101000 => [1,2,1,3,1,1,3]
101100010111 => 010011101000 => [1,1,2,3,1,1,3]
100100110111 => 011011001000 => [1,2,1,2,2,1,3]
101000110111 => 010111001000 => [1,1,1,3,2,1,3]
100110100111 => 011001011000 => [1,2,2,1,1,2,3]
100100100111 => 011011011000 => [1,2,1,2,1,2,3]
101100100111 => 010011011000 => [1,1,2,2,1,2,3]
101000100111 => 010111011000 => [1,1,1,3,1,2,3]
100101100111 => 011010011000 => [1,2,1,1,2,2,3]
101001100111 => 010110011000 => [1,1,1,2,2,2,3]
100101000111 => 011010111000 => [1,2,1,1,1,3,3]
101101000111 => 010010111000 => [1,1,2,1,1,3,3]
101011000111 => 010100111000 => [1,1,1,1,2,3,3]
101010000111 => 010101111000 => [1,1,1,1,1,4,3]
100100101111 => 011011010000 => [1,2,1,2,1,1,4]
101000101111 => 010111010000 => [1,1,1,3,1,1,4]
100101101111 => 011010010000 => [1,2,1,1,2,1,4]
100101001111 => 011010110000 => [1,2,1,1,1,2,4]
101101001111 => 010010110000 => [1,1,2,1,1,2,4]
101001001111 => 010110110000 => [1,1,1,2,1,2,4]
101010001111 => 010101110000 => [1,1,1,1,1,3,4]
100110101010 => 011001010101 => [1,2,2,1,1,1,1,1,1,1]
101001101010 => 010110010101 => [1,1,1,2,2,1,1,1,1,1]
100101101010 => 011010010101 => [1,2,1,1,2,1,1,1,1,1]
100011101010 => 011100010101 => [1,3,3,1,1,1,1,1]
101010011010 => 010101100101 => [1,1,1,1,1,2,2,1,1,1]
100110011010 => 011001100101 => [1,2,2,2,2,1,1,1]
101001011010 => 010110100101 => [1,1,1,2,1,1,2,1,1,1]
100101011010 => 011010100101 => [1,2,1,1,1,1,2,1,1,1]
101000111010 => 010111000101 => [1,1,1,3,3,1,1,1]
101010100110 => 010101011001 => [1,1,1,1,1,1,1,2,2,1]
100110100110 => 011001011001 => [1,2,2,1,1,2,2,1]
101001100110 => 010110011001 => [1,1,1,2,2,2,2,1]
100101100110 => 011010011001 => [1,2,1,1,2,2,2,1]
101010010110 => 010101101001 => [1,1,1,1,1,2,1,1,2,1]
100110010110 => 011001101001 => [1,2,2,2,1,1,2,1]
101001010110 => 010110101001 => [1,1,1,2,1,1,1,1,2,1]
101010001110 => 010101110001 => [1,1,1,1,1,3,3,1]
100011101001 => 011100010110 => [1,3,3,1,1,2,1]
100010111001 => 011101000110 => [1,3,1,1,3,2,1]
100011010101 => 011100101010 => [1,3,2,1,1,1,1,1,1]
100100110101 => 011011001010 => [1,2,1,2,2,1,1,1,1]
100001110101 => 011110001010 => [1,4,3,1,1,1,1]
101010001101 => 010101110010 => [1,1,1,1,1,3,2,1,1]
100101001101 => 011010110010 => [1,2,1,1,1,2,2,1,1]
101000101101 => 010111010010 => [1,1,1,3,1,1,2,1,1]
100100101101 => 011011010010 => [1,2,1,2,1,1,2,1,1]
100010101101 => 011101010010 => [1,3,1,1,1,1,2,1,1]
100100011101 => 011011100010 => [1,2,1,3,3,1,1]
100001011101 => 011110100010 => [1,4,1,1,3,1,1]
101010100011 => 010101011100 => [1,1,1,1,1,1,1,3,2]
100011100011 => 011100011100 => [1,3,3,3,2]
101010010011 => 010101101100 => [1,1,1,1,1,2,1,2,2]
101001010011 => 010110101100 => [1,1,1,2,1,1,1,2,2]
100101010011 => 011010101100 => [1,2,1,1,1,1,1,2,2]
100011010011 => 011100101100 => [1,3,2,1,1,2,2]
100010110011 => 011101001100 => [1,3,1,1,2,2,2]
100001110011 => 011110001100 => [1,4,3,2,2]
101010001011 => 010101110100 => [1,1,1,1,1,3,1,1,2]
100110001011 => 011001110100 => [1,2,2,3,1,1,2]
101001001011 => 010110110100 => [1,1,1,2,1,2,1,1,2]
100101001011 => 011010110100 => [1,2,1,1,1,2,1,1,2]
100011001011 => 011100110100 => [1,3,2,2,1,1,2]
101000101011 => 010111010100 => [1,1,1,3,1,1,1,1,2]
100100101011 => 011011010100 => [1,2,1,2,1,1,1,1,2]
100010101011 => 011101010100 => [1,3,1,1,1,1,1,1,2]
100001101011 => 011110010100 => [1,4,2,1,1,1,2]
100010011011 => 011101100100 => [1,3,1,2,2,1,2]
100001011011 => 011110100100 => [1,4,1,1,2,1,2]
100000111011 => 011111000100 => [1,5,3,1,2]
100010100111 => 011101011000 => [1,3,1,1,1,2,3]
100001010111 => 011110101000 => [1,4,1,1,1,1,3]
101000001111 => 010111110000 => [1,1,1,5,4]
100100001111 => 011011110000 => [1,2,1,4,4]
100010001111 => 011101110000 => [1,3,1,3,4]
100001001111 => 011110110000 => [1,4,1,2,4]
100000101111 => 011111010000 => [1,5,1,1,4]
01011110111 => 10100001000 => [1,1,1,4,1,3]
01101010101 => 10010101010 => [1,2,1,1,1,1,1,1,1,1]
01110111101 => 10001000010 => [1,3,1,4,1,1]
01111011101 => 10000100010 => [1,4,1,3,1,1]
01111010111 => 10000101000 => [1,4,1,1,1,3]
01111101111 => 10000010000 => [1,5,1,4]
10110101010 => 01001010101 => [1,1,2,1,1,1,1,1,1,1]
10111011101 => 01000100010 => [1,1,3,1,3,1,1]
10111010101 => 01000101010 => [1,1,3,1,1,1,1,1,1]
10111110111 => 01000001000 => [1,1,5,1,3]
10101101010 => 01010010101 => [1,1,1,1,2,1,1,1,1,1]
10101110101 => 01010001010 => [1,1,1,1,3,1,1,1,1]
10101011101 => 01010100010 => [1,1,1,1,1,1,3,1,1]
10101110111 => 01010001000 => [1,1,1,1,3,1,3]
10111010111 => 01000101000 => [1,1,3,1,1,1,3]
10111101111 => 01000010000 => [1,1,4,1,4]
11011101101 => 00100010010 => [2,1,3,1,2,1,1]
11011011101 => 00100100010 => [2,1,2,1,3,1,1]
11011011011 => 00100100100 => [2,1,2,1,2,1,2]
11011101011 => 00100010100 => [2,1,3,1,1,1,2]
11011110111 => 00100001000 => [2,1,4,1,3]
11010111011 => 00101000100 => [2,1,1,1,3,1,2]
11010110111 => 00101001000 => [2,1,1,1,2,1,3]
11011010111 => 00100101000 => [2,1,2,1,1,1,3]
11011101111 => 00100010000 => [2,1,3,1,4]
11101111010 => 00010000101 => [3,1,4,1,1,1]
11101111101 => 00010000010 => [3,1,5,1,1]
11101110101 => 00010001010 => [3,1,3,1,1,1,1]
11101111011 => 00010000100 => [3,1,4,1,2]
11101101101 => 00010010010 => [3,1,2,1,2,1,1]
11101101011 => 00010010100 => [3,1,2,1,1,1,2]
11101110111 => 00010001000 => [3,1,3,1,3]
11101011101 => 00010100010 => [3,1,1,1,3,1,1]
11101011011 => 00010100100 => [3,1,1,1,2,1,2]
11101010111 => 00010101000 => [3,1,1,1,1,1,3]
11101101111 => 00010010000 => [3,1,2,1,4]
11110111101 => 00001000010 => [4,1,4,1,1]
11110111011 => 00001000100 => [4,1,3,1,2]
11110110111 => 00001001000 => [4,1,2,1,3]
11110101111 => 00001010000 => [4,1,1,1,4]
11111011111 => 00000100000 => [5,1,5]
01000000111111 => 10111111000000 => [1,1,6,6]
01000001011111 => 10111110100000 => [1,1,5,1,1,5]
01000001101111 => 10111110010000 => [1,1,5,2,1,4]
01000001110111 => 10111110001000 => [1,1,5,3,1,3]
01000100011111 => 10111011100000 => [1,1,3,1,3,5]
01000001111011 => 10111110000100 => [1,1,5,4,1,2]
01000100101111 => 10111011010000 => [1,1,3,1,2,1,1,4]
00110000011111 => 11001111100000 => [2,2,5,5]
01001000011111 => 10110111100000 => [1,1,2,1,4,5]
0100001000111111 => 1011110111000000 => [1,1,4,1,3,6]
0000001100 => 1111110011 => [6,2,2]
0000110011 => 1111001100 => [4,2,2,2]
0011001111 => 1100110000 => [2,2,2,4]
0000110100 => 1111001011 => [4,2,1,1,2]
0000000011 => 1111111100 => [8,2]
0000011011 => 1111100100 => [5,2,1,2]
0000110101 => 1111001010 => [4,2,1,1,1,1]
10001010101 => 01110101010 => [1,3,1,1,1,1,1,1,1]
0010000010 => 1101111101 => [2,1,5,1,1]
0111001011 => 1000110100 => [1,3,2,1,1,2]
11000000000 => 00111111111 => [2,9]
0110001011 => 1001110100 => [1,2,3,1,1,2]
0110000111 => 1001111000 => [1,2,4,3]
110000111001 => 001111000110 => [2,4,3,2,1]
110000110101 => 001111001010 => [2,4,2,1,1,1,1]
110010001101 => 001101110010 => [2,2,1,3,2,1,1]
110100001101 => 001011110010 => [2,1,1,4,2,1,1]
110000101101 => 001111010010 => [2,4,1,1,2,1,1]
110000011101 => 001111100010 => [2,5,3,1,1]
011100100011 => 100011011100 => [1,3,2,1,3,2]
011010010011 => 100101101100 => [1,2,1,1,2,1,2,2]
011100010011 => 100011101100 => [1,3,3,1,2,2]
011000110011 => 100111001100 => [1,2,3,2,2,2]
010110001011 => 101001110100 => [1,1,1,2,3,1,1,2]
011010001011 => 100101110100 => [1,2,1,1,3,1,1,2]
011100001011 => 100011110100 => [1,3,4,1,1,2]
011000101011 => 100111010100 => [1,2,3,1,1,1,1,2]
011000011011 => 100111100100 => [1,2,4,2,1,2]
101110000011 => 010001111100 => [1,1,3,5,2]
110100100011 => 001011011100 => [2,1,1,2,1,3,2]
111000100011 => 000111011100 => [3,3,1,3,2]
110010010011 => 001101101100 => [2,2,1,2,1,2,2]
110100010011 => 001011101100 => [2,1,1,3,1,2,2]
111000010011 => 000111101100 => [3,4,1,2,2]
110000110011 => 001111001100 => [2,4,2,2,2]
101100001011 => 010011110100 => [1,1,2,4,1,1,2]
110010001011 => 001101110100 => [2,2,1,3,1,1,2]
110100001011 => 001011110100 => [2,1,1,4,1,1,2]
111000001011 => 000111110100 => [3,5,1,1,2]
110000101011 => 001111010100 => [2,4,1,1,1,1,2]
110000011011 => 001111100100 => [2,5,2,1,2]
001110000111 => 110001111000 => [2,3,4,3]
010110000111 => 101001111000 => [1,1,1,2,4,3]
011010000111 => 100101111000 => [1,2,1,1,4,3]
011000100111 => 100111011000 => [1,2,3,1,2,3]
011000010111 => 100111101000 => [1,2,4,1,1,3]
110010000111 => 001101111000 => [2,2,1,4,3]
110000100111 => 001111011000 => [2,4,1,2,3]
110000010111 => 001111101000 => [2,5,1,1,3]
011000001111 => 100111110000 => [1,2,5,4]
00101000101111 => 11010111010000 => [2,1,1,1,3,1,1,4]
0011011010 => 1100100101 => [2,2,1,2,1,1,1]
0011010110 => 1100101001 => [2,2,1,1,1,2,1]
0100110110 => 1011001001 => [1,1,2,2,1,2,1]
0110001110 => 1001110001 => [1,2,3,3,1]
0101001110 => 1010110001 => [1,1,1,1,2,3,1]
0011001110 => 1100110001 => [2,2,2,3,1]
0100101110 => 1011010001 => [1,1,2,1,1,3,1]
0100011110 => 1011100001 => [1,1,3,4,1]
0010011110 => 1101100001 => [2,1,2,4,1]
001110101010 => 110001010101 => [2,3,1,1,1,1,1,1,1]
001110011010 => 110001100101 => [2,3,2,2,1,1,1]
001101011010 => 110010100101 => [2,2,1,1,1,2,1,1,1]
011000111010 => 100111000101 => [1,2,3,3,1,1,1]
001100111010 => 110011000101 => [2,2,2,3,1,1,1]
010010111010 => 101101000101 => [1,1,2,1,1,3,1,1,1]
001010111010 => 110101000101 => [2,1,1,1,1,3,1,1,1]
000110111010 => 111001000101 => [3,2,1,3,1,1,1]
001110100110 => 110001011001 => [2,3,1,1,2,2,1]
001110010110 => 110001101001 => [2,3,2,1,1,2,1]
001101010110 => 110010101001 => [2,2,1,1,1,1,1,2,1]
010011010110 => 101100101001 => [1,1,2,2,1,1,1,2,1]
011000110110 => 100111001001 => [1,2,3,2,1,2,1]
010100110110 => 101011001001 => [1,1,1,1,2,2,1,2,1]
001100110110 => 110011001001 => [2,2,2,2,1,2,1]
010010110110 => 101101001001 => [1,1,2,1,1,2,1,2,1]
001010110110 => 110101001001 => [2,1,1,1,1,2,1,2,1]
000110110110 => 111001001001 => [3,2,1,2,1,2,1]
010001110110 => 101110001001 => [1,1,3,3,1,2,1]
011010001110 => 100101110001 => [1,2,1,1,3,3,1]
001110001110 => 110001110001 => [2,3,3,3,1]
010101001110 => 101010110001 => [1,1,1,1,1,1,2,3,1]
001101001110 => 110010110001 => [2,2,1,1,2,3,1]
001011001110 => 110100110001 => [2,1,1,2,2,3,1]
011000101110 => 100111010001 => [1,2,3,1,1,3,1]
001100101110 => 110011010001 => [2,2,2,1,1,3,1]
010010101110 => 101101010001 => [1,1,2,1,1,1,1,3,1]
001010101110 => 110101010001 => [2,1,1,1,1,1,1,3,1]
000110101110 => 111001010001 => [3,2,1,1,1,3,1]
001001101110 => 110110010001 => [2,1,2,2,1,3,1]
010100011110 => 101011100001 => [1,1,1,1,3,4,1]
001100011110 => 110011100001 => [2,2,3,4,1]
001010011110 => 110101100001 => [2,1,1,1,2,4,1]
010001011110 => 101110100001 => [1,1,3,1,1,4,1]
001001011110 => 110110100001 => [2,1,2,1,1,4,1]
000101011110 => 111010100001 => [3,1,1,1,1,4,1]
001000111110 => 110111000001 => [2,1,3,5,1]
000010111110 => 111101000001 => [4,1,1,5,1]
00101000011111 => 11010111100000 => [2,1,1,1,4,5]
00100100011111 => 11011011100000 => [2,1,2,1,3,5]
00100001101111 => 11011110010000 => [2,1,4,2,1,4]
00100001011111 => 11011110100000 => [2,1,4,1,1,5]
00100000111111 => 11011111000000 => [2,1,5,6]
00011000011111 => 11100111100000 => [3,2,4,5]
00010100011111 => 11101011100000 => [3,1,1,1,3,5]
00010001011111 => 11101110100000 => [3,1,3,1,1,5]
00010000111111 => 11101111000000 => [3,1,4,6]
00001001011111 => 11110110100000 => [4,1,2,1,1,5]
00001000111111 => 11110111000000 => [4,1,3,6]
00000100111111 => 11111011000000 => [5,1,2,6]
00000001111111 => 11111110000000 => [7,7]
0101000000 => 1010111111 => [1,1,1,1,6]
0001010000 => 1110101111 => [3,1,1,1,4]
0001000100 => 1110111011 => [3,1,3,1,2]
0001010101 => 1110101010 => [3,1,1,1,1,1,1,1]
0110110101 => 1001001010 => [1,2,1,2,1,1,1,1]
0101011011 => 1010100100 => [1,1,1,1,1,2,1,2]
0001001011 => 1110110100 => [3,1,2,1,1,2]
0110101011 => 1001010100 => [1,2,1,1,1,1,1,2]
011010010000 => 100101101111 => [1,2,1,1,2,1,4]
010010110000 => 101101001111 => [1,1,2,1,1,2,4]
011010000100 => 100101111011 => [1,2,1,1,4,1,2]
010010001100 => 101101110011 => [1,1,2,1,3,2,2]
0111111100 => 1000000011 => [1,7,2]
0010000000 => 1101111111 => [2,1,7]
0110100000 => 1001011111 => [1,2,1,1,5]
0111110100 => 1000001011 => [1,5,1,1,2]
0111111010 => 1000000101 => [1,6,1,1,1]
101101010101 => 010010101010 => [1,1,2,1,1,1,1,1,1,1,1]
101011010101 => 010100101010 => [1,1,1,1,2,1,1,1,1,1,1]
100111010101 => 011000101010 => [1,2,3,1,1,1,1,1,1]
101100110101 => 010011001010 => [1,1,2,2,2,1,1,1,1]
110010110101 => 001101001010 => [2,2,1,1,2,1,1,1,1]
101010110101 => 010101001010 => [1,1,1,1,1,1,2,1,1,1,1]
100110110101 => 011001001010 => [1,2,2,1,2,1,1,1,1]
101001110101 => 010110001010 => [1,1,1,2,3,1,1,1,1]
100101110101 => 011010001010 => [1,2,1,1,3,1,1,1,1]
100011110101 => 011100001010 => [1,3,4,1,1,1,1]
101101001101 => 010010110010 => [1,1,2,1,1,2,2,1,1]
101011001101 => 010100110010 => [1,1,1,1,2,2,2,1,1]
100111001101 => 011000110010 => [1,2,3,2,2,1,1]
110100101101 => 001011010010 => [2,1,1,2,1,1,2,1,1]
101100101101 => 010011010010 => [1,1,2,2,1,1,2,1,1]
110010101101 => 001101010010 => [2,2,1,1,1,1,2,1,1]
101010101101 => 010101010010 => [1,1,1,1,1,1,1,1,2,1,1]
100110101101 => 011001010010 => [1,2,2,1,1,1,2,1,1]
110001101101 => 001110010010 => [2,3,2,1,2,1,1]
101001101101 => 010110010010 => [1,1,1,2,2,1,2,1,1]
100101101101 => 011010010010 => [1,2,1,1,2,1,2,1,1]
100011101101 => 011100010010 => [1,3,3,1,2,1,1]
101100011101 => 010011100010 => [1,1,2,3,3,1,1]
110010011101 => 001101100010 => [2,2,1,2,3,1,1]
101010011101 => 010101100010 => [1,1,1,1,1,2,3,1,1]
100110011101 => 011001100010 => [1,2,2,2,3,1,1]
110001011101 => 001110100010 => [2,3,1,1,3,1,1]
101001011101 => 010110100010 => [1,1,1,2,1,1,3,1,1]
100101011101 => 011010100010 => [1,2,1,1,1,1,3,1,1]
100011011101 => 011100100010 => [1,3,2,1,3,1,1]
101000111101 => 010111000010 => [1,1,1,3,4,1,1]
100100111101 => 011011000010 => [1,2,1,2,4,1,1]
100010111101 => 011101000010 => [1,3,1,1,4,1,1]
100001111101 => 011110000010 => [1,4,5,1,1]
101101010011 => 010010101100 => [1,1,2,1,1,1,1,2,2]
101011010011 => 010100101100 => [1,1,1,1,2,1,1,2,2]
100111010011 => 011000101100 => [1,2,3,1,1,2,2]
110010110011 => 001101001100 => [2,2,1,1,2,2,2]
101010110011 => 010101001100 => [1,1,1,1,1,1,2,2,2]
100011110011 => 011100001100 => [1,3,4,2,2]
110101001011 => 001010110100 => [2,1,1,1,1,2,1,1,2]
101101001011 => 010010110100 => [1,1,2,1,1,2,1,1,2]
110011001011 => 001100110100 => [2,2,2,2,1,1,2]
101011001011 => 010100110100 => [1,1,1,1,2,2,1,1,2]
100111001011 => 011000110100 => [1,2,3,2,1,1,2]
110100101011 => 001011010100 => [2,1,1,2,1,1,1,1,2]
101100101011 => 010011010100 => [1,1,2,2,1,1,1,1,2]
110010101011 => 001101010100 => [2,2,1,1,1,1,1,1,2]
101010101011 => 010101010100 => [1,1,1,1,1,1,1,1,1,1,2]
100110101011 => 011001010100 => [1,2,2,1,1,1,1,1,2]
110001101011 => 001110010100 => [2,3,2,1,1,1,2]
101001101011 => 010110010100 => [1,1,1,2,2,1,1,1,2]
100101101011 => 011010010100 => [1,2,1,1,2,1,1,1,2]
100011101011 => 011100010100 => [1,3,3,1,1,1,2]
110100011011 => 001011100100 => [2,1,1,3,2,1,2]
110010011011 => 001101100100 => [2,2,1,2,2,1,2]
101010011011 => 010101100100 => [1,1,1,1,1,2,2,1,2]
110001011011 => 001110100100 => [2,3,1,1,2,1,2]
101001011011 => 010110100100 => [1,1,1,2,1,1,2,1,2]
100101011011 => 011010100100 => [1,2,1,1,1,1,2,1,2]
100011011011 => 011100100100 => [1,3,2,1,2,1,2]
110000111011 => 001111000100 => [2,4,3,1,2]
100010111011 => 011101000100 => [1,3,1,1,3,1,2]
100001111011 => 011110000100 => [1,4,4,1,2]
100111000111 => 011000111000 => [1,2,3,3,3]
110100100111 => 001011011000 => [2,1,1,2,1,2,3]
110010100111 => 001101011000 => [2,2,1,1,1,2,3]
101010100111 => 010101011000 => [1,1,1,1,1,1,1,2,3]
110001100111 => 001110011000 => [2,3,2,2,3]
100011100111 => 011100011000 => [1,3,3,2,3]
110100010111 => 001011101000 => [2,1,1,3,1,1,3]
110010010111 => 001101101000 => [2,2,1,2,1,1,3]
101010010111 => 010101101000 => [1,1,1,1,1,2,1,1,3]
110001010111 => 001110101000 => [2,3,1,1,1,1,3]
101001010111 => 010110101000 => [1,1,1,2,1,1,1,1,3]
100101010111 => 011010101000 => [1,2,1,1,1,1,1,1,3]
100011010111 => 011100101000 => [1,3,2,1,1,1,3]
110000110111 => 001111001000 => [2,4,2,1,3]
100010110111 => 011101001000 => [1,3,1,1,2,1,3]
100001110111 => 011110001000 => [1,4,3,1,3]
101100001111 => 010011110000 => [1,1,2,4,4]
110010001111 => 001101110000 => [2,2,1,3,4]
100110001111 => 011001110000 => [1,2,2,3,4]
110001001111 => 001110110000 => [2,3,1,2,4]
100011001111 => 011100110000 => [1,3,2,2,4]
110000101111 => 001111010000 => [2,4,1,1,4]
100010101111 => 011101010000 => [1,3,1,1,1,1,4]
100001101111 => 011110010000 => [1,4,2,1,4]
101000011111 => 010111100000 => [1,1,1,4,5]
100100011111 => 011011100000 => [1,2,1,3,5]
100010011111 => 011101100000 => [1,3,1,2,5]
100001011111 => 011110100000 => [1,4,1,1,5]
100000111111 => 011111000000 => [1,5,6]
0000001111 => 1111110000 => [6,4]
0011111111 => 1100000000 => [2,8]
0000010111 => 1111101000 => [5,1,1,3]
00000011111 => 11111100000 => [6,5]
00111111111 => 11000000000 => [2,9]
10110000000 => 01001111111 => [1,1,2,7]
10111000000 => 01000111111 => [1,1,3,6]
10111100000 => 01000011111 => [1,1,4,5]
10111110000 => 01000001111 => [1,1,5,4]
10111111111 => 01000000000 => [1,1,9]
10000010111 => 01111101000 => [1,5,1,1,3]
0011111100 => 1100000011 => [2,6,2]
0011011100 => 1100100011 => [2,2,1,3,2]
010100111100 => 101011000011 => [1,1,1,1,2,4,2]
001100111001 => 110011000110 => [2,2,2,3,2,1]
001100111100 => 110011000011 => [2,2,2,4,2]
010010111100 => 101101000011 => [1,1,2,1,1,4,2]
001010111100 => 110101000011 => [2,1,1,1,1,4,2]
000110111100 => 111001000011 => [3,2,1,4,2]
001110110001 => 110001001110 => [2,3,1,2,3,1]
001110110100 => 110001001011 => [2,3,1,2,1,1,2]
001001111001 => 110110000110 => [2,1,2,4,2,1]
001011100101 => 110100011010 => [2,1,1,3,2,1,1,1]
000011111001 => 111100000110 => [4,5,2,1]
001011110001 => 110100001110 => [2,1,1,4,3,1]
000111100011 => 111000011100 => [3,4,3,2]
01010001010111 => 10101110101000 => [1,1,1,1,3,1,1,1,1,3]
01010001001111 => 10101110110000 => [1,1,1,1,3,1,2,4]
01010000101111 => 10101111010000 => [1,1,1,1,4,1,1,4]
11000000011 => 00111111100 => [2,7,2]
10000011101 => 01111100010 => [1,5,3,1,1]
0011100011 => 1100011100 => [2,3,3,2]
001011100011 => 110100011100 => [2,1,1,3,3,2]
001110001011 => 110001110100 => [2,3,3,1,1,2]
111000001110 => 000111110001 => [3,5,3,1]
001011011001 => 110100100110 => [2,1,1,2,1,2,2,1]
001110001101 => 110001110010 => [2,3,3,2,1,1]
001110010011 => 110001101100 => [2,3,2,1,2,2]
001110011001 => 110001100110 => [2,3,2,2,2,1]
001110011100 => 110001100011 => [2,3,2,3,2]
001110100101 => 110001011010 => [2,3,1,1,2,1,1,1]
001111001001 => 110000110110 => [2,4,2,1,2,1]
11100100000 => 00011011111 => [3,2,1,5]
11001100000 => 00110011111 => [2,2,2,5]
11111000000 => 00000111111 => [5,6]
01110100000 => 10001011111 => [1,3,1,1,5]
11001000001 => 00110111110 => [2,2,1,5,1]
11001000000 => 00110111111 => [2,2,1,6]
01101000000 => 10010111111 => [1,2,1,1,6]
10011000000 => 01100111111 => [1,2,2,6]
100110111000 => 011001000111 => [1,2,2,1,3,3]
100101011100 => 011010100011 => [1,2,1,1,1,1,3,2]
101100100110 => 010011011001 => [1,1,2,2,1,2,2,1]
111000100110 => 000111011001 => [3,3,1,2,2,1]
100110011100 => 011001100011 => [1,2,2,2,3,2]
100110101100 => 011001010011 => [1,2,2,1,1,1,2,2]
100110110100 => 011001001011 => [1,2,2,1,2,1,1,2]
0010010011 => 1101101100 => [2,1,2,1,2,2]
0000101011 => 1111010100 => [4,1,1,1,1,2]
0001000111 => 1110111000 => [3,1,3,3]
0000100111 => 1111011000 => [4,1,2,3]
0001001010 => 1110110101 => [3,1,2,1,1,1,1]
0000100100 => 1111011011 => [4,1,2,1,2]
0000100010 => 1111011101 => [4,1,3,1,1]
0011000000 => 1100111111 => [2,2,6]
11111001100 => 00000110011 => [5,2,2,2]
11110011000 => 00001100111 => [4,2,2,3]
11100110000 => 00011001111 => [3,2,2,4]
0010110000 => 1101001111 => [2,1,1,2,4]
00110000000 => 11001111111 => [2,2,7]
0101010111 => 1010101000 => [1,1,1,1,1,1,1,3]
100100111100 => 011011000011 => [1,2,1,2,4,2]
110000110110 => 001111001001 => [2,4,2,1,2,1]
101010011100 => 010101100011 => [1,1,1,1,1,2,3,2]
101100011100 => 010011100011 => [1,1,2,3,3,2]
110010011100 => 001101100011 => [2,2,1,2,3,2]
0101110101 => 1010001010 => [1,1,1,3,1,1,1,1]
11111100000 => 00000011111 => [6,5]
01111101000 => 10000010111 => [1,5,1,1,3]
001110000110 => 110001111001 => [2,3,4,2,1]
100010101100 => 011101010011 => [1,3,1,1,1,1,2,2]
100010110010 => 011101001101 => [1,3,1,1,2,2,1,1]
100010111000 => 011101000111 => [1,3,1,1,3,3]
100011001010 => 011100110101 => [1,3,2,2,1,1,1,1]
100011001100 => 011100110011 => [1,3,2,2,2,2]
100011100010 => 011100011101 => [1,3,3,3,1,1]
100011110000 => 011100001111 => [1,3,4,4]
000110111000 => 111001000111 => [3,2,1,3,3]
110000101100 => 001111010011 => [2,4,1,1,2,2]
110000110010 => 001111001101 => [2,4,2,2,1,1]
110000100110 => 001111011001 => [2,4,1,2,2,1]
111000001010 => 000111110101 => [3,5,1,1,1,1]
111000001100 => 000111110011 => [3,5,2,2]
110000011010 => 001111100101 => [2,5,2,1,1,1]
110000010110 => 001111101001 => [2,5,1,1,2,1]
110000011100 => 001111100011 => [2,5,3,2]
111100000010 => 000011111101 => [4,6,1,1]
111000000110 => 000111111001 => [3,6,2,1]
111110000000 => 000001111111 => [5,7]
10100001111 => 01011110000 => [1,1,1,4,4]
10010001111 => 01101110000 => [1,2,1,3,4]
10010110101 => 01101001010 => [1,2,1,1,2,1,1,1,1]
10000011111 => 01111100000 => [1,5,5]
10011010101 => 01100101010 => [1,2,2,1,1,1,1,1,1]
10001001111 => 01110110000 => [1,3,1,2,4]
0000101100 => 1111010011 => [4,1,1,2,2]
11111111100 => 00000000011 => [9,2]
11000000101 => 00111111010 => [2,6,1,1,1]
11000001001 => 00111110110 => [2,5,1,2,1]
11000010001 => 00111101110 => [2,4,1,3,1]
11000100001 => 00111011110 => [2,3,1,4,1]
11010000001 => 00101111110 => [2,1,1,6,1]
00111100001 => 11000011110 => [2,4,4,1]
0011010001 => 1100101110 => [2,2,1,1,3,1]
01010000000 => 10101111111 => [1,1,1,1,7]
01000000010 => 10111111101 => [1,1,7,1,1]
0000101000 => 1111010111 => [4,1,1,1,3]
0010001000 => 1101110111 => [2,1,3,1,3]
000000001010 => 111111110101 => [8,1,1,1,1]
000000101000 => 111111010111 => [6,1,1,1,3]
000000100010 => 111111011101 => [6,1,3,1,1]
000000110110 => 111111001001 => [6,2,1,2,1]
000010100000 => 111101011111 => [4,1,1,1,5]
000010101010 => 111101010101 => [4,1,1,1,1,1,1,1,1]
000010001000 => 111101110111 => [4,1,3,1,3]
000010000010 => 111101111101 => [4,1,5,1,1]
000010010110 => 111101101001 => [4,1,2,1,1,2,1]
000011011000 => 111100100111 => [4,2,1,2,3]
000011010010 => 111100101101 => [4,2,1,1,2,1,1]
000011000110 => 111100111001 => [4,2,3,2,1]
001010000000 => 110101111111 => [2,1,1,1,7]
001010001010 => 110101110101 => [2,1,1,1,3,1,1,1,1]
001010101000 => 110101010111 => [2,1,1,1,1,1,1,1,3]
001010100010 => 110101011101 => [2,1,1,1,1,1,3,1,1]
001000100000 => 110111011111 => [2,1,3,1,5]
001000101010 => 110111010101 => [2,1,3,1,1,1,1,1,1]
001000001000 => 110111110111 => [2,1,5,1,3]
001000000010 => 110111111101 => [2,1,7,1,1]
101000000000 => 010111111111 => [1,1,1,9]
101000001010 => 010111110101 => [1,1,1,5,1,1,1,1]
101000101000 => 010111010111 => [1,1,1,3,1,1,1,3]
101000100010 => 010111011101 => [1,1,1,3,1,3,1,1]
101010100000 => 010101011111 => [1,1,1,1,1,1,1,5]
101010001000 => 010101110111 => [1,1,1,1,1,3,1,3]
101010000010 => 010101111101 => [1,1,1,1,1,5,1,1]
100010101000 => 011101010111 => [1,3,1,1,1,1,1,3]
100010100010 => 011101011101 => [1,3,1,1,1,3,1,1]
100001011000 => 011110100111 => [1,4,1,1,2,3]
100101001000 => 011010110111 => [1,2,1,1,1,2,1,3]
110101101110 => 001010010001 => [2,1,1,1,2,1,3,1]
111011101010 => 000100010101 => [3,1,3,1,1,1,1,1]
111011010110 => 000100101001 => [3,1,2,1,1,1,2,1]
111010101110 => 000101010001 => [3,1,1,1,1,1,3,1]
111001011110 => 000110100001 => [3,2,1,1,4,1]
111101001110 => 000010110001 => [4,1,1,2,3,1]
10000001111 => 01111110000 => [1,6,4]
011001000110 => 100110111001 => [1,2,2,1,3,2,1]
011010000110 => 100101111001 => [1,2,1,1,4,2,1]
010110000110 => 101001111001 => [1,1,1,2,4,2,1]
011011011110 => 100100100001 => [1,2,1,2,1,4,1]
010001011000 => 101110100111 => [1,1,3,1,1,2,3]
010100011000 => 101011100111 => [1,1,1,1,3,2,3]
010001010000 => 101110101111 => [1,1,3,1,1,1,4]
010010010000 => 101101101111 => [1,1,2,1,2,1,4]
010100010000 => 101011101111 => [1,1,1,1,3,1,4]
00100000000 => 11011111111 => [2,1,8]
101011111111 => 010100000000 => [1,1,1,1,8]
111010111111 => 000101000000 => [3,1,1,1,6]
101110111111 => 010001000000 => [1,1,3,1,6]
100100111111 => 011011000000 => [1,2,1,2,6]
111110101111 => 000001010000 => [5,1,1,1,4]
101010101111 => 010101010000 => [1,1,1,1,1,1,1,1,4]
111011101111 => 000100010000 => [3,1,3,1,4]
101111101111 => 010000010000 => [1,1,5,1,4]
111001001111 => 000110110000 => [3,2,1,2,4]
100111001111 => 011000110000 => [1,2,3,2,4]
111111101011 => 000000010100 => [7,1,1,1,2]
101011101011 => 010100010100 => [1,1,1,1,3,1,1,1,2]
111010101011 => 000101010100 => [3,1,1,1,1,1,1,1,2]
101110101011 => 010001010100 => [1,1,3,1,1,1,1,1,2]
111110111011 => 000001000100 => [5,1,3,1,2]
101010111011 => 010101000100 => [1,1,1,1,1,1,3,1,2]
111011111011 => 000100000100 => [3,1,5,1,2]
101111111011 => 010000000100 => [1,1,7,1,2]
111001011011 => 000110100100 => [3,2,1,1,2,1,2]
101101011011 => 010010100100 => [1,1,2,1,1,1,2,1,2]
100111011011 => 011000100100 => [1,2,3,1,2,1,2]
111110010011 => 000001101100 => [5,2,1,2,2]
111011010011 => 000100101100 => [3,1,2,1,1,2,2]
101111010011 => 010000101100 => [1,1,4,1,1,2,2]
111001110011 => 000110001100 => [3,2,3,2,2]
100111110011 => 011000001100 => [1,2,5,2,2]
100001000011 => 011110111100 => [1,4,1,4,2]
111111111010 => 000000000101 => [9,1,1,1]
101011111010 => 010100000101 => [1,1,1,1,5,1,1,1]
111010111010 => 000101000101 => [3,1,1,1,3,1,1,1]
101110111010 => 010001000101 => [1,1,3,1,3,1,1,1]
111110101010 => 000001010101 => [5,1,1,1,1,1,1,1]
101111101010 => 010000010101 => [1,1,5,1,1,1,1,1]
100111001010 => 011000110101 => [1,2,3,2,1,1,1,1]
101110101110 => 010001010001 => [1,1,3,1,1,1,3,1]
111110010110 => 000001101001 => [5,2,1,1,2,1]
101111010110 => 010000101001 => [1,1,4,1,1,1,2,1]
111001110110 => 000110001001 => [3,2,3,1,2,1]
101101110110 => 010010001001 => [1,1,2,1,3,1,2,1]
111111100100 => 000000011011 => [7,2,1,2]
100100100100 => 011011011011 => [1,2,1,2,1,2,1,2]
111110110100 => 000001001011 => [5,1,2,1,1,2]
111011110100 => 000100001011 => [3,1,4,1,1,2]
101111110100 => 010000001011 => [1,1,6,1,1,2]
100010010100 => 011101101011 => [1,3,1,2,1,1,1,2]
111110011100 => 000001100011 => [5,2,3,2]
111011011100 => 000100100011 => [3,1,2,1,3,2]
101111011100 => 010000100011 => [1,1,4,1,3,2]
111001111100 => 000110000011 => [3,2,5,2]
101101111100 => 010010000011 => [1,1,2,1,5,2]
100111111100 => 011000000011 => [1,2,7,2]
111000010000 => 000111101111 => [3,4,1,4]
101100010000 => 010011101111 => [1,1,2,3,1,4]
100110010000 => 011001101111 => [1,2,2,2,1,4]
100011010000 => 011100101111 => [1,3,2,1,1,4]
100001110000 => 011110001111 => [1,4,3,4]
110000100100 => 001111011011 => [2,4,1,2,1,2]
110000100010 => 001111011101 => [2,4,1,3,1,1]
110000001010 => 001111110101 => [2,6,1,1,1,1]
111111001010 => 000000110101 => [6,2,1,1,1,1]
110100001110 => 001011110001 => [2,1,1,4,3,1]
10010101101 => 01101010010 => [1,2,1,1,1,1,2,1,1]
10010101011 => 01101010100 => [1,2,1,1,1,1,1,1,2]
110010001000 => 001101110111 => [2,2,1,3,1,3]
0101001000 => 1010110111 => [1,1,1,1,2,1,3]
0010010000 => 1101101111 => [2,1,2,1,4]
01010000011111 => 10101111100000 => [1,1,1,1,5,5]
0001010010 => 1110101101 => [3,1,1,1,2,1,1]
0100101000 => 1011010111 => [1,1,2,1,1,1,3]
01111110100 => 10000001011 => [1,6,1,1,2]
0010011001 => 1101100110 => [2,1,2,2,2,1]
0010100101 => 1101011010 => [2,1,1,1,2,1,1,1]
0011001001 => 1100110110 => [2,2,2,1,2,1]
0010110111 => 1101001000 => [2,1,1,2,1,3]
0010011111 => 1101100000 => [2,1,2,5]
0000111001 => 1111000110 => [4,3,2,1]
0010001101 => 1101110010 => [2,1,3,2,1,1]
0001001101 => 1110110010 => [3,1,2,2,1,1]
11111111000 => 00000000111 => [8,3]
0001010011 => 1110101100 => [3,1,1,1,2,2]
0110101101 => 1001010010 => [1,2,1,1,1,2,1,1]
0110011101 => 1001100010 => [1,2,2,3,1,1]
0110001111 => 1001110000 => [1,2,3,4]
0101101011 => 1010010100 => [1,1,1,2,1,1,1,2]
0101011101 => 1010100010 => [1,1,1,1,1,3,1,1]
0100111101 => 1011000010 => [1,1,2,4,1,1]
0011000011 => 1100111100 => [2,2,4,2]
001111111111 => 110000000000 => [2,10]
001100111111 => 110011000000 => [2,2,2,6]
000011111111 => 111100000000 => [4,8]
000000110011 => 111111001100 => [6,2,2,2]
000000001111 => 111111110000 => [8,4]
000000000011 => 111111111100 => [10,2]
11100000000 => 00011111111 => [3,8]
11110000000 => 00001111111 => [4,7]
11111110000 => 00000001111 => [7,4]
11110100010 => 00001011101 => [4,1,1,3,1,1]
11111001000 => 00000110111 => [5,2,1,3]
110000000000 => 001111111111 => [2,10]
110100100110 => 001011011001 => [2,1,1,2,1,2,2,1]
010010101000 => 101101010111 => [1,1,2,1,1,1,1,1,3]
0010000111 => 1101111000 => [2,1,4,3]
0011100111 => 1100011000 => [2,3,2,3]
001010010001 => 110101101110 => [2,1,1,1,2,1,3,1]
000010110001 => 111101001110 => [4,1,1,2,3,1]
001000110001 => 110111001110 => [2,1,3,2,3,1]
11111101010 => 00000010101 => [6,1,1,1,1,1]
11111010010 => 00000101101 => [5,1,1,2,1,1]
11111100100 => 00000011011 => [6,2,1,2]
11110010000 => 00001101111 => [4,2,1,4]
110010000100 => 001101111011 => [2,2,1,4,1,2]
110000101000 => 001111010111 => [2,4,1,1,1,3]
101001000100 => 010110111011 => [1,1,1,2,1,3,1,2]
101000010100 => 010111101011 => [1,1,1,4,1,1,1,2]
0000110000 => 1111001111 => [4,2,4]
000011100100 => 111100011011 => [4,3,2,1,2]
001100100100 => 110011011011 => [2,2,2,1,2,1,2]
001110000100 => 110001111011 => [2,3,4,1,2]
001001100100 => 110110011011 => [2,1,2,2,2,1,2]
111000000100 => 000111111011 => [3,6,1,2]
100110000100 => 011001111011 => [1,2,2,4,1,2]
100001100100 => 011110011011 => [1,4,2,2,1,2]
100011000100 => 011100111011 => [1,3,2,3,1,2]
101001011100 => 010110100011 => [1,1,1,2,1,1,3,2]
0000100001 => 1111011110 => [4,1,4,1]
000000100111 => 111111011000 => [6,1,2,3]
000011100001 => 111100011110 => [4,3,4,1]
000010011001 => 111101100110 => [4,1,2,2,2,1]
000010000111 => 111101111000 => [4,1,4,3]
000010001101 => 111101110010 => [4,1,3,2,1,1]
001100100001 => 110011011110 => [2,2,2,1,4,1]
001111111001 => 110000000110 => [2,7,2,1]
001111100111 => 110000011000 => [2,5,2,3]
001111101101 => 110000010010 => [2,5,1,2,1,1]
001110011111 => 110001100000 => [2,3,2,5]
001110110111 => 110001001000 => [2,3,1,2,1,3]
001110111101 => 110001000010 => [2,3,1,4,1,1]
001001000011 => 110110111100 => [2,1,2,1,4,2]
001001001001 => 110110110110 => [2,1,2,1,2,1,2,1]
001001111111 => 110110000000 => [2,1,2,7]
001000010011 => 110111101100 => [2,1,4,1,2,2]
001000100101 => 110111011010 => [2,1,3,1,2,1,1,1]
001011011111 => 110100100000 => [2,1,1,2,1,5]
001011110111 => 110100001000 => [2,1,1,4,1,3]
001011111101 => 110100000010 => [2,1,1,6,1,1]
001010000101 => 110101111010 => [2,1,1,1,4,1,1,1]
01001000110111 => 10110111001000 => [1,1,2,1,3,2,1,3]
01001000101111 => 10110111010000 => [1,1,2,1,3,1,1,4]
00110000101111 => 11001111010000 => [2,2,4,1,1,4]
0000000011111111 => 1111111100000000 => [8,8]
00110001001111 => 11001110110000 => [2,2,3,1,2,4]
000000000111111111 => 111111111000000000 => [9,9]
0000001001111111 => 1111110110000000 => [6,1,2,7]
00000000001111111111 => 11111111110000000000 => [10,10]
000000010011111111 => 111111101100000000 => [7,1,2,8]
01010000110111 => 10101111001000 => [1,1,1,1,4,2,1,3]
00000000100111111111 => 11111111011000000000 => [8,1,2,9]
0000000001001111111111 => 1111111110110000000000 => [9,1,2,10]
0000111000 => 1111000111 => [4,3,3]
110010000010 => 001101111101 => [2,2,1,5,1,1]
01010010110 => 10101101001 => [1,1,1,1,2,1,1,2,1]
10000011011 => 01111100100 => [1,5,2,1,2]
110111101010 => 001000010101 => [2,1,4,1,1,1,1,1]
111101101010 => 000010010101 => [4,1,2,1,1,1,1,1]
111111100010 => 000000011101 => [7,3,1,1]
111000000010 => 000111111101 => [3,7,1,1]
111111101000 => 000000010111 => [7,1,1,3]
111010000000 => 000101111111 => [3,1,1,7]
110010100000 => 001101011111 => [2,2,1,1,1,5]
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.
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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