Identifier
Mp00097:
Binary words
—delta morphism⟶
Integer compositions
Mp00038: Integer compositions —reverse⟶ Integer compositions
Mp00038: Integer compositions —reverse⟶ Integer compositions
Images
0 => [1] => [1]
1 => [1] => [1]
00 => [2] => [2]
01 => [1,1] => [1,1]
10 => [1,1] => [1,1]
11 => [2] => [2]
000 => [3] => [3]
001 => [2,1] => [1,2]
010 => [1,1,1] => [1,1,1]
011 => [1,2] => [2,1]
100 => [1,2] => [2,1]
101 => [1,1,1] => [1,1,1]
110 => [2,1] => [1,2]
111 => [3] => [3]
0000 => [4] => [4]
0001 => [3,1] => [1,3]
0010 => [2,1,1] => [1,1,2]
0011 => [2,2] => [2,2]
0100 => [1,1,2] => [2,1,1]
0101 => [1,1,1,1] => [1,1,1,1]
0110 => [1,2,1] => [1,2,1]
0111 => [1,3] => [3,1]
1000 => [1,3] => [3,1]
1001 => [1,2,1] => [1,2,1]
1010 => [1,1,1,1] => [1,1,1,1]
1011 => [1,1,2] => [2,1,1]
1100 => [2,2] => [2,2]
1101 => [2,1,1] => [1,1,2]
1110 => [3,1] => [1,3]
1111 => [4] => [4]
00000 => [5] => [5]
00001 => [4,1] => [1,4]
00010 => [3,1,1] => [1,1,3]
00011 => [3,2] => [2,3]
00100 => [2,1,2] => [2,1,2]
00101 => [2,1,1,1] => [1,1,1,2]
00110 => [2,2,1] => [1,2,2]
00111 => [2,3] => [3,2]
01000 => [1,1,3] => [3,1,1]
01001 => [1,1,2,1] => [1,2,1,1]
01010 => [1,1,1,1,1] => [1,1,1,1,1]
01011 => [1,1,1,2] => [2,1,1,1]
01100 => [1,2,2] => [2,2,1]
01101 => [1,2,1,1] => [1,1,2,1]
01110 => [1,3,1] => [1,3,1]
01111 => [1,4] => [4,1]
10000 => [1,4] => [4,1]
10001 => [1,3,1] => [1,3,1]
10010 => [1,2,1,1] => [1,1,2,1]
10011 => [1,2,2] => [2,2,1]
10100 => [1,1,1,2] => [2,1,1,1]
10101 => [1,1,1,1,1] => [1,1,1,1,1]
10110 => [1,1,2,1] => [1,2,1,1]
10111 => [1,1,3] => [3,1,1]
11000 => [2,3] => [3,2]
11001 => [2,2,1] => [1,2,2]
11010 => [2,1,1,1] => [1,1,1,2]
11011 => [2,1,2] => [2,1,2]
11100 => [3,2] => [2,3]
11101 => [3,1,1] => [1,1,3]
11110 => [4,1] => [1,4]
11111 => [5] => [5]
000000 => [6] => [6]
000001 => [5,1] => [1,5]
000010 => [4,1,1] => [1,1,4]
000011 => [4,2] => [2,4]
000100 => [3,1,2] => [2,1,3]
000101 => [3,1,1,1] => [1,1,1,3]
000110 => [3,2,1] => [1,2,3]
000111 => [3,3] => [3,3]
001000 => [2,1,3] => [3,1,2]
001001 => [2,1,2,1] => [1,2,1,2]
001010 => [2,1,1,1,1] => [1,1,1,1,2]
001011 => [2,1,1,2] => [2,1,1,2]
001100 => [2,2,2] => [2,2,2]
001101 => [2,2,1,1] => [1,1,2,2]
001110 => [2,3,1] => [1,3,2]
001111 => [2,4] => [4,2]
010000 => [1,1,4] => [4,1,1]
010001 => [1,1,3,1] => [1,3,1,1]
010010 => [1,1,2,1,1] => [1,1,2,1,1]
010011 => [1,1,2,2] => [2,2,1,1]
010100 => [1,1,1,1,2] => [2,1,1,1,1]
010101 => [1,1,1,1,1,1] => [1,1,1,1,1,1]
010110 => [1,1,1,2,1] => [1,2,1,1,1]
010111 => [1,1,1,3] => [3,1,1,1]
011000 => [1,2,3] => [3,2,1]
011001 => [1,2,2,1] => [1,2,2,1]
011010 => [1,2,1,1,1] => [1,1,1,2,1]
011011 => [1,2,1,2] => [2,1,2,1]
011100 => [1,3,2] => [2,3,1]
011101 => [1,3,1,1] => [1,1,3,1]
011110 => [1,4,1] => [1,4,1]
011111 => [1,5] => [5,1]
100000 => [1,5] => [5,1]
100001 => [1,4,1] => [1,4,1]
100010 => [1,3,1,1] => [1,1,3,1]
100011 => [1,3,2] => [2,3,1]
100100 => [1,2,1,2] => [2,1,2,1]
100101 => [1,2,1,1,1] => [1,1,1,2,1]
100110 => [1,2,2,1] => [1,2,2,1]
>>> Load all 2809 entries. <<<
100111 => [1,2,3] => [3,2,1]
101000 => [1,1,1,3] => [3,1,1,1]
101001 => [1,1,1,2,1] => [1,2,1,1,1]
101010 => [1,1,1,1,1,1] => [1,1,1,1,1,1]
101011 => [1,1,1,1,2] => [2,1,1,1,1]
101100 => [1,1,2,2] => [2,2,1,1]
101101 => [1,1,2,1,1] => [1,1,2,1,1]
101110 => [1,1,3,1] => [1,3,1,1]
101111 => [1,1,4] => [4,1,1]
110000 => [2,4] => [4,2]
110001 => [2,3,1] => [1,3,2]
110010 => [2,2,1,1] => [1,1,2,2]
110011 => [2,2,2] => [2,2,2]
110100 => [2,1,1,2] => [2,1,1,2]
110101 => [2,1,1,1,1] => [1,1,1,1,2]
110110 => [2,1,2,1] => [1,2,1,2]
110111 => [2,1,3] => [3,1,2]
111000 => [3,3] => [3,3]
111001 => [3,2,1] => [1,2,3]
111010 => [3,1,1,1] => [1,1,1,3]
111011 => [3,1,2] => [2,1,3]
111100 => [4,2] => [2,4]
111101 => [4,1,1] => [1,1,4]
111110 => [5,1] => [1,5]
111111 => [6] => [6]
0000000 => [7] => [7]
0000001 => [6,1] => [1,6]
0000010 => [5,1,1] => [1,1,5]
0000011 => [5,2] => [2,5]
0000100 => [4,1,2] => [2,1,4]
0000101 => [4,1,1,1] => [1,1,1,4]
0000110 => [4,2,1] => [1,2,4]
0000111 => [4,3] => [3,4]
0001000 => [3,1,3] => [3,1,3]
0001001 => [3,1,2,1] => [1,2,1,3]
0001010 => [3,1,1,1,1] => [1,1,1,1,3]
0001011 => [3,1,1,2] => [2,1,1,3]
0001100 => [3,2,2] => [2,2,3]
0001101 => [3,2,1,1] => [1,1,2,3]
0001110 => [3,3,1] => [1,3,3]
0001111 => [3,4] => [4,3]
0010000 => [2,1,4] => [4,1,2]
0010001 => [2,1,3,1] => [1,3,1,2]
0010010 => [2,1,2,1,1] => [1,1,2,1,2]
0010011 => [2,1,2,2] => [2,2,1,2]
0010100 => [2,1,1,1,2] => [2,1,1,1,2]
0010101 => [2,1,1,1,1,1] => [1,1,1,1,1,2]
0010110 => [2,1,1,2,1] => [1,2,1,1,2]
0010111 => [2,1,1,3] => [3,1,1,2]
0011000 => [2,2,3] => [3,2,2]
0011001 => [2,2,2,1] => [1,2,2,2]
0011010 => [2,2,1,1,1] => [1,1,1,2,2]
0011011 => [2,2,1,2] => [2,1,2,2]
0011100 => [2,3,2] => [2,3,2]
0011101 => [2,3,1,1] => [1,1,3,2]
0011110 => [2,4,1] => [1,4,2]
0011111 => [2,5] => [5,2]
0100000 => [1,1,5] => [5,1,1]
0100001 => [1,1,4,1] => [1,4,1,1]
0100010 => [1,1,3,1,1] => [1,1,3,1,1]
0100011 => [1,1,3,2] => [2,3,1,1]
0100100 => [1,1,2,1,2] => [2,1,2,1,1]
0100101 => [1,1,2,1,1,1] => [1,1,1,2,1,1]
0100110 => [1,1,2,2,1] => [1,2,2,1,1]
0100111 => [1,1,2,3] => [3,2,1,1]
0101000 => [1,1,1,1,3] => [3,1,1,1,1]
0101001 => [1,1,1,1,2,1] => [1,2,1,1,1,1]
0101010 => [1,1,1,1,1,1,1] => [1,1,1,1,1,1,1]
0101011 => [1,1,1,1,1,2] => [2,1,1,1,1,1]
0101100 => [1,1,1,2,2] => [2,2,1,1,1]
0101101 => [1,1,1,2,1,1] => [1,1,2,1,1,1]
0101110 => [1,1,1,3,1] => [1,3,1,1,1]
0101111 => [1,1,1,4] => [4,1,1,1]
0110000 => [1,2,4] => [4,2,1]
0110001 => [1,2,3,1] => [1,3,2,1]
0110010 => [1,2,2,1,1] => [1,1,2,2,1]
0110011 => [1,2,2,2] => [2,2,2,1]
0110100 => [1,2,1,1,2] => [2,1,1,2,1]
0110101 => [1,2,1,1,1,1] => [1,1,1,1,2,1]
0110110 => [1,2,1,2,1] => [1,2,1,2,1]
0110111 => [1,2,1,3] => [3,1,2,1]
0111000 => [1,3,3] => [3,3,1]
0111001 => [1,3,2,1] => [1,2,3,1]
0111010 => [1,3,1,1,1] => [1,1,1,3,1]
0111011 => [1,3,1,2] => [2,1,3,1]
0111100 => [1,4,2] => [2,4,1]
0111101 => [1,4,1,1] => [1,1,4,1]
0111110 => [1,5,1] => [1,5,1]
0111111 => [1,6] => [6,1]
1000000 => [1,6] => [6,1]
1000001 => [1,5,1] => [1,5,1]
1000010 => [1,4,1,1] => [1,1,4,1]
1000011 => [1,4,2] => [2,4,1]
1000100 => [1,3,1,2] => [2,1,3,1]
1000101 => [1,3,1,1,1] => [1,1,1,3,1]
1000110 => [1,3,2,1] => [1,2,3,1]
1000111 => [1,3,3] => [3,3,1]
1001000 => [1,2,1,3] => [3,1,2,1]
1001001 => [1,2,1,2,1] => [1,2,1,2,1]
1001010 => [1,2,1,1,1,1] => [1,1,1,1,2,1]
1001011 => [1,2,1,1,2] => [2,1,1,2,1]
1001100 => [1,2,2,2] => [2,2,2,1]
1001101 => [1,2,2,1,1] => [1,1,2,2,1]
1001110 => [1,2,3,1] => [1,3,2,1]
1001111 => [1,2,4] => [4,2,1]
1010000 => [1,1,1,4] => [4,1,1,1]
1010001 => [1,1,1,3,1] => [1,3,1,1,1]
1010010 => [1,1,1,2,1,1] => [1,1,2,1,1,1]
1010011 => [1,1,1,2,2] => [2,2,1,1,1]
1010100 => [1,1,1,1,1,2] => [2,1,1,1,1,1]
1010101 => [1,1,1,1,1,1,1] => [1,1,1,1,1,1,1]
1010110 => [1,1,1,1,2,1] => [1,2,1,1,1,1]
1010111 => [1,1,1,1,3] => [3,1,1,1,1]
1011000 => [1,1,2,3] => [3,2,1,1]
1011001 => [1,1,2,2,1] => [1,2,2,1,1]
1011010 => [1,1,2,1,1,1] => [1,1,1,2,1,1]
1011011 => [1,1,2,1,2] => [2,1,2,1,1]
1011100 => [1,1,3,2] => [2,3,1,1]
1011101 => [1,1,3,1,1] => [1,1,3,1,1]
1011110 => [1,1,4,1] => [1,4,1,1]
1011111 => [1,1,5] => [5,1,1]
1100000 => [2,5] => [5,2]
1100001 => [2,4,1] => [1,4,2]
1100010 => [2,3,1,1] => [1,1,3,2]
1100011 => [2,3,2] => [2,3,2]
1100100 => [2,2,1,2] => [2,1,2,2]
1100101 => [2,2,1,1,1] => [1,1,1,2,2]
1100110 => [2,2,2,1] => [1,2,2,2]
1100111 => [2,2,3] => [3,2,2]
1101000 => [2,1,1,3] => [3,1,1,2]
1101001 => [2,1,1,2,1] => [1,2,1,1,2]
1101010 => [2,1,1,1,1,1] => [1,1,1,1,1,2]
1101011 => [2,1,1,1,2] => [2,1,1,1,2]
1101100 => [2,1,2,2] => [2,2,1,2]
1101101 => [2,1,2,1,1] => [1,1,2,1,2]
1101110 => [2,1,3,1] => [1,3,1,2]
1101111 => [2,1,4] => [4,1,2]
1110000 => [3,4] => [4,3]
1110001 => [3,3,1] => [1,3,3]
1110010 => [3,2,1,1] => [1,1,2,3]
1110011 => [3,2,2] => [2,2,3]
1110100 => [3,1,1,2] => [2,1,1,3]
1110101 => [3,1,1,1,1] => [1,1,1,1,3]
1110110 => [3,1,2,1] => [1,2,1,3]
1110111 => [3,1,3] => [3,1,3]
1111000 => [4,3] => [3,4]
1111001 => [4,2,1] => [1,2,4]
1111010 => [4,1,1,1] => [1,1,1,4]
1111011 => [4,1,2] => [2,1,4]
1111100 => [5,2] => [2,5]
1111101 => [5,1,1] => [1,1,5]
1111110 => [6,1] => [1,6]
1111111 => [7] => [7]
00000000 => [8] => [8]
00000001 => [7,1] => [1,7]
00000010 => [6,1,1] => [1,1,6]
00000011 => [6,2] => [2,6]
00000100 => [5,1,2] => [2,1,5]
00000101 => [5,1,1,1] => [1,1,1,5]
00000110 => [5,2,1] => [1,2,5]
00000111 => [5,3] => [3,5]
00001000 => [4,1,3] => [3,1,4]
00001001 => [4,1,2,1] => [1,2,1,4]
00001010 => [4,1,1,1,1] => [1,1,1,1,4]
00001011 => [4,1,1,2] => [2,1,1,4]
00001100 => [4,2,2] => [2,2,4]
00001101 => [4,2,1,1] => [1,1,2,4]
00001110 => [4,3,1] => [1,3,4]
00001111 => [4,4] => [4,4]
00010000 => [3,1,4] => [4,1,3]
00010001 => [3,1,3,1] => [1,3,1,3]
00010010 => [3,1,2,1,1] => [1,1,2,1,3]
00010011 => [3,1,2,2] => [2,2,1,3]
00010100 => [3,1,1,1,2] => [2,1,1,1,3]
00010101 => [3,1,1,1,1,1] => [1,1,1,1,1,3]
00010110 => [3,1,1,2,1] => [1,2,1,1,3]
00010111 => [3,1,1,3] => [3,1,1,3]
00011000 => [3,2,3] => [3,2,3]
00011001 => [3,2,2,1] => [1,2,2,3]
00011010 => [3,2,1,1,1] => [1,1,1,2,3]
00011011 => [3,2,1,2] => [2,1,2,3]
00011100 => [3,3,2] => [2,3,3]
00011101 => [3,3,1,1] => [1,1,3,3]
00011110 => [3,4,1] => [1,4,3]
00011111 => [3,5] => [5,3]
00100000 => [2,1,5] => [5,1,2]
00100001 => [2,1,4,1] => [1,4,1,2]
00100010 => [2,1,3,1,1] => [1,1,3,1,2]
00100011 => [2,1,3,2] => [2,3,1,2]
00100100 => [2,1,2,1,2] => [2,1,2,1,2]
00100101 => [2,1,2,1,1,1] => [1,1,1,2,1,2]
00100110 => [2,1,2,2,1] => [1,2,2,1,2]
00100111 => [2,1,2,3] => [3,2,1,2]
00101000 => [2,1,1,1,3] => [3,1,1,1,2]
00101001 => [2,1,1,1,2,1] => [1,2,1,1,1,2]
00101010 => [2,1,1,1,1,1,1] => [1,1,1,1,1,1,2]
00101011 => [2,1,1,1,1,2] => [2,1,1,1,1,2]
00101100 => [2,1,1,2,2] => [2,2,1,1,2]
00101101 => [2,1,1,2,1,1] => [1,1,2,1,1,2]
00101110 => [2,1,1,3,1] => [1,3,1,1,2]
00101111 => [2,1,1,4] => [4,1,1,2]
00110000 => [2,2,4] => [4,2,2]
00110001 => [2,2,3,1] => [1,3,2,2]
00110010 => [2,2,2,1,1] => [1,1,2,2,2]
00110011 => [2,2,2,2] => [2,2,2,2]
00110100 => [2,2,1,1,2] => [2,1,1,2,2]
00110101 => [2,2,1,1,1,1] => [1,1,1,1,2,2]
00110110 => [2,2,1,2,1] => [1,2,1,2,2]
00110111 => [2,2,1,3] => [3,1,2,2]
00111000 => [2,3,3] => [3,3,2]
00111001 => [2,3,2,1] => [1,2,3,2]
00111010 => [2,3,1,1,1] => [1,1,1,3,2]
00111011 => [2,3,1,2] => [2,1,3,2]
00111100 => [2,4,2] => [2,4,2]
00111101 => [2,4,1,1] => [1,1,4,2]
00111110 => [2,5,1] => [1,5,2]
00111111 => [2,6] => [6,2]
01000000 => [1,1,6] => [6,1,1]
01000001 => [1,1,5,1] => [1,5,1,1]
01000010 => [1,1,4,1,1] => [1,1,4,1,1]
01000011 => [1,1,4,2] => [2,4,1,1]
01000100 => [1,1,3,1,2] => [2,1,3,1,1]
01000101 => [1,1,3,1,1,1] => [1,1,1,3,1,1]
01000110 => [1,1,3,2,1] => [1,2,3,1,1]
01000111 => [1,1,3,3] => [3,3,1,1]
01001000 => [1,1,2,1,3] => [3,1,2,1,1]
01001001 => [1,1,2,1,2,1] => [1,2,1,2,1,1]
01001010 => [1,1,2,1,1,1,1] => [1,1,1,1,2,1,1]
01001011 => [1,1,2,1,1,2] => [2,1,1,2,1,1]
01001100 => [1,1,2,2,2] => [2,2,2,1,1]
01001101 => [1,1,2,2,1,1] => [1,1,2,2,1,1]
01001110 => [1,1,2,3,1] => [1,3,2,1,1]
01001111 => [1,1,2,4] => [4,2,1,1]
01010000 => [1,1,1,1,4] => [4,1,1,1,1]
01010001 => [1,1,1,1,3,1] => [1,3,1,1,1,1]
01010010 => [1,1,1,1,2,1,1] => [1,1,2,1,1,1,1]
01010011 => [1,1,1,1,2,2] => [2,2,1,1,1,1]
01010100 => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1]
01010101 => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1]
01010110 => [1,1,1,1,1,2,1] => [1,2,1,1,1,1,1]
01010111 => [1,1,1,1,1,3] => [3,1,1,1,1,1]
01011000 => [1,1,1,2,3] => [3,2,1,1,1]
01011001 => [1,1,1,2,2,1] => [1,2,2,1,1,1]
01011010 => [1,1,1,2,1,1,1] => [1,1,1,2,1,1,1]
01011011 => [1,1,1,2,1,2] => [2,1,2,1,1,1]
01011100 => [1,1,1,3,2] => [2,3,1,1,1]
01011101 => [1,1,1,3,1,1] => [1,1,3,1,1,1]
01011110 => [1,1,1,4,1] => [1,4,1,1,1]
01011111 => [1,1,1,5] => [5,1,1,1]
01100000 => [1,2,5] => [5,2,1]
01100001 => [1,2,4,1] => [1,4,2,1]
01100010 => [1,2,3,1,1] => [1,1,3,2,1]
01100011 => [1,2,3,2] => [2,3,2,1]
01100100 => [1,2,2,1,2] => [2,1,2,2,1]
01100101 => [1,2,2,1,1,1] => [1,1,1,2,2,1]
01100110 => [1,2,2,2,1] => [1,2,2,2,1]
01100111 => [1,2,2,3] => [3,2,2,1]
01101000 => [1,2,1,1,3] => [3,1,1,2,1]
01101001 => [1,2,1,1,2,1] => [1,2,1,1,2,1]
01101010 => [1,2,1,1,1,1,1] => [1,1,1,1,1,2,1]
01101011 => [1,2,1,1,1,2] => [2,1,1,1,2,1]
01101100 => [1,2,1,2,2] => [2,2,1,2,1]
01101101 => [1,2,1,2,1,1] => [1,1,2,1,2,1]
01101110 => [1,2,1,3,1] => [1,3,1,2,1]
01101111 => [1,2,1,4] => [4,1,2,1]
01110000 => [1,3,4] => [4,3,1]
01110001 => [1,3,3,1] => [1,3,3,1]
01110010 => [1,3,2,1,1] => [1,1,2,3,1]
01110011 => [1,3,2,2] => [2,2,3,1]
01110100 => [1,3,1,1,2] => [2,1,1,3,1]
01110101 => [1,3,1,1,1,1] => [1,1,1,1,3,1]
01110110 => [1,3,1,2,1] => [1,2,1,3,1]
01110111 => [1,3,1,3] => [3,1,3,1]
01111000 => [1,4,3] => [3,4,1]
01111001 => [1,4,2,1] => [1,2,4,1]
01111010 => [1,4,1,1,1] => [1,1,1,4,1]
01111011 => [1,4,1,2] => [2,1,4,1]
01111100 => [1,5,2] => [2,5,1]
01111101 => [1,5,1,1] => [1,1,5,1]
01111110 => [1,6,1] => [1,6,1]
01111111 => [1,7] => [7,1]
10000000 => [1,7] => [7,1]
10000001 => [1,6,1] => [1,6,1]
10000010 => [1,5,1,1] => [1,1,5,1]
10000011 => [1,5,2] => [2,5,1]
10000100 => [1,4,1,2] => [2,1,4,1]
10000101 => [1,4,1,1,1] => [1,1,1,4,1]
10000110 => [1,4,2,1] => [1,2,4,1]
10000111 => [1,4,3] => [3,4,1]
10001000 => [1,3,1,3] => [3,1,3,1]
10001001 => [1,3,1,2,1] => [1,2,1,3,1]
10001010 => [1,3,1,1,1,1] => [1,1,1,1,3,1]
10001011 => [1,3,1,1,2] => [2,1,1,3,1]
10001100 => [1,3,2,2] => [2,2,3,1]
10001101 => [1,3,2,1,1] => [1,1,2,3,1]
10001110 => [1,3,3,1] => [1,3,3,1]
10001111 => [1,3,4] => [4,3,1]
10010000 => [1,2,1,4] => [4,1,2,1]
10010001 => [1,2,1,3,1] => [1,3,1,2,1]
10010010 => [1,2,1,2,1,1] => [1,1,2,1,2,1]
10010011 => [1,2,1,2,2] => [2,2,1,2,1]
10010100 => [1,2,1,1,1,2] => [2,1,1,1,2,1]
10010101 => [1,2,1,1,1,1,1] => [1,1,1,1,1,2,1]
10010110 => [1,2,1,1,2,1] => [1,2,1,1,2,1]
10010111 => [1,2,1,1,3] => [3,1,1,2,1]
10011000 => [1,2,2,3] => [3,2,2,1]
10011001 => [1,2,2,2,1] => [1,2,2,2,1]
10011010 => [1,2,2,1,1,1] => [1,1,1,2,2,1]
10011011 => [1,2,2,1,2] => [2,1,2,2,1]
10011100 => [1,2,3,2] => [2,3,2,1]
10011101 => [1,2,3,1,1] => [1,1,3,2,1]
10011110 => [1,2,4,1] => [1,4,2,1]
10011111 => [1,2,5] => [5,2,1]
10100000 => [1,1,1,5] => [5,1,1,1]
10100001 => [1,1,1,4,1] => [1,4,1,1,1]
10100010 => [1,1,1,3,1,1] => [1,1,3,1,1,1]
10100011 => [1,1,1,3,2] => [2,3,1,1,1]
10100100 => [1,1,1,2,1,2] => [2,1,2,1,1,1]
10100101 => [1,1,1,2,1,1,1] => [1,1,1,2,1,1,1]
10100110 => [1,1,1,2,2,1] => [1,2,2,1,1,1]
10100111 => [1,1,1,2,3] => [3,2,1,1,1]
10101000 => [1,1,1,1,1,3] => [3,1,1,1,1,1]
10101001 => [1,1,1,1,1,2,1] => [1,2,1,1,1,1,1]
10101010 => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1]
10101011 => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1]
10101100 => [1,1,1,1,2,2] => [2,2,1,1,1,1]
10101101 => [1,1,1,1,2,1,1] => [1,1,2,1,1,1,1]
10101110 => [1,1,1,1,3,1] => [1,3,1,1,1,1]
10101111 => [1,1,1,1,4] => [4,1,1,1,1]
10110000 => [1,1,2,4] => [4,2,1,1]
10110001 => [1,1,2,3,1] => [1,3,2,1,1]
10110010 => [1,1,2,2,1,1] => [1,1,2,2,1,1]
10110011 => [1,1,2,2,2] => [2,2,2,1,1]
10110100 => [1,1,2,1,1,2] => [2,1,1,2,1,1]
10110101 => [1,1,2,1,1,1,1] => [1,1,1,1,2,1,1]
10110110 => [1,1,2,1,2,1] => [1,2,1,2,1,1]
10110111 => [1,1,2,1,3] => [3,1,2,1,1]
10111000 => [1,1,3,3] => [3,3,1,1]
10111001 => [1,1,3,2,1] => [1,2,3,1,1]
10111010 => [1,1,3,1,1,1] => [1,1,1,3,1,1]
10111011 => [1,1,3,1,2] => [2,1,3,1,1]
10111100 => [1,1,4,2] => [2,4,1,1]
10111101 => [1,1,4,1,1] => [1,1,4,1,1]
10111110 => [1,1,5,1] => [1,5,1,1]
10111111 => [1,1,6] => [6,1,1]
11000000 => [2,6] => [6,2]
11000001 => [2,5,1] => [1,5,2]
11000010 => [2,4,1,1] => [1,1,4,2]
11000011 => [2,4,2] => [2,4,2]
11000100 => [2,3,1,2] => [2,1,3,2]
11000101 => [2,3,1,1,1] => [1,1,1,3,2]
11000110 => [2,3,2,1] => [1,2,3,2]
11000111 => [2,3,3] => [3,3,2]
11001000 => [2,2,1,3] => [3,1,2,2]
11001001 => [2,2,1,2,1] => [1,2,1,2,2]
11001010 => [2,2,1,1,1,1] => [1,1,1,1,2,2]
11001011 => [2,2,1,1,2] => [2,1,1,2,2]
11001100 => [2,2,2,2] => [2,2,2,2]
11001101 => [2,2,2,1,1] => [1,1,2,2,2]
11001110 => [2,2,3,1] => [1,3,2,2]
11001111 => [2,2,4] => [4,2,2]
11010000 => [2,1,1,4] => [4,1,1,2]
11010001 => [2,1,1,3,1] => [1,3,1,1,2]
11010010 => [2,1,1,2,1,1] => [1,1,2,1,1,2]
11010011 => [2,1,1,2,2] => [2,2,1,1,2]
11010100 => [2,1,1,1,1,2] => [2,1,1,1,1,2]
11010101 => [2,1,1,1,1,1,1] => [1,1,1,1,1,1,2]
11010110 => [2,1,1,1,2,1] => [1,2,1,1,1,2]
11010111 => [2,1,1,1,3] => [3,1,1,1,2]
11011000 => [2,1,2,3] => [3,2,1,2]
11011001 => [2,1,2,2,1] => [1,2,2,1,2]
11011010 => [2,1,2,1,1,1] => [1,1,1,2,1,2]
11011011 => [2,1,2,1,2] => [2,1,2,1,2]
11011100 => [2,1,3,2] => [2,3,1,2]
11011101 => [2,1,3,1,1] => [1,1,3,1,2]
11011110 => [2,1,4,1] => [1,4,1,2]
11011111 => [2,1,5] => [5,1,2]
11100000 => [3,5] => [5,3]
11100001 => [3,4,1] => [1,4,3]
11100010 => [3,3,1,1] => [1,1,3,3]
11100011 => [3,3,2] => [2,3,3]
11100100 => [3,2,1,2] => [2,1,2,3]
11100101 => [3,2,1,1,1] => [1,1,1,2,3]
11100110 => [3,2,2,1] => [1,2,2,3]
11100111 => [3,2,3] => [3,2,3]
11101000 => [3,1,1,3] => [3,1,1,3]
11101001 => [3,1,1,2,1] => [1,2,1,1,3]
11101010 => [3,1,1,1,1,1] => [1,1,1,1,1,3]
11101011 => [3,1,1,1,2] => [2,1,1,1,3]
11101100 => [3,1,2,2] => [2,2,1,3]
11101101 => [3,1,2,1,1] => [1,1,2,1,3]
11101110 => [3,1,3,1] => [1,3,1,3]
11101111 => [3,1,4] => [4,1,3]
11110000 => [4,4] => [4,4]
11110001 => [4,3,1] => [1,3,4]
11110010 => [4,2,1,1] => [1,1,2,4]
11110011 => [4,2,2] => [2,2,4]
11110100 => [4,1,1,2] => [2,1,1,4]
11110101 => [4,1,1,1,1] => [1,1,1,1,4]
11110110 => [4,1,2,1] => [1,2,1,4]
11110111 => [4,1,3] => [3,1,4]
11111000 => [5,3] => [3,5]
11111001 => [5,2,1] => [1,2,5]
11111010 => [5,1,1,1] => [1,1,1,5]
11111011 => [5,1,2] => [2,1,5]
11111100 => [6,2] => [2,6]
11111101 => [6,1,1] => [1,1,6]
11111110 => [7,1] => [1,7]
11111111 => [8] => [8]
000000000 => [9] => [9]
000000001 => [8,1] => [1,8]
000000010 => [7,1,1] => [1,1,7]
000000011 => [7,2] => [2,7]
000000100 => [6,1,2] => [2,1,6]
000000101 => [6,1,1,1] => [1,1,1,6]
000000110 => [6,2,1] => [1,2,6]
000000111 => [6,3] => [3,6]
000001000 => [5,1,3] => [3,1,5]
000001001 => [5,1,2,1] => [1,2,1,5]
000001010 => [5,1,1,1,1] => [1,1,1,1,5]
000001011 => [5,1,1,2] => [2,1,1,5]
000001100 => [5,2,2] => [2,2,5]
000001101 => [5,2,1,1] => [1,1,2,5]
000001110 => [5,3,1] => [1,3,5]
000001111 => [5,4] => [4,5]
000010000 => [4,1,4] => [4,1,4]
000010001 => [4,1,3,1] => [1,3,1,4]
000010010 => [4,1,2,1,1] => [1,1,2,1,4]
000010011 => [4,1,2,2] => [2,2,1,4]
000010100 => [4,1,1,1,2] => [2,1,1,1,4]
000010101 => [4,1,1,1,1,1] => [1,1,1,1,1,4]
000010110 => [4,1,1,2,1] => [1,2,1,1,4]
000010111 => [4,1,1,3] => [3,1,1,4]
000011000 => [4,2,3] => [3,2,4]
000011001 => [4,2,2,1] => [1,2,2,4]
000011010 => [4,2,1,1,1] => [1,1,1,2,4]
000011011 => [4,2,1,2] => [2,1,2,4]
000011100 => [4,3,2] => [2,3,4]
000011101 => [4,3,1,1] => [1,1,3,4]
000011110 => [4,4,1] => [1,4,4]
000011111 => [4,5] => [5,4]
000100000 => [3,1,5] => [5,1,3]
000100001 => [3,1,4,1] => [1,4,1,3]
000100010 => [3,1,3,1,1] => [1,1,3,1,3]
000100011 => [3,1,3,2] => [2,3,1,3]
000100100 => [3,1,2,1,2] => [2,1,2,1,3]
000100101 => [3,1,2,1,1,1] => [1,1,1,2,1,3]
000100110 => [3,1,2,2,1] => [1,2,2,1,3]
000100111 => [3,1,2,3] => [3,2,1,3]
000101000 => [3,1,1,1,3] => [3,1,1,1,3]
000101001 => [3,1,1,1,2,1] => [1,2,1,1,1,3]
000101010 => [3,1,1,1,1,1,1] => [1,1,1,1,1,1,3]
000101011 => [3,1,1,1,1,2] => [2,1,1,1,1,3]
000101100 => [3,1,1,2,2] => [2,2,1,1,3]
000101101 => [3,1,1,2,1,1] => [1,1,2,1,1,3]
000101110 => [3,1,1,3,1] => [1,3,1,1,3]
000101111 => [3,1,1,4] => [4,1,1,3]
000110000 => [3,2,4] => [4,2,3]
000110001 => [3,2,3,1] => [1,3,2,3]
000110010 => [3,2,2,1,1] => [1,1,2,2,3]
000110011 => [3,2,2,2] => [2,2,2,3]
000110100 => [3,2,1,1,2] => [2,1,1,2,3]
000110101 => [3,2,1,1,1,1] => [1,1,1,1,2,3]
000110110 => [3,2,1,2,1] => [1,2,1,2,3]
000110111 => [3,2,1,3] => [3,1,2,3]
000111000 => [3,3,3] => [3,3,3]
000111001 => [3,3,2,1] => [1,2,3,3]
000111010 => [3,3,1,1,1] => [1,1,1,3,3]
000111011 => [3,3,1,2] => [2,1,3,3]
000111100 => [3,4,2] => [2,4,3]
000111101 => [3,4,1,1] => [1,1,4,3]
000111110 => [3,5,1] => [1,5,3]
000111111 => [3,6] => [6,3]
001000000 => [2,1,6] => [6,1,2]
001000001 => [2,1,5,1] => [1,5,1,2]
001000010 => [2,1,4,1,1] => [1,1,4,1,2]
001000011 => [2,1,4,2] => [2,4,1,2]
001000100 => [2,1,3,1,2] => [2,1,3,1,2]
001000101 => [2,1,3,1,1,1] => [1,1,1,3,1,2]
001000110 => [2,1,3,2,1] => [1,2,3,1,2]
001000111 => [2,1,3,3] => [3,3,1,2]
001001000 => [2,1,2,1,3] => [3,1,2,1,2]
001001001 => [2,1,2,1,2,1] => [1,2,1,2,1,2]
001001010 => [2,1,2,1,1,1,1] => [1,1,1,1,2,1,2]
001001011 => [2,1,2,1,1,2] => [2,1,1,2,1,2]
001001100 => [2,1,2,2,2] => [2,2,2,1,2]
001001101 => [2,1,2,2,1,1] => [1,1,2,2,1,2]
001001110 => [2,1,2,3,1] => [1,3,2,1,2]
001001111 => [2,1,2,4] => [4,2,1,2]
001010000 => [2,1,1,1,4] => [4,1,1,1,2]
001010001 => [2,1,1,1,3,1] => [1,3,1,1,1,2]
001010010 => [2,1,1,1,2,1,1] => [1,1,2,1,1,1,2]
001010011 => [2,1,1,1,2,2] => [2,2,1,1,1,2]
001010100 => [2,1,1,1,1,1,2] => [2,1,1,1,1,1,2]
001010101 => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,2]
001010110 => [2,1,1,1,1,2,1] => [1,2,1,1,1,1,2]
001010111 => [2,1,1,1,1,3] => [3,1,1,1,1,2]
001011000 => [2,1,1,2,3] => [3,2,1,1,2]
001011001 => [2,1,1,2,2,1] => [1,2,2,1,1,2]
001011010 => [2,1,1,2,1,1,1] => [1,1,1,2,1,1,2]
001011011 => [2,1,1,2,1,2] => [2,1,2,1,1,2]
001011100 => [2,1,1,3,2] => [2,3,1,1,2]
001011101 => [2,1,1,3,1,1] => [1,1,3,1,1,2]
001011110 => [2,1,1,4,1] => [1,4,1,1,2]
001011111 => [2,1,1,5] => [5,1,1,2]
001100000 => [2,2,5] => [5,2,2]
001100001 => [2,2,4,1] => [1,4,2,2]
001100010 => [2,2,3,1,1] => [1,1,3,2,2]
001100011 => [2,2,3,2] => [2,3,2,2]
001100100 => [2,2,2,1,2] => [2,1,2,2,2]
001100101 => [2,2,2,1,1,1] => [1,1,1,2,2,2]
001100110 => [2,2,2,2,1] => [1,2,2,2,2]
001100111 => [2,2,2,3] => [3,2,2,2]
001101000 => [2,2,1,1,3] => [3,1,1,2,2]
001101001 => [2,2,1,1,2,1] => [1,2,1,1,2,2]
001101010 => [2,2,1,1,1,1,1] => [1,1,1,1,1,2,2]
001101011 => [2,2,1,1,1,2] => [2,1,1,1,2,2]
001101100 => [2,2,1,2,2] => [2,2,1,2,2]
001101101 => [2,2,1,2,1,1] => [1,1,2,1,2,2]
001101110 => [2,2,1,3,1] => [1,3,1,2,2]
001101111 => [2,2,1,4] => [4,1,2,2]
001110000 => [2,3,4] => [4,3,2]
001110001 => [2,3,3,1] => [1,3,3,2]
001110010 => [2,3,2,1,1] => [1,1,2,3,2]
001110011 => [2,3,2,2] => [2,2,3,2]
001110100 => [2,3,1,1,2] => [2,1,1,3,2]
001110101 => [2,3,1,1,1,1] => [1,1,1,1,3,2]
001110110 => [2,3,1,2,1] => [1,2,1,3,2]
001110111 => [2,3,1,3] => [3,1,3,2]
001111000 => [2,4,3] => [3,4,2]
001111001 => [2,4,2,1] => [1,2,4,2]
001111010 => [2,4,1,1,1] => [1,1,1,4,2]
001111011 => [2,4,1,2] => [2,1,4,2]
001111100 => [2,5,2] => [2,5,2]
001111101 => [2,5,1,1] => [1,1,5,2]
001111110 => [2,6,1] => [1,6,2]
001111111 => [2,7] => [7,2]
010000000 => [1,1,7] => [7,1,1]
010000001 => [1,1,6,1] => [1,6,1,1]
010000010 => [1,1,5,1,1] => [1,1,5,1,1]
010000011 => [1,1,5,2] => [2,5,1,1]
010000100 => [1,1,4,1,2] => [2,1,4,1,1]
010000101 => [1,1,4,1,1,1] => [1,1,1,4,1,1]
010000110 => [1,1,4,2,1] => [1,2,4,1,1]
010000111 => [1,1,4,3] => [3,4,1,1]
010001000 => [1,1,3,1,3] => [3,1,3,1,1]
010001001 => [1,1,3,1,2,1] => [1,2,1,3,1,1]
010001010 => [1,1,3,1,1,1,1] => [1,1,1,1,3,1,1]
010001011 => [1,1,3,1,1,2] => [2,1,1,3,1,1]
010001100 => [1,1,3,2,2] => [2,2,3,1,1]
010001101 => [1,1,3,2,1,1] => [1,1,2,3,1,1]
010001110 => [1,1,3,3,1] => [1,3,3,1,1]
010001111 => [1,1,3,4] => [4,3,1,1]
010010000 => [1,1,2,1,4] => [4,1,2,1,1]
010010001 => [1,1,2,1,3,1] => [1,3,1,2,1,1]
010010010 => [1,1,2,1,2,1,1] => [1,1,2,1,2,1,1]
010010011 => [1,1,2,1,2,2] => [2,2,1,2,1,1]
010010100 => [1,1,2,1,1,1,2] => [2,1,1,1,2,1,1]
010010101 => [1,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,1]
010010110 => [1,1,2,1,1,2,1] => [1,2,1,1,2,1,1]
010010111 => [1,1,2,1,1,3] => [3,1,1,2,1,1]
010011000 => [1,1,2,2,3] => [3,2,2,1,1]
010011001 => [1,1,2,2,2,1] => [1,2,2,2,1,1]
010011010 => [1,1,2,2,1,1,1] => [1,1,1,2,2,1,1]
010011011 => [1,1,2,2,1,2] => [2,1,2,2,1,1]
010011100 => [1,1,2,3,2] => [2,3,2,1,1]
010011101 => [1,1,2,3,1,1] => [1,1,3,2,1,1]
010011110 => [1,1,2,4,1] => [1,4,2,1,1]
010011111 => [1,1,2,5] => [5,2,1,1]
010100000 => [1,1,1,1,5] => [5,1,1,1,1]
010100001 => [1,1,1,1,4,1] => [1,4,1,1,1,1]
010100010 => [1,1,1,1,3,1,1] => [1,1,3,1,1,1,1]
010100011 => [1,1,1,1,3,2] => [2,3,1,1,1,1]
010100100 => [1,1,1,1,2,1,2] => [2,1,2,1,1,1,1]
010100101 => [1,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,1]
010100110 => [1,1,1,1,2,2,1] => [1,2,2,1,1,1,1]
010100111 => [1,1,1,1,2,3] => [3,2,1,1,1,1]
010101000 => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1]
010101001 => [1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1]
010101010 => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1]
010101011 => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1]
010101100 => [1,1,1,1,1,2,2] => [2,2,1,1,1,1,1]
010101101 => [1,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,1]
010101110 => [1,1,1,1,1,3,1] => [1,3,1,1,1,1,1]
010101111 => [1,1,1,1,1,4] => [4,1,1,1,1,1]
010110000 => [1,1,1,2,4] => [4,2,1,1,1]
010110001 => [1,1,1,2,3,1] => [1,3,2,1,1,1]
010110010 => [1,1,1,2,2,1,1] => [1,1,2,2,1,1,1]
010110011 => [1,1,1,2,2,2] => [2,2,2,1,1,1]
010110100 => [1,1,1,2,1,1,2] => [2,1,1,2,1,1,1]
010110101 => [1,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,1]
010110110 => [1,1,1,2,1,2,1] => [1,2,1,2,1,1,1]
010110111 => [1,1,1,2,1,3] => [3,1,2,1,1,1]
010111000 => [1,1,1,3,3] => [3,3,1,1,1]
010111001 => [1,1,1,3,2,1] => [1,2,3,1,1,1]
010111010 => [1,1,1,3,1,1,1] => [1,1,1,3,1,1,1]
010111011 => [1,1,1,3,1,2] => [2,1,3,1,1,1]
010111100 => [1,1,1,4,2] => [2,4,1,1,1]
010111101 => [1,1,1,4,1,1] => [1,1,4,1,1,1]
010111110 => [1,1,1,5,1] => [1,5,1,1,1]
010111111 => [1,1,1,6] => [6,1,1,1]
011000000 => [1,2,6] => [6,2,1]
011000001 => [1,2,5,1] => [1,5,2,1]
011000010 => [1,2,4,1,1] => [1,1,4,2,1]
011000011 => [1,2,4,2] => [2,4,2,1]
011000100 => [1,2,3,1,2] => [2,1,3,2,1]
011000101 => [1,2,3,1,1,1] => [1,1,1,3,2,1]
011000110 => [1,2,3,2,1] => [1,2,3,2,1]
011000111 => [1,2,3,3] => [3,3,2,1]
011001000 => [1,2,2,1,3] => [3,1,2,2,1]
011001001 => [1,2,2,1,2,1] => [1,2,1,2,2,1]
011001010 => [1,2,2,1,1,1,1] => [1,1,1,1,2,2,1]
011001011 => [1,2,2,1,1,2] => [2,1,1,2,2,1]
011001100 => [1,2,2,2,2] => [2,2,2,2,1]
011001101 => [1,2,2,2,1,1] => [1,1,2,2,2,1]
011001110 => [1,2,2,3,1] => [1,3,2,2,1]
011001111 => [1,2,2,4] => [4,2,2,1]
011010000 => [1,2,1,1,4] => [4,1,1,2,1]
011010001 => [1,2,1,1,3,1] => [1,3,1,1,2,1]
011010010 => [1,2,1,1,2,1,1] => [1,1,2,1,1,2,1]
011010011 => [1,2,1,1,2,2] => [2,2,1,1,2,1]
011010100 => [1,2,1,1,1,1,2] => [2,1,1,1,1,2,1]
011010101 => [1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1]
011010110 => [1,2,1,1,1,2,1] => [1,2,1,1,1,2,1]
011010111 => [1,2,1,1,1,3] => [3,1,1,1,2,1]
011011000 => [1,2,1,2,3] => [3,2,1,2,1]
011011001 => [1,2,1,2,2,1] => [1,2,2,1,2,1]
011011010 => [1,2,1,2,1,1,1] => [1,1,1,2,1,2,1]
011011011 => [1,2,1,2,1,2] => [2,1,2,1,2,1]
011011100 => [1,2,1,3,2] => [2,3,1,2,1]
011011101 => [1,2,1,3,1,1] => [1,1,3,1,2,1]
011011110 => [1,2,1,4,1] => [1,4,1,2,1]
011011111 => [1,2,1,5] => [5,1,2,1]
011100000 => [1,3,5] => [5,3,1]
011100001 => [1,3,4,1] => [1,4,3,1]
011100010 => [1,3,3,1,1] => [1,1,3,3,1]
011100011 => [1,3,3,2] => [2,3,3,1]
011100100 => [1,3,2,1,2] => [2,1,2,3,1]
011100101 => [1,3,2,1,1,1] => [1,1,1,2,3,1]
011100110 => [1,3,2,2,1] => [1,2,2,3,1]
011100111 => [1,3,2,3] => [3,2,3,1]
011101000 => [1,3,1,1,3] => [3,1,1,3,1]
011101001 => [1,3,1,1,2,1] => [1,2,1,1,3,1]
011101010 => [1,3,1,1,1,1,1] => [1,1,1,1,1,3,1]
011101011 => [1,3,1,1,1,2] => [2,1,1,1,3,1]
011101100 => [1,3,1,2,2] => [2,2,1,3,1]
011101101 => [1,3,1,2,1,1] => [1,1,2,1,3,1]
011101110 => [1,3,1,3,1] => [1,3,1,3,1]
011101111 => [1,3,1,4] => [4,1,3,1]
011110000 => [1,4,4] => [4,4,1]
011110001 => [1,4,3,1] => [1,3,4,1]
011110010 => [1,4,2,1,1] => [1,1,2,4,1]
011110011 => [1,4,2,2] => [2,2,4,1]
011110100 => [1,4,1,1,2] => [2,1,1,4,1]
011110101 => [1,4,1,1,1,1] => [1,1,1,1,4,1]
011110110 => [1,4,1,2,1] => [1,2,1,4,1]
011110111 => [1,4,1,3] => [3,1,4,1]
011111000 => [1,5,3] => [3,5,1]
011111001 => [1,5,2,1] => [1,2,5,1]
011111010 => [1,5,1,1,1] => [1,1,1,5,1]
011111011 => [1,5,1,2] => [2,1,5,1]
011111100 => [1,6,2] => [2,6,1]
011111101 => [1,6,1,1] => [1,1,6,1]
011111110 => [1,7,1] => [1,7,1]
011111111 => [1,8] => [8,1]
100000000 => [1,8] => [8,1]
100000001 => [1,7,1] => [1,7,1]
100000010 => [1,6,1,1] => [1,1,6,1]
100000011 => [1,6,2] => [2,6,1]
100000100 => [1,5,1,2] => [2,1,5,1]
100000101 => [1,5,1,1,1] => [1,1,1,5,1]
100000110 => [1,5,2,1] => [1,2,5,1]
100000111 => [1,5,3] => [3,5,1]
100001000 => [1,4,1,3] => [3,1,4,1]
100001001 => [1,4,1,2,1] => [1,2,1,4,1]
100001010 => [1,4,1,1,1,1] => [1,1,1,1,4,1]
100001011 => [1,4,1,1,2] => [2,1,1,4,1]
100001100 => [1,4,2,2] => [2,2,4,1]
100001101 => [1,4,2,1,1] => [1,1,2,4,1]
100001110 => [1,4,3,1] => [1,3,4,1]
100001111 => [1,4,4] => [4,4,1]
100010000 => [1,3,1,4] => [4,1,3,1]
100010001 => [1,3,1,3,1] => [1,3,1,3,1]
100010010 => [1,3,1,2,1,1] => [1,1,2,1,3,1]
100010011 => [1,3,1,2,2] => [2,2,1,3,1]
100010100 => [1,3,1,1,1,2] => [2,1,1,1,3,1]
100010101 => [1,3,1,1,1,1,1] => [1,1,1,1,1,3,1]
100010110 => [1,3,1,1,2,1] => [1,2,1,1,3,1]
100010111 => [1,3,1,1,3] => [3,1,1,3,1]
100011000 => [1,3,2,3] => [3,2,3,1]
100011001 => [1,3,2,2,1] => [1,2,2,3,1]
100011010 => [1,3,2,1,1,1] => [1,1,1,2,3,1]
100011011 => [1,3,2,1,2] => [2,1,2,3,1]
100011100 => [1,3,3,2] => [2,3,3,1]
100011101 => [1,3,3,1,1] => [1,1,3,3,1]
100011110 => [1,3,4,1] => [1,4,3,1]
100011111 => [1,3,5] => [5,3,1]
100100000 => [1,2,1,5] => [5,1,2,1]
100100001 => [1,2,1,4,1] => [1,4,1,2,1]
100100010 => [1,2,1,3,1,1] => [1,1,3,1,2,1]
100100011 => [1,2,1,3,2] => [2,3,1,2,1]
100100100 => [1,2,1,2,1,2] => [2,1,2,1,2,1]
100100101 => [1,2,1,2,1,1,1] => [1,1,1,2,1,2,1]
100100110 => [1,2,1,2,2,1] => [1,2,2,1,2,1]
100100111 => [1,2,1,2,3] => [3,2,1,2,1]
100101000 => [1,2,1,1,1,3] => [3,1,1,1,2,1]
100101001 => [1,2,1,1,1,2,1] => [1,2,1,1,1,2,1]
100101010 => [1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1]
100101011 => [1,2,1,1,1,1,2] => [2,1,1,1,1,2,1]
100101100 => [1,2,1,1,2,2] => [2,2,1,1,2,1]
100101101 => [1,2,1,1,2,1,1] => [1,1,2,1,1,2,1]
100101110 => [1,2,1,1,3,1] => [1,3,1,1,2,1]
100101111 => [1,2,1,1,4] => [4,1,1,2,1]
100110000 => [1,2,2,4] => [4,2,2,1]
100110001 => [1,2,2,3,1] => [1,3,2,2,1]
100110010 => [1,2,2,2,1,1] => [1,1,2,2,2,1]
100110011 => [1,2,2,2,2] => [2,2,2,2,1]
100110100 => [1,2,2,1,1,2] => [2,1,1,2,2,1]
100110101 => [1,2,2,1,1,1,1] => [1,1,1,1,2,2,1]
100110110 => [1,2,2,1,2,1] => [1,2,1,2,2,1]
100110111 => [1,2,2,1,3] => [3,1,2,2,1]
100111000 => [1,2,3,3] => [3,3,2,1]
100111001 => [1,2,3,2,1] => [1,2,3,2,1]
100111010 => [1,2,3,1,1,1] => [1,1,1,3,2,1]
100111011 => [1,2,3,1,2] => [2,1,3,2,1]
100111100 => [1,2,4,2] => [2,4,2,1]
100111101 => [1,2,4,1,1] => [1,1,4,2,1]
100111110 => [1,2,5,1] => [1,5,2,1]
100111111 => [1,2,6] => [6,2,1]
101000000 => [1,1,1,6] => [6,1,1,1]
101000001 => [1,1,1,5,1] => [1,5,1,1,1]
101000010 => [1,1,1,4,1,1] => [1,1,4,1,1,1]
101000011 => [1,1,1,4,2] => [2,4,1,1,1]
101000100 => [1,1,1,3,1,2] => [2,1,3,1,1,1]
101000101 => [1,1,1,3,1,1,1] => [1,1,1,3,1,1,1]
101000110 => [1,1,1,3,2,1] => [1,2,3,1,1,1]
101000111 => [1,1,1,3,3] => [3,3,1,1,1]
101001000 => [1,1,1,2,1,3] => [3,1,2,1,1,1]
101001001 => [1,1,1,2,1,2,1] => [1,2,1,2,1,1,1]
101001010 => [1,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,1]
101001011 => [1,1,1,2,1,1,2] => [2,1,1,2,1,1,1]
101001100 => [1,1,1,2,2,2] => [2,2,2,1,1,1]
101001101 => [1,1,1,2,2,1,1] => [1,1,2,2,1,1,1]
101001110 => [1,1,1,2,3,1] => [1,3,2,1,1,1]
101001111 => [1,1,1,2,4] => [4,2,1,1,1]
101010000 => [1,1,1,1,1,4] => [4,1,1,1,1,1]
101010001 => [1,1,1,1,1,3,1] => [1,3,1,1,1,1,1]
101010010 => [1,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,1]
101010011 => [1,1,1,1,1,2,2] => [2,2,1,1,1,1,1]
101010100 => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1]
101010101 => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1]
101010110 => [1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1]
101010111 => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1]
101011000 => [1,1,1,1,2,3] => [3,2,1,1,1,1]
101011001 => [1,1,1,1,2,2,1] => [1,2,2,1,1,1,1]
101011010 => [1,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,1]
101011011 => [1,1,1,1,2,1,2] => [2,1,2,1,1,1,1]
101011100 => [1,1,1,1,3,2] => [2,3,1,1,1,1]
101011101 => [1,1,1,1,3,1,1] => [1,1,3,1,1,1,1]
101011110 => [1,1,1,1,4,1] => [1,4,1,1,1,1]
101011111 => [1,1,1,1,5] => [5,1,1,1,1]
101100000 => [1,1,2,5] => [5,2,1,1]
101100001 => [1,1,2,4,1] => [1,4,2,1,1]
101100010 => [1,1,2,3,1,1] => [1,1,3,2,1,1]
101100011 => [1,1,2,3,2] => [2,3,2,1,1]
101100100 => [1,1,2,2,1,2] => [2,1,2,2,1,1]
101100101 => [1,1,2,2,1,1,1] => [1,1,1,2,2,1,1]
101100110 => [1,1,2,2,2,1] => [1,2,2,2,1,1]
101100111 => [1,1,2,2,3] => [3,2,2,1,1]
101101000 => [1,1,2,1,1,3] => [3,1,1,2,1,1]
101101001 => [1,1,2,1,1,2,1] => [1,2,1,1,2,1,1]
101101010 => [1,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,1]
101101011 => [1,1,2,1,1,1,2] => [2,1,1,1,2,1,1]
101101100 => [1,1,2,1,2,2] => [2,2,1,2,1,1]
101101101 => [1,1,2,1,2,1,1] => [1,1,2,1,2,1,1]
101101110 => [1,1,2,1,3,1] => [1,3,1,2,1,1]
101101111 => [1,1,2,1,4] => [4,1,2,1,1]
101110000 => [1,1,3,4] => [4,3,1,1]
101110001 => [1,1,3,3,1] => [1,3,3,1,1]
101110010 => [1,1,3,2,1,1] => [1,1,2,3,1,1]
101110011 => [1,1,3,2,2] => [2,2,3,1,1]
101110100 => [1,1,3,1,1,2] => [2,1,1,3,1,1]
101110101 => [1,1,3,1,1,1,1] => [1,1,1,1,3,1,1]
101110110 => [1,1,3,1,2,1] => [1,2,1,3,1,1]
101110111 => [1,1,3,1,3] => [3,1,3,1,1]
101111000 => [1,1,4,3] => [3,4,1,1]
101111001 => [1,1,4,2,1] => [1,2,4,1,1]
101111010 => [1,1,4,1,1,1] => [1,1,1,4,1,1]
101111011 => [1,1,4,1,2] => [2,1,4,1,1]
101111100 => [1,1,5,2] => [2,5,1,1]
101111101 => [1,1,5,1,1] => [1,1,5,1,1]
101111110 => [1,1,6,1] => [1,6,1,1]
101111111 => [1,1,7] => [7,1,1]
110000000 => [2,7] => [7,2]
110000001 => [2,6,1] => [1,6,2]
110000010 => [2,5,1,1] => [1,1,5,2]
110000011 => [2,5,2] => [2,5,2]
110000100 => [2,4,1,2] => [2,1,4,2]
110000101 => [2,4,1,1,1] => [1,1,1,4,2]
110000110 => [2,4,2,1] => [1,2,4,2]
110000111 => [2,4,3] => [3,4,2]
110001000 => [2,3,1,3] => [3,1,3,2]
110001001 => [2,3,1,2,1] => [1,2,1,3,2]
110001010 => [2,3,1,1,1,1] => [1,1,1,1,3,2]
110001011 => [2,3,1,1,2] => [2,1,1,3,2]
110001100 => [2,3,2,2] => [2,2,3,2]
110001101 => [2,3,2,1,1] => [1,1,2,3,2]
110001110 => [2,3,3,1] => [1,3,3,2]
110001111 => [2,3,4] => [4,3,2]
110010000 => [2,2,1,4] => [4,1,2,2]
110010001 => [2,2,1,3,1] => [1,3,1,2,2]
110010010 => [2,2,1,2,1,1] => [1,1,2,1,2,2]
110010011 => [2,2,1,2,2] => [2,2,1,2,2]
110010100 => [2,2,1,1,1,2] => [2,1,1,1,2,2]
110010101 => [2,2,1,1,1,1,1] => [1,1,1,1,1,2,2]
110010110 => [2,2,1,1,2,1] => [1,2,1,1,2,2]
110010111 => [2,2,1,1,3] => [3,1,1,2,2]
110011000 => [2,2,2,3] => [3,2,2,2]
110011001 => [2,2,2,2,1] => [1,2,2,2,2]
110011010 => [2,2,2,1,1,1] => [1,1,1,2,2,2]
110011011 => [2,2,2,1,2] => [2,1,2,2,2]
110011100 => [2,2,3,2] => [2,3,2,2]
110011101 => [2,2,3,1,1] => [1,1,3,2,2]
110011110 => [2,2,4,1] => [1,4,2,2]
110011111 => [2,2,5] => [5,2,2]
110100000 => [2,1,1,5] => [5,1,1,2]
110100001 => [2,1,1,4,1] => [1,4,1,1,2]
110100010 => [2,1,1,3,1,1] => [1,1,3,1,1,2]
110100011 => [2,1,1,3,2] => [2,3,1,1,2]
110100100 => [2,1,1,2,1,2] => [2,1,2,1,1,2]
110100101 => [2,1,1,2,1,1,1] => [1,1,1,2,1,1,2]
110100110 => [2,1,1,2,2,1] => [1,2,2,1,1,2]
110100111 => [2,1,1,2,3] => [3,2,1,1,2]
110101000 => [2,1,1,1,1,3] => [3,1,1,1,1,2]
110101001 => [2,1,1,1,1,2,1] => [1,2,1,1,1,1,2]
110101010 => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,2]
110101011 => [2,1,1,1,1,1,2] => [2,1,1,1,1,1,2]
110101100 => [2,1,1,1,2,2] => [2,2,1,1,1,2]
110101101 => [2,1,1,1,2,1,1] => [1,1,2,1,1,1,2]
110101110 => [2,1,1,1,3,1] => [1,3,1,1,1,2]
110101111 => [2,1,1,1,4] => [4,1,1,1,2]
110110000 => [2,1,2,4] => [4,2,1,2]
110110001 => [2,1,2,3,1] => [1,3,2,1,2]
110110010 => [2,1,2,2,1,1] => [1,1,2,2,1,2]
110110011 => [2,1,2,2,2] => [2,2,2,1,2]
110110100 => [2,1,2,1,1,2] => [2,1,1,2,1,2]
110110101 => [2,1,2,1,1,1,1] => [1,1,1,1,2,1,2]
110110110 => [2,1,2,1,2,1] => [1,2,1,2,1,2]
110110111 => [2,1,2,1,3] => [3,1,2,1,2]
110111000 => [2,1,3,3] => [3,3,1,2]
110111001 => [2,1,3,2,1] => [1,2,3,1,2]
110111010 => [2,1,3,1,1,1] => [1,1,1,3,1,2]
110111011 => [2,1,3,1,2] => [2,1,3,1,2]
110111100 => [2,1,4,2] => [2,4,1,2]
110111101 => [2,1,4,1,1] => [1,1,4,1,2]
110111110 => [2,1,5,1] => [1,5,1,2]
110111111 => [2,1,6] => [6,1,2]
111000000 => [3,6] => [6,3]
111000001 => [3,5,1] => [1,5,3]
111000010 => [3,4,1,1] => [1,1,4,3]
111000011 => [3,4,2] => [2,4,3]
111000100 => [3,3,1,2] => [2,1,3,3]
111000101 => [3,3,1,1,1] => [1,1,1,3,3]
111000110 => [3,3,2,1] => [1,2,3,3]
111000111 => [3,3,3] => [3,3,3]
111001000 => [3,2,1,3] => [3,1,2,3]
111001001 => [3,2,1,2,1] => [1,2,1,2,3]
111001010 => [3,2,1,1,1,1] => [1,1,1,1,2,3]
111001011 => [3,2,1,1,2] => [2,1,1,2,3]
111001100 => [3,2,2,2] => [2,2,2,3]
111001101 => [3,2,2,1,1] => [1,1,2,2,3]
111001110 => [3,2,3,1] => [1,3,2,3]
111001111 => [3,2,4] => [4,2,3]
111010000 => [3,1,1,4] => [4,1,1,3]
111010001 => [3,1,1,3,1] => [1,3,1,1,3]
111010010 => [3,1,1,2,1,1] => [1,1,2,1,1,3]
111010011 => [3,1,1,2,2] => [2,2,1,1,3]
111010100 => [3,1,1,1,1,2] => [2,1,1,1,1,3]
111010101 => [3,1,1,1,1,1,1] => [1,1,1,1,1,1,3]
111010110 => [3,1,1,1,2,1] => [1,2,1,1,1,3]
111010111 => [3,1,1,1,3] => [3,1,1,1,3]
111011000 => [3,1,2,3] => [3,2,1,3]
111011001 => [3,1,2,2,1] => [1,2,2,1,3]
111011010 => [3,1,2,1,1,1] => [1,1,1,2,1,3]
111011011 => [3,1,2,1,2] => [2,1,2,1,3]
111011100 => [3,1,3,2] => [2,3,1,3]
111011101 => [3,1,3,1,1] => [1,1,3,1,3]
111011110 => [3,1,4,1] => [1,4,1,3]
111011111 => [3,1,5] => [5,1,3]
111100000 => [4,5] => [5,4]
111100001 => [4,4,1] => [1,4,4]
111100010 => [4,3,1,1] => [1,1,3,4]
111100011 => [4,3,2] => [2,3,4]
111100100 => [4,2,1,2] => [2,1,2,4]
111100101 => [4,2,1,1,1] => [1,1,1,2,4]
111100110 => [4,2,2,1] => [1,2,2,4]
111100111 => [4,2,3] => [3,2,4]
111101000 => [4,1,1,3] => [3,1,1,4]
111101001 => [4,1,1,2,1] => [1,2,1,1,4]
111101010 => [4,1,1,1,1,1] => [1,1,1,1,1,4]
111101011 => [4,1,1,1,2] => [2,1,1,1,4]
111101100 => [4,1,2,2] => [2,2,1,4]
111101101 => [4,1,2,1,1] => [1,1,2,1,4]
111101110 => [4,1,3,1] => [1,3,1,4]
111101111 => [4,1,4] => [4,1,4]
111110000 => [5,4] => [4,5]
111110001 => [5,3,1] => [1,3,5]
111110010 => [5,2,1,1] => [1,1,2,5]
111110011 => [5,2,2] => [2,2,5]
111110100 => [5,1,1,2] => [2,1,1,5]
111110101 => [5,1,1,1,1] => [1,1,1,1,5]
111110110 => [5,1,2,1] => [1,2,1,5]
111110111 => [5,1,3] => [3,1,5]
111111000 => [6,3] => [3,6]
111111001 => [6,2,1] => [1,2,6]
111111010 => [6,1,1,1] => [1,1,1,6]
111111011 => [6,1,2] => [2,1,6]
111111100 => [7,2] => [2,7]
111111101 => [7,1,1] => [1,1,7]
111111110 => [8,1] => [1,8]
111111111 => [9] => [9]
1010101010 => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1]
1010101100 => [1,1,1,1,1,1,2,2] => [2,2,1,1,1,1,1,1]
1010110010 => [1,1,1,1,2,2,1,1] => [1,1,2,2,1,1,1,1]
1010110100 => [1,1,1,1,2,1,1,2] => [2,1,1,2,1,1,1,1]
1010111000 => [1,1,1,1,3,3] => [3,3,1,1,1,1]
1011001010 => [1,1,2,2,1,1,1,1] => [1,1,1,1,2,2,1,1]
1011001100 => [1,1,2,2,2,2] => [2,2,2,2,1,1]
1011010010 => [1,1,2,1,1,2,1,1] => [1,1,2,1,1,2,1,1]
1011010100 => [1,1,2,1,1,1,1,2] => [2,1,1,1,1,2,1,1]
1011011000 => [1,1,2,1,2,3] => [3,2,1,2,1,1]
1011100010 => [1,1,3,3,1,1] => [1,1,3,3,1,1]
1011100100 => [1,1,3,2,1,2] => [2,1,2,3,1,1]
1011101000 => [1,1,3,1,1,3] => [3,1,1,3,1,1]
1011110000 => [1,1,4,4] => [4,4,1,1]
1100101010 => [2,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,2]
1100101100 => [2,2,1,1,2,2] => [2,2,1,1,2,2]
1100110010 => [2,2,2,2,1,1] => [1,1,2,2,2,2]
1100110100 => [2,2,2,1,1,2] => [2,1,1,2,2,2]
1100111000 => [2,2,3,3] => [3,3,2,2]
1101001010 => [2,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,2]
1101001100 => [2,1,1,2,2,2] => [2,2,2,1,1,2]
1101010010 => [2,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,2]
1101010100 => [2,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,2]
1101011000 => [2,1,1,1,2,3] => [3,2,1,1,1,2]
1101100010 => [2,1,2,3,1,1] => [1,1,3,2,1,2]
1101100100 => [2,1,2,2,1,2] => [2,1,2,2,1,2]
1101101000 => [2,1,2,1,1,3] => [3,1,1,2,1,2]
1101110000 => [2,1,3,4] => [4,3,1,2]
1110001010 => [3,3,1,1,1,1] => [1,1,1,1,3,3]
1110001100 => [3,3,2,2] => [2,2,3,3]
1110010010 => [3,2,1,2,1,1] => [1,1,2,1,2,3]
1110010100 => [3,2,1,1,1,2] => [2,1,1,1,2,3]
1110011000 => [3,2,2,3] => [3,2,2,3]
1110100010 => [3,1,1,3,1,1] => [1,1,3,1,1,3]
1110100100 => [3,1,1,2,1,2] => [2,1,2,1,1,3]
1110101000 => [3,1,1,1,1,3] => [3,1,1,1,1,3]
1110110000 => [3,1,2,4] => [4,2,1,3]
1111000010 => [4,4,1,1] => [1,1,4,4]
1111000100 => [4,3,1,2] => [2,1,3,4]
1111001000 => [4,2,1,3] => [3,1,2,4]
1111010000 => [4,1,1,4] => [4,1,1,4]
1111100000 => [5,5] => [5,5]
101010101010 => [1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1]
101010101100 => [1,1,1,1,1,1,1,1,2,2] => [2,2,1,1,1,1,1,1,1,1]
101010110010 => [1,1,1,1,1,1,2,2,1,1] => [1,1,2,2,1,1,1,1,1,1]
101010110100 => [1,1,1,1,1,1,2,1,1,2] => [2,1,1,2,1,1,1,1,1,1]
101010111000 => [1,1,1,1,1,1,3,3] => [3,3,1,1,1,1,1,1]
101011001010 => [1,1,1,1,2,2,1,1,1,1] => [1,1,1,1,2,2,1,1,1,1]
101011001100 => [1,1,1,1,2,2,2,2] => [2,2,2,2,1,1,1,1]
101011010010 => [1,1,1,1,2,1,1,2,1,1] => [1,1,2,1,1,2,1,1,1,1]
101011010100 => [1,1,1,1,2,1,1,1,1,2] => [2,1,1,1,1,2,1,1,1,1]
101011011000 => [1,1,1,1,2,1,2,3] => [3,2,1,2,1,1,1,1]
101011100010 => [1,1,1,1,3,3,1,1] => [1,1,3,3,1,1,1,1]
101011100100 => [1,1,1,1,3,2,1,2] => [2,1,2,3,1,1,1,1]
101011101000 => [1,1,1,1,3,1,1,3] => [3,1,1,3,1,1,1,1]
101011110000 => [1,1,1,1,4,4] => [4,4,1,1,1,1]
101100101010 => [1,1,2,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,2,1,1]
101100101100 => [1,1,2,2,1,1,2,2] => [2,2,1,1,2,2,1,1]
101100110010 => [1,1,2,2,2,2,1,1] => [1,1,2,2,2,2,1,1]
101100110100 => [1,1,2,2,2,1,1,2] => [2,1,1,2,2,2,1,1]
101100111000 => [1,1,2,2,3,3] => [3,3,2,2,1,1]
101101001010 => [1,1,2,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,2,1,1]
101101001100 => [1,1,2,1,1,2,2,2] => [2,2,2,1,1,2,1,1]
101101010010 => [1,1,2,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,2,1,1]
101101010100 => [1,1,2,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,2,1,1]
101101011000 => [1,1,2,1,1,1,2,3] => [3,2,1,1,1,2,1,1]
101101100010 => [1,1,2,1,2,3,1,1] => [1,1,3,2,1,2,1,1]
101101100100 => [1,1,2,1,2,2,1,2] => [2,1,2,2,1,2,1,1]
101101101000 => [1,1,2,1,2,1,1,3] => [3,1,1,2,1,2,1,1]
101101110000 => [1,1,2,1,3,4] => [4,3,1,2,1,1]
101110001010 => [1,1,3,3,1,1,1,1] => [1,1,1,1,3,3,1,1]
101110001100 => [1,1,3,3,2,2] => [2,2,3,3,1,1]
101110010010 => [1,1,3,2,1,2,1,1] => [1,1,2,1,2,3,1,1]
101110010100 => [1,1,3,2,1,1,1,2] => [2,1,1,1,2,3,1,1]
101110011000 => [1,1,3,2,2,3] => [3,2,2,3,1,1]
101110100010 => [1,1,3,1,1,3,1,1] => [1,1,3,1,1,3,1,1]
101110100100 => [1,1,3,1,1,2,1,2] => [2,1,2,1,1,3,1,1]
101110101000 => [1,1,3,1,1,1,1,3] => [3,1,1,1,1,3,1,1]
101110110000 => [1,1,3,1,2,4] => [4,2,1,3,1,1]
101111000010 => [1,1,4,4,1,1] => [1,1,4,4,1,1]
101111000100 => [1,1,4,3,1,2] => [2,1,3,4,1,1]
101111001000 => [1,1,4,2,1,3] => [3,1,2,4,1,1]
101111010000 => [1,1,4,1,1,4] => [4,1,1,4,1,1]
101111100000 => [1,1,5,5] => [5,5,1,1]
110010101010 => [2,2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,2,2]
110010101100 => [2,2,1,1,1,1,2,2] => [2,2,1,1,1,1,2,2]
110010110010 => [2,2,1,1,2,2,1,1] => [1,1,2,2,1,1,2,2]
110010110100 => [2,2,1,1,2,1,1,2] => [2,1,1,2,1,1,2,2]
110010111000 => [2,2,1,1,3,3] => [3,3,1,1,2,2]
110011001010 => [2,2,2,2,1,1,1,1] => [1,1,1,1,2,2,2,2]
110011001100 => [2,2,2,2,2,2] => [2,2,2,2,2,2]
110011010010 => [2,2,2,1,1,2,1,1] => [1,1,2,1,1,2,2,2]
110011010100 => [2,2,2,1,1,1,1,2] => [2,1,1,1,1,2,2,2]
110011011000 => [2,2,2,1,2,3] => [3,2,1,2,2,2]
110011100010 => [2,2,3,3,1,1] => [1,1,3,3,2,2]
110011100100 => [2,2,3,2,1,2] => [2,1,2,3,2,2]
110011101000 => [2,2,3,1,1,3] => [3,1,1,3,2,2]
110011110000 => [2,2,4,4] => [4,4,2,2]
110100101010 => [2,1,1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1,1,2]
110100101100 => [2,1,1,2,1,1,2,2] => [2,2,1,1,2,1,1,2]
110100110010 => [2,1,1,2,2,2,1,1] => [1,1,2,2,2,1,1,2]
110100110100 => [2,1,1,2,2,1,1,2] => [2,1,1,2,2,1,1,2]
110100111000 => [2,1,1,2,3,3] => [3,3,2,1,1,2]
110101001010 => [2,1,1,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,1,1,2]
110101001100 => [2,1,1,1,1,2,2,2] => [2,2,2,1,1,1,1,2]
110101010010 => [2,1,1,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,1,1,2]
110101010100 => [2,1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1,2]
110101011000 => [2,1,1,1,1,1,2,3] => [3,2,1,1,1,1,1,2]
110101100010 => [2,1,1,1,2,3,1,1] => [1,1,3,2,1,1,1,2]
110101100100 => [2,1,1,1,2,2,1,2] => [2,1,2,2,1,1,1,2]
110101101000 => [2,1,1,1,2,1,1,3] => [3,1,1,2,1,1,1,2]
110101110000 => [2,1,1,1,3,4] => [4,3,1,1,1,2]
110110001010 => [2,1,2,3,1,1,1,1] => [1,1,1,1,3,2,1,2]
110110001100 => [2,1,2,3,2,2] => [2,2,3,2,1,2]
110110010010 => [2,1,2,2,1,2,1,1] => [1,1,2,1,2,2,1,2]
110110010100 => [2,1,2,2,1,1,1,2] => [2,1,1,1,2,2,1,2]
110110011000 => [2,1,2,2,2,3] => [3,2,2,2,1,2]
110110100010 => [2,1,2,1,1,3,1,1] => [1,1,3,1,1,2,1,2]
110110100100 => [2,1,2,1,1,2,1,2] => [2,1,2,1,1,2,1,2]
110110101000 => [2,1,2,1,1,1,1,3] => [3,1,1,1,1,2,1,2]
110110110000 => [2,1,2,1,2,4] => [4,2,1,2,1,2]
110111000010 => [2,1,3,4,1,1] => [1,1,4,3,1,2]
110111000100 => [2,1,3,3,1,2] => [2,1,3,3,1,2]
110111001000 => [2,1,3,2,1,3] => [3,1,2,3,1,2]
110111010000 => [2,1,3,1,1,4] => [4,1,1,3,1,2]
110111100000 => [2,1,4,5] => [5,4,1,2]
111000101010 => [3,3,1,1,1,1,1,1] => [1,1,1,1,1,1,3,3]
111000101100 => [3,3,1,1,2,2] => [2,2,1,1,3,3]
111000110010 => [3,3,2,2,1,1] => [1,1,2,2,3,3]
111000110100 => [3,3,2,1,1,2] => [2,1,1,2,3,3]
111000111000 => [3,3,3,3] => [3,3,3,3]
111001001010 => [3,2,1,2,1,1,1,1] => [1,1,1,1,2,1,2,3]
111001001100 => [3,2,1,2,2,2] => [2,2,2,1,2,3]
111001010010 => [3,2,1,1,1,2,1,1] => [1,1,2,1,1,1,2,3]
111001010100 => [3,2,1,1,1,1,1,2] => [2,1,1,1,1,1,2,3]
111001011000 => [3,2,1,1,2,3] => [3,2,1,1,2,3]
111001100010 => [3,2,2,3,1,1] => [1,1,3,2,2,3]
111001100100 => [3,2,2,2,1,2] => [2,1,2,2,2,3]
111001101000 => [3,2,2,1,1,3] => [3,1,1,2,2,3]
111001110000 => [3,2,3,4] => [4,3,2,3]
111010001010 => [3,1,1,3,1,1,1,1] => [1,1,1,1,3,1,1,3]
111010001100 => [3,1,1,3,2,2] => [2,2,3,1,1,3]
111010010010 => [3,1,1,2,1,2,1,1] => [1,1,2,1,2,1,1,3]
111010010100 => [3,1,1,2,1,1,1,2] => [2,1,1,1,2,1,1,3]
111010011000 => [3,1,1,2,2,3] => [3,2,2,1,1,3]
111010100010 => [3,1,1,1,1,3,1,1] => [1,1,3,1,1,1,1,3]
111010100100 => [3,1,1,1,1,2,1,2] => [2,1,2,1,1,1,1,3]
111010101000 => [3,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,3]
111010110000 => [3,1,1,1,2,4] => [4,2,1,1,1,3]
111011000010 => [3,1,2,4,1,1] => [1,1,4,2,1,3]
111011000100 => [3,1,2,3,1,2] => [2,1,3,2,1,3]
111011001000 => [3,1,2,2,1,3] => [3,1,2,2,1,3]
111011010000 => [3,1,2,1,1,4] => [4,1,1,2,1,3]
111011100000 => [3,1,3,5] => [5,3,1,3]
111100001010 => [4,4,1,1,1,1] => [1,1,1,1,4,4]
111100001100 => [4,4,2,2] => [2,2,4,4]
111100010010 => [4,3,1,2,1,1] => [1,1,2,1,3,4]
111100010100 => [4,3,1,1,1,2] => [2,1,1,1,3,4]
111100011000 => [4,3,2,3] => [3,2,3,4]
111100100010 => [4,2,1,3,1,1] => [1,1,3,1,2,4]
111100100100 => [4,2,1,2,1,2] => [2,1,2,1,2,4]
111100101000 => [4,2,1,1,1,3] => [3,1,1,1,2,4]
111100110000 => [4,2,2,4] => [4,2,2,4]
111101000010 => [4,1,1,4,1,1] => [1,1,4,1,1,4]
111101000100 => [4,1,1,3,1,2] => [2,1,3,1,1,4]
111101001000 => [4,1,1,2,1,3] => [3,1,2,1,1,4]
111101010000 => [4,1,1,1,1,4] => [4,1,1,1,1,4]
111101100000 => [4,1,2,5] => [5,2,1,4]
111110000010 => [5,5,1,1] => [1,1,5,5]
111110000100 => [5,4,1,2] => [2,1,4,5]
111110001000 => [5,3,1,3] => [3,1,3,5]
111110010000 => [5,2,1,4] => [4,1,2,5]
111110100000 => [5,1,1,5] => [5,1,1,5]
111111000000 => [6,6] => [6,6]
10101011001100 => [1,1,1,1,1,1,2,2,2,2] => [2,2,2,2,1,1,1,1,1,1]
10101100101100 => [1,1,1,1,2,2,1,1,2,2] => [2,2,1,1,2,2,1,1,1,1]
10101101001100 => [1,1,1,1,2,1,1,2,2,2] => [2,2,2,1,1,2,1,1,1,1]
10101101100100 => [1,1,1,1,2,1,2,2,1,2] => [2,1,2,2,1,2,1,1,1,1]
10110011001100 => [1,1,2,2,2,2,2,2] => [2,2,2,2,2,2,1,1]
10110100101100 => [1,1,2,1,1,2,1,1,2,2] => [2,2,1,1,2,1,1,2,1,1]
10110101001100 => [1,1,2,1,1,1,1,2,2,2] => [2,2,2,1,1,1,1,2,1,1]
11001011001100 => [2,2,1,1,2,2,2,2] => [2,2,2,2,1,1,2,2]
11001100101100 => [2,2,2,2,1,1,2,2] => [2,2,1,1,2,2,2,2]
11001101001100 => [2,2,2,1,1,2,2,2] => [2,2,2,1,1,2,2,2]
1010101010101010 => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
1111111111 => [10] => [10]
1111111110 => [9,1] => [1,9]
1111111101 => [8,1,1] => [1,1,8]
1111111100 => [8,2] => [2,8]
1111111011 => [7,1,2] => [2,1,7]
1111111010 => [7,1,1,1] => [1,1,1,7]
1111111001 => [7,2,1] => [1,2,7]
1111110110 => [6,1,2,1] => [1,2,1,6]
1111110101 => [6,1,1,1,1] => [1,1,1,1,6]
1111110011 => [6,2,2] => [2,2,6]
1111110010 => [6,2,1,1] => [1,1,2,6]
1111110001 => [6,3,1] => [1,3,6]
1111110000 => [6,4] => [4,6]
1111101010 => [5,1,1,1,1,1] => [1,1,1,1,1,5]
1111101001 => [5,1,1,2,1] => [1,2,1,1,5]
1111101000 => [5,1,1,3] => [3,1,1,5]
1111100100 => [5,2,1,2] => [2,1,2,5]
1111100011 => [5,3,2] => [2,3,5]
1111100010 => [5,3,1,1] => [1,1,3,5]
1111100001 => [5,4,1] => [1,4,5]
1111011110 => [4,1,4,1] => [1,4,1,4]
1111011101 => [4,1,3,1,1] => [1,1,3,1,4]
1111011011 => [4,1,2,1,2] => [2,1,2,1,4]
1111011000 => [4,1,2,3] => [3,2,1,4]
1111010111 => [4,1,1,1,3] => [3,1,1,1,4]
1111010101 => [4,1,1,1,1,1,1] => [1,1,1,1,1,1,4]
1111010100 => [4,1,1,1,1,2] => [2,1,1,1,1,4]
1111010011 => [4,1,1,2,2] => [2,2,1,1,4]
1111010010 => [4,1,1,2,1,1] => [1,1,2,1,1,4]
1111010001 => [4,1,1,3,1] => [1,3,1,1,4]
1111001111 => [4,2,4] => [4,2,4]
1111001100 => [4,2,2,2] => [2,2,2,4]
1111001011 => [4,2,1,1,2] => [2,1,1,2,4]
1111001010 => [4,2,1,1,1,1] => [1,1,1,1,2,4]
1111001001 => [4,2,1,2,1] => [1,2,1,2,4]
1111000111 => [4,3,3] => [3,3,4]
1111000110 => [4,3,2,1] => [1,2,3,4]
1111000101 => [4,3,1,1,1] => [1,1,1,3,4]
1111000011 => [4,4,2] => [2,4,4]
1111000001 => [4,5,1] => [1,5,4]
1111000000 => [4,6] => [6,4]
1110111111 => [3,1,6] => [6,1,3]
1110111110 => [3,1,5,1] => [1,5,1,3]
1110111101 => [3,1,4,1,1] => [1,1,4,1,3]
1110111011 => [3,1,3,1,2] => [2,1,3,1,3]
1110111000 => [3,1,3,3] => [3,3,1,3]
1110110101 => [3,1,2,1,1,1,1] => [1,1,1,1,2,1,3]
1110110100 => [3,1,2,1,1,2] => [2,1,1,2,1,3]
1110110010 => [3,1,2,2,1,1] => [1,1,2,2,1,3]
1110110001 => [3,1,2,3,1] => [1,3,2,1,3]
1110101111 => [3,1,1,1,4] => [4,1,1,1,3]
1110101101 => [3,1,1,1,2,1,1] => [1,1,2,1,1,1,3]
1110101100 => [3,1,1,1,2,2] => [2,2,1,1,1,3]
1110101011 => [3,1,1,1,1,1,2] => [2,1,1,1,1,1,3]
1110101010 => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,3]
1110101001 => [3,1,1,1,1,2,1] => [1,2,1,1,1,1,3]
1110100101 => [3,1,1,2,1,1,1] => [1,1,1,2,1,1,3]
1110100011 => [3,1,1,3,2] => [2,3,1,1,3]
1110100001 => [3,1,1,4,1] => [1,4,1,1,3]
1110011111 => [3,2,5] => [5,2,3]
1110011110 => [3,2,4,1] => [1,4,2,3]
1110011001 => [3,2,2,2,1] => [1,2,2,2,3]
1110010101 => [3,2,1,1,1,1,1] => [1,1,1,1,1,2,3]
1110010011 => [3,2,1,2,2] => [2,2,1,2,3]
1110010001 => [3,2,1,3,1] => [1,3,1,2,3]
1110001101 => [3,3,2,1,1] => [1,1,2,3,3]
1110001001 => [3,3,1,2,1] => [1,2,1,3,3]
1110000111 => [3,4,3] => [3,4,3]
1110000101 => [3,4,1,1,1] => [1,1,1,4,3]
1110000011 => [3,5,2] => [2,5,3]
1110000010 => [3,5,1,1] => [1,1,5,3]
1110000001 => [3,6,1] => [1,6,3]
1101111111 => [2,1,7] => [7,1,2]
1101111110 => [2,1,6,1] => [1,6,1,2]
1101111101 => [2,1,5,1,1] => [1,1,5,1,2]
1101111011 => [2,1,4,1,2] => [2,1,4,1,2]
1101111001 => [2,1,4,2,1] => [1,2,4,1,2]
1101111000 => [2,1,4,3] => [3,4,1,2]
1101110111 => [2,1,3,1,3] => [3,1,3,1,2]
1101110010 => [2,1,3,2,1,1] => [1,1,2,3,1,2]
1101110001 => [2,1,3,3,1] => [1,3,3,1,2]
1101101111 => [2,1,2,1,4] => [4,1,2,1,2]
1101101100 => [2,1,2,1,2,2] => [2,2,1,2,1,2]
1101101001 => [2,1,2,1,1,2,1] => [1,2,1,1,2,1,2]
1101100110 => [2,1,2,2,2,1] => [1,2,2,2,1,2]
1101100101 => [2,1,2,2,1,1,1] => [1,1,1,2,2,1,2]
1101100011 => [2,1,2,3,2] => [2,3,2,1,2]
1101100001 => [2,1,2,4,1] => [1,4,2,1,2]
1101100000 => [2,1,2,5] => [5,2,1,2]
1101011111 => [2,1,1,1,5] => [5,1,1,1,2]
1101011010 => [2,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,2]
1101011001 => [2,1,1,1,2,2,1] => [1,2,2,1,1,1,2]
1101010111 => [2,1,1,1,1,1,3] => [3,1,1,1,1,1,2]
1101010101 => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,2]
1101010011 => [2,1,1,1,1,2,2] => [2,2,1,1,1,1,2]
1101010001 => [2,1,1,1,1,3,1] => [1,3,1,1,1,1,2]
1101001111 => [2,1,1,2,4] => [4,2,1,1,2]
1101001110 => [2,1,1,2,3,1] => [1,3,2,1,1,2]
1101001101 => [2,1,1,2,2,1,1] => [1,1,2,2,1,1,2]
1101001011 => [2,1,1,2,1,1,2] => [2,1,1,2,1,1,2]
1101001001 => [2,1,1,2,1,2,1] => [1,2,1,2,1,1,2]
1101001000 => [2,1,1,2,1,3] => [3,1,2,1,1,2]
1101000111 => [2,1,1,3,3] => [3,3,1,1,2]
1101000101 => [2,1,1,3,1,1,1] => [1,1,1,3,1,1,2]
1101000011 => [2,1,1,4,2] => [2,4,1,1,2]
1101000010 => [2,1,1,4,1,1] => [1,1,4,1,1,2]
1101000001 => [2,1,1,5,1] => [1,5,1,1,2]
1100111111 => [2,2,6] => [6,2,2]
1100111100 => [2,2,4,2] => [2,4,2,2]
1100111001 => [2,2,3,2,1] => [1,2,3,2,2]
1100110110 => [2,2,2,1,2,1] => [1,2,1,2,2,2]
1100110101 => [2,2,2,1,1,1,1] => [1,1,1,1,2,2,2]
1100110011 => [2,2,2,2,2] => [2,2,2,2,2]
1100110001 => [2,2,2,3,1] => [1,3,2,2,2]
1100110000 => [2,2,2,4] => [4,2,2,2]
1100101110 => [2,2,1,1,3,1] => [1,3,1,1,2,2]
1100101101 => [2,2,1,1,2,1,1] => [1,1,2,1,1,2,2]
1100101011 => [2,2,1,1,1,1,2] => [2,1,1,1,1,2,2]
1100101001 => [2,2,1,1,1,2,1] => [1,2,1,1,1,2,2]
1100100111 => [2,2,1,2,3] => [3,2,1,2,2]
1100100110 => [2,2,1,2,2,1] => [1,2,2,1,2,2]
1100100101 => [2,2,1,2,1,1,1] => [1,1,1,2,1,2,2]
1100100011 => [2,2,1,3,2] => [2,3,1,2,2]
1100011110 => [2,3,4,1] => [1,4,3,2]
1100011101 => [2,3,3,1,1] => [1,1,3,3,2]
1100011100 => [2,3,3,2] => [2,3,3,2]
1100011011 => [2,3,2,1,2] => [2,1,2,3,2]
1100011001 => [2,3,2,2,1] => [1,2,2,3,2]
1100011000 => [2,3,2,3] => [3,2,3,2]
1100010111 => [2,3,1,1,3] => [3,1,1,3,2]
1100010101 => [2,3,1,1,1,1,1] => [1,1,1,1,1,3,2]
1100010011 => [2,3,1,2,2] => [2,2,1,3,2]
1100010010 => [2,3,1,2,1,1] => [1,1,2,1,3,2]
1100001111 => [2,4,4] => [4,4,2]
1100001101 => [2,4,2,1,1] => [1,1,2,4,2]
1100001100 => [2,4,2,2] => [2,2,4,2]
1100001011 => [2,4,1,1,2] => [2,1,1,4,2]
1100001010 => [2,4,1,1,1,1] => [1,1,1,1,4,2]
1100001000 => [2,4,1,3] => [3,1,4,2]
1100000111 => [2,5,3] => [3,5,2]
1100000110 => [2,5,2,1] => [1,2,5,2]
1100000011 => [2,6,2] => [2,6,2]
1100000010 => [2,6,1,1] => [1,1,6,2]
1100000001 => [2,7,1] => [1,7,2]
1100000000 => [2,8] => [8,2]
1011111111 => [1,1,8] => [8,1,1]
1011111110 => [1,1,7,1] => [1,7,1,1]
1011111101 => [1,1,6,1,1] => [1,1,6,1,1]
1011111100 => [1,1,6,2] => [2,6,1,1]
1011111011 => [1,1,5,1,2] => [2,1,5,1,1]
1011111010 => [1,1,5,1,1,1] => [1,1,1,5,1,1]
1011111000 => [1,1,5,3] => [3,5,1,1]
1011110111 => [1,1,4,1,3] => [3,1,4,1,1]
1011110100 => [1,1,4,1,1,2] => [2,1,1,4,1,1]
1011110001 => [1,1,4,3,1] => [1,3,4,1,1]
1011100011 => [1,1,3,3,2] => [2,3,3,1,1]
1011100001 => [1,1,3,4,1] => [1,4,3,1,1]
1011100000 => [1,1,3,5] => [5,3,1,1]
1011011001 => [1,1,2,1,2,2,1] => [1,2,2,1,2,1,1]
1011010111 => [1,1,2,1,1,1,3] => [3,1,1,1,2,1,1]
1011010101 => [1,1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1,1]
1011010011 => [1,1,2,1,1,2,2] => [2,2,1,1,2,1,1]
1011010001 => [1,1,2,1,1,3,1] => [1,3,1,1,2,1,1]
1011010000 => [1,1,2,1,1,4] => [4,1,1,2,1,1]
1011001101 => [1,1,2,2,2,1,1] => [1,1,2,2,2,1,1]
1011001011 => [1,1,2,2,1,1,2] => [2,1,1,2,2,1,1]
1011001001 => [1,1,2,2,1,2,1] => [1,2,1,2,2,1,1]
1011001000 => [1,1,2,2,1,3] => [3,1,2,2,1,1]
1011000111 => [1,1,2,3,3] => [3,3,2,1,1]
1011000101 => [1,1,2,3,1,1,1] => [1,1,1,3,2,1,1]
1011000100 => [1,1,2,3,1,2] => [2,1,3,2,1,1]
1011000011 => [1,1,2,4,2] => [2,4,2,1,1]
1011000010 => [1,1,2,4,1,1] => [1,1,4,2,1,1]
1011000000 => [1,1,2,6] => [6,2,1,1]
1010111111 => [1,1,1,1,6] => [6,1,1,1,1]
1010111110 => [1,1,1,1,5,1] => [1,5,1,1,1,1]
1010110111 => [1,1,1,1,2,1,3] => [3,1,2,1,1,1,1]
1010110101 => [1,1,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,1,1]
1010110011 => [1,1,1,1,2,2,2] => [2,2,2,1,1,1,1]
1010110001 => [1,1,1,1,2,3,1] => [1,3,2,1,1,1,1]
1010110000 => [1,1,1,1,2,4] => [4,2,1,1,1,1]
1010101111 => [1,1,1,1,1,1,4] => [4,1,1,1,1,1,1]
1010101101 => [1,1,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,1,1]
1010101011 => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1]
1010101001 => [1,1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1,1]
1010101000 => [1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1]
1010100111 => [1,1,1,1,1,2,3] => [3,2,1,1,1,1,1]
1010100110 => [1,1,1,1,1,2,2,1] => [1,2,2,1,1,1,1,1]
1010100101 => [1,1,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,1,1]
1010100100 => [1,1,1,1,1,2,1,2] => [2,1,2,1,1,1,1,1]
1010100011 => [1,1,1,1,1,3,2] => [2,3,1,1,1,1,1]
1010100010 => [1,1,1,1,1,3,1,1] => [1,1,3,1,1,1,1,1]
1010100000 => [1,1,1,1,1,5] => [5,1,1,1,1,1]
1010011101 => [1,1,1,2,3,1,1] => [1,1,3,2,1,1,1]
1010011011 => [1,1,1,2,2,1,2] => [2,1,2,2,1,1,1]
1010011010 => [1,1,1,2,2,1,1,1] => [1,1,1,2,2,1,1,1]
1010011001 => [1,1,1,2,2,2,1] => [1,2,2,2,1,1,1]
1010011000 => [1,1,1,2,2,3] => [3,2,2,1,1,1]
1010010111 => [1,1,1,2,1,1,3] => [3,1,1,2,1,1,1]
1010010110 => [1,1,1,2,1,1,2,1] => [1,2,1,1,2,1,1,1]
1010010101 => [1,1,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,1,1]
1010010100 => [1,1,1,2,1,1,1,2] => [2,1,1,1,2,1,1,1]
1010010011 => [1,1,1,2,1,2,2] => [2,2,1,2,1,1,1]
1010010010 => [1,1,1,2,1,2,1,1] => [1,1,2,1,2,1,1,1]
1010010001 => [1,1,1,2,1,3,1] => [1,3,1,2,1,1,1]
1010001111 => [1,1,1,3,4] => [4,3,1,1,1]
1010001110 => [1,1,1,3,3,1] => [1,3,3,1,1,1]
1010001101 => [1,1,1,3,2,1,1] => [1,1,2,3,1,1,1]
1010001100 => [1,1,1,3,2,2] => [2,2,3,1,1,1]
1010001011 => [1,1,1,3,1,1,2] => [2,1,1,3,1,1,1]
1010001010 => [1,1,1,3,1,1,1,1] => [1,1,1,1,3,1,1,1]
1010000111 => [1,1,1,4,3] => [3,4,1,1,1]
1010000010 => [1,1,1,5,1,1] => [1,1,5,1,1,1]
1010000001 => [1,1,1,6,1] => [1,6,1,1,1]
1010000000 => [1,1,1,7] => [7,1,1,1]
1001111110 => [1,2,6,1] => [1,6,2,1]
1001111000 => [1,2,4,3] => [3,4,2,1]
1001110101 => [1,2,3,1,1,1,1] => [1,1,1,1,3,2,1]
1001110100 => [1,2,3,1,1,2] => [2,1,1,3,2,1]
1001110011 => [1,2,3,2,2] => [2,2,3,2,1]
1001110001 => [1,2,3,3,1] => [1,3,3,2,1]
1001110000 => [1,2,3,4] => [4,3,2,1]
1001101101 => [1,2,2,1,2,1,1] => [1,1,2,1,2,2,1]
1001101100 => [1,2,2,1,2,2] => [2,2,1,2,2,1]
1001101011 => [1,2,2,1,1,1,2] => [2,1,1,1,2,2,1]
1001101010 => [1,2,2,1,1,1,1,1] => [1,1,1,1,1,2,2,1]
1001101001 => [1,2,2,1,1,2,1] => [1,2,1,1,2,2,1]
1001101000 => [1,2,2,1,1,3] => [3,1,1,2,2,1]
1001100111 => [1,2,2,2,3] => [3,2,2,2,1]
1001100110 => [1,2,2,2,2,1] => [1,2,2,2,2,1]
1001100101 => [1,2,2,2,1,1,1] => [1,1,1,2,2,2,1]
1001100100 => [1,2,2,2,1,2] => [2,1,2,2,2,1]
1001100011 => [1,2,2,3,2] => [2,3,2,2,1]
1001100010 => [1,2,2,3,1,1] => [1,1,3,2,2,1]
1001011111 => [1,2,1,1,5] => [5,1,1,2,1]
1001011110 => [1,2,1,1,4,1] => [1,4,1,1,2,1]
1001011101 => [1,2,1,1,3,1,1] => [1,1,3,1,1,2,1]
1001011011 => [1,2,1,1,2,1,2] => [2,1,2,1,1,2,1]
1001011010 => [1,2,1,1,2,1,1,1] => [1,1,1,2,1,1,2,1]
1001011001 => [1,2,1,1,2,2,1] => [1,2,2,1,1,2,1]
1001011000 => [1,2,1,1,2,3] => [3,2,1,1,2,1]
1001010111 => [1,2,1,1,1,1,3] => [3,1,1,1,1,2,1]
1001010110 => [1,2,1,1,1,1,2,1] => [1,2,1,1,1,1,2,1]
1001010101 => [1,2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,2,1]
1001010100 => [1,2,1,1,1,1,1,2] => [2,1,1,1,1,1,2,1]
1001010011 => [1,2,1,1,1,2,2] => [2,2,1,1,1,2,1]
1001010010 => [1,2,1,1,1,2,1,1] => [1,1,2,1,1,1,2,1]
1001001111 => [1,2,1,2,4] => [4,2,1,2,1]
1001001110 => [1,2,1,2,3,1] => [1,3,2,1,2,1]
1001001101 => [1,2,1,2,2,1,1] => [1,1,2,2,1,2,1]
1001001100 => [1,2,1,2,2,2] => [2,2,2,1,2,1]
1001001011 => [1,2,1,2,1,1,2] => [2,1,1,2,1,2,1]
1001001010 => [1,2,1,2,1,1,1,1] => [1,1,1,1,2,1,2,1]
1001000111 => [1,2,1,3,3] => [3,3,1,2,1]
1001000000 => [1,2,1,6] => [6,1,2,1]
1000111110 => [1,3,5,1] => [1,5,3,1]
1000111101 => [1,3,4,1,1] => [1,1,4,3,1]
1000111100 => [1,3,4,2] => [2,4,3,1]
1000111011 => [1,3,3,1,2] => [2,1,3,3,1]
1000111010 => [1,3,3,1,1,1] => [1,1,1,3,3,1]
1000111001 => [1,3,3,2,1] => [1,2,3,3,1]
1000111000 => [1,3,3,3] => [3,3,3,1]
1000110111 => [1,3,2,1,3] => [3,1,2,3,1]
1000110110 => [1,3,2,1,2,1] => [1,2,1,2,3,1]
1000110101 => [1,3,2,1,1,1,1] => [1,1,1,1,2,3,1]
1000110100 => [1,3,2,1,1,2] => [2,1,1,2,3,1]
1000110011 => [1,3,2,2,2] => [2,2,2,3,1]
1000110010 => [1,3,2,2,1,1] => [1,1,2,2,3,1]
1000110001 => [1,3,2,3,1] => [1,3,2,3,1]
1000101111 => [1,3,1,1,4] => [4,1,1,3,1]
1000101110 => [1,3,1,1,3,1] => [1,3,1,1,3,1]
1000101101 => [1,3,1,1,2,1,1] => [1,1,2,1,1,3,1]
1000101100 => [1,3,1,1,2,2] => [2,2,1,1,3,1]
1000101011 => [1,3,1,1,1,1,2] => [2,1,1,1,1,3,1]
1000101010 => [1,3,1,1,1,1,1,1] => [1,1,1,1,1,1,3,1]
1000100111 => [1,3,1,2,3] => [3,2,1,3,1]
1000011111 => [1,4,5] => [5,4,1]
1000011110 => [1,4,4,1] => [1,4,4,1]
1000011101 => [1,4,3,1,1] => [1,1,3,4,1]
1000011011 => [1,4,2,1,2] => [2,1,2,4,1]
1000010111 => [1,4,1,1,3] => [3,1,1,4,1]
1000010110 => [1,4,1,1,2,1] => [1,2,1,1,4,1]
1000010101 => [1,4,1,1,1,1,1] => [1,1,1,1,1,4,1]
1000001111 => [1,5,4] => [4,5,1]
1000001110 => [1,5,3,1] => [1,3,5,1]
1000001101 => [1,5,2,1,1] => [1,1,2,5,1]
1000001011 => [1,5,1,1,2] => [2,1,1,5,1]
1000001010 => [1,5,1,1,1,1] => [1,1,1,1,5,1]
1000001001 => [1,5,1,2,1] => [1,2,1,5,1]
1000000110 => [1,6,2,1] => [1,2,6,1]
1000000101 => [1,6,1,1,1] => [1,1,1,6,1]
1000000100 => [1,6,1,2] => [2,1,6,1]
1000000011 => [1,7,2] => [2,7,1]
1000000010 => [1,7,1,1] => [1,1,7,1]
1000000001 => [1,8,1] => [1,8,1]
1000000000 => [1,9] => [9,1]
10000000000 => [1,10] => [10,1]
10000000010 => [1,8,1,1] => [1,1,8,1]
10000000110 => [1,7,2,1] => [1,2,7,1]
10000001110 => [1,6,3,1] => [1,3,6,1]
10000011110 => [1,5,4,1] => [1,4,5,1]
10000111110 => [1,4,5,1] => [1,5,4,1]
10001111110 => [1,3,6,1] => [1,6,3,1]
10011111110 => [1,2,7,1] => [1,7,2,1]
10111111110 => [1,1,8,1] => [1,8,1,1]
11111111110 => [10,1] => [1,10]
10000000100 => [1,7,1,2] => [2,1,7,1]
10000001010 => [1,6,1,1,1,1] => [1,1,1,1,6,1]
10000010110 => [1,5,1,1,2,1] => [1,2,1,1,5,1]
10000101110 => [1,4,1,1,3,1] => [1,3,1,1,4,1]
100000111110 => [1,5,5,1] => [1,5,5,1]
10001011110 => [1,3,1,1,4,1] => [1,4,1,1,3,1]
10010111110 => [1,2,1,1,5,1] => [1,5,1,1,2,1]
10101111110 => [1,1,1,1,6,1] => [1,6,1,1,1,1]
11011111110 => [2,1,7,1] => [1,7,1,2]
10000010000 => [1,5,1,4] => [4,1,5,1]
10000100010 => [1,4,1,3,1,1] => [1,1,3,1,4,1]
10001000010 => [1,3,1,4,1,1] => [1,1,4,1,3,1]
10000100100 => [1,4,1,2,1,2] => [2,1,2,1,4,1]
10001001010 => [1,3,1,2,1,1,1,1] => [1,1,1,1,2,1,3,1]
10001000100 => [1,3,1,3,1,2] => [2,1,3,1,3,1]
10000101000 => [1,4,1,1,1,3] => [3,1,1,1,4,1]
10010001010 => [1,2,1,3,1,1,1,1] => [1,1,1,1,3,1,2,1]
10001010010 => [1,3,1,1,1,2,1,1] => [1,1,2,1,1,1,3,1]
100011001110 => [1,3,2,2,3,1] => [1,3,2,2,3,1]
10010000100 => [1,2,1,4,1,2] => [2,1,4,1,2,1]
10001001000 => [1,3,1,2,1,3] => [3,1,2,1,3,1]
10010010010 => [1,2,1,2,1,2,1,1] => [1,1,2,1,2,1,2,1]
10001010100 => [1,3,1,1,1,1,1,2] => [2,1,1,1,1,1,3,1]
110000011110 => [2,5,4,1] => [1,4,5,2]
10010101010 => [1,2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,2,1]
100100110110 => [1,2,1,2,2,1,2,1] => [1,2,1,2,2,1,2,1]
100001111100 => [1,4,5,2] => [2,5,4,1]
10010001000 => [1,2,1,3,1,3] => [3,1,3,1,2,1]
10100010010 => [1,1,1,3,1,2,1,1] => [1,1,2,1,3,1,1,1]
10010100010 => [1,2,1,1,1,3,1,1] => [1,1,3,1,1,1,2,1]
10010010100 => [1,2,1,2,1,1,1,2] => [2,1,1,1,2,1,2,1]
10100101010 => [1,1,1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1,1,1]
100110001110 => [1,2,2,3,3,1] => [1,3,3,2,2,1]
100101010110 => [1,2,1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1,2,1]
100011100110 => [1,3,3,2,2,1] => [1,2,2,3,3,1]
=> [] => []
0111111111 => [1,9] => [9,1]
0111111101 => [1,7,1,1] => [1,1,7,1]
0111111001 => [1,6,2,1] => [1,2,6,1]
0111110001 => [1,5,3,1] => [1,3,5,1]
0111100001 => [1,4,4,1] => [1,4,4,1]
0100000001 => [1,1,7,1] => [1,7,1,1]
0000000001 => [9,1] => [1,9]
01111111111 => [1,10] => [10,1]
01111111101 => [1,8,1,1] => [1,1,8,1]
0111111011 => [1,6,1,2] => [2,1,6,1]
0111110101 => [1,5,1,1,1,1] => [1,1,1,1,5,1]
0111101001 => [1,4,1,1,2,1] => [1,2,1,1,4,1]
0111010001 => [1,3,1,1,3,1] => [1,3,1,1,3,1]
0110100001 => [1,2,1,1,4,1] => [1,4,1,1,2,1]
0101000001 => [1,1,1,1,5,1] => [1,5,1,1,1,1]
01000000001 => [1,1,8,1] => [1,8,1,1]
00000000001 => [10,1] => [1,10]
0101010101 => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1]
0101001011 => [1,1,1,1,2,1,1,2] => [2,1,1,2,1,1,1,1]
0101000111 => [1,1,1,1,3,3] => [3,3,1,1,1,1]
0100110011 => [1,1,2,2,2,2] => [2,2,2,2,1,1]
0100100111 => [1,1,2,1,2,3] => [3,2,1,2,1,1]
0100011011 => [1,1,3,2,1,2] => [2,1,2,3,1,1]
0100010111 => [1,1,3,1,1,3] => [3,1,1,3,1,1]
0100001111 => [1,1,4,4] => [4,4,1,1]
0011010011 => [2,2,1,1,2,2] => [2,2,1,1,2,2]
0011000111 => [2,2,3,3] => [3,3,2,2]
0010101011 => [2,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,2]
0010010111 => [2,1,2,1,1,3] => [3,1,1,2,1,2]
0010001111 => [2,1,3,4] => [4,3,1,2]
0001110011 => [3,3,2,2] => [2,2,3,3]
0001101011 => [3,2,1,1,1,2] => [2,1,1,1,2,3]
0001100111 => [3,2,2,3] => [3,2,2,3]
0001011101 => [3,1,1,3,1,1] => [1,1,3,1,1,3]
0001010111 => [3,1,1,1,1,3] => [3,1,1,1,1,3]
0001001111 => [3,1,2,4] => [4,2,1,3]
0000111101 => [4,4,1,1] => [1,1,4,4]
0000110111 => [4,2,1,3] => [3,1,2,4]
0000101111 => [4,1,1,4] => [4,1,1,4]
0000011111 => [5,5] => [5,5]
010101010101 => [1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1]
010101001011 => [1,1,1,1,1,1,2,1,1,2] => [2,1,1,2,1,1,1,1,1,1]
010100101011 => [1,1,1,1,2,1,1,1,1,2] => [2,1,1,1,1,2,1,1,1,1]
010100100111 => [1,1,1,1,2,1,2,3] => [3,2,1,2,1,1,1,1]
010100011011 => [1,1,1,1,3,2,1,2] => [2,1,2,3,1,1,1,1]
010100010111 => [1,1,1,1,3,1,1,3] => [3,1,1,3,1,1,1,1]
010100001111 => [1,1,1,1,4,4] => [4,4,1,1,1,1]
010011010101 => [1,1,2,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,2,1,1]
010011010011 => [1,1,2,2,1,1,2,2] => [2,2,1,1,2,2,1,1]
010011001011 => [1,1,2,2,2,1,1,2] => [2,1,1,2,2,2,1,1]
010011000111 => [1,1,2,2,3,3] => [3,3,2,2,1,1]
010010110101 => [1,1,2,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,2,1,1]
010010110011 => [1,1,2,1,1,2,2,2] => [2,2,2,1,1,2,1,1]
010010101011 => [1,1,2,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,2,1,1]
010010011011 => [1,1,2,1,2,2,1,2] => [2,1,2,2,1,2,1,1]
010010010111 => [1,1,2,1,2,1,1,3] => [3,1,1,2,1,2,1,1]
010010001111 => [1,1,2,1,3,4] => [4,3,1,2,1,1]
010001110101 => [1,1,3,3,1,1,1,1] => [1,1,1,1,3,3,1,1]
010001101011 => [1,1,3,2,1,1,1,2] => [2,1,1,1,2,3,1,1]
010001011101 => [1,1,3,1,1,3,1,1] => [1,1,3,1,1,3,1,1]
010001011011 => [1,1,3,1,1,2,1,2] => [2,1,2,1,1,3,1,1]
010001010111 => [1,1,3,1,1,1,1,3] => [3,1,1,1,1,3,1,1]
010000111011 => [1,1,4,3,1,2] => [2,1,3,4,1,1]
010000110111 => [1,1,4,2,1,3] => [3,1,2,4,1,1]
010000101111 => [1,1,4,1,1,4] => [4,1,1,4,1,1]
010000011111 => [1,1,5,5] => [5,5,1,1]
001101010101 => [2,2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,2,2]
001101001011 => [2,2,1,1,2,1,1,2] => [2,1,1,2,1,1,2,2]
001100110011 => [2,2,2,2,2,2] => [2,2,2,2,2,2]
001100100111 => [2,2,2,1,2,3] => [3,2,1,2,2,2]
001100011011 => [2,2,3,2,1,2] => [2,1,2,3,2,2]
001100010111 => [2,2,3,1,1,3] => [3,1,1,3,2,2]
001100001111 => [2,2,4,4] => [4,4,2,2]
001011010101 => [2,1,1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1,1,2]
001011001101 => [2,1,1,2,2,2,1,1] => [1,1,2,2,2,1,1,2]
001011000111 => [2,1,1,2,3,3] => [3,3,2,1,1,2]
001010101011 => [2,1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1,2]
001010010111 => [2,1,1,1,2,1,1,3] => [3,1,1,2,1,1,1,2]
001010001111 => [2,1,1,1,3,4] => [4,3,1,1,1,2]
001001110101 => [2,1,2,3,1,1,1,1] => [1,1,1,1,3,2,1,2]
001001011101 => [2,1,2,1,1,3,1,1] => [1,1,3,1,1,2,1,2]
001001010111 => [2,1,2,1,1,1,1,3] => [3,1,1,1,1,2,1,2]
001000110111 => [2,1,3,2,1,3] => [3,1,2,3,1,2]
001000101111 => [2,1,3,1,1,4] => [4,1,1,3,1,2]
001000011111 => [2,1,4,5] => [5,4,1,2]
000111010101 => [3,3,1,1,1,1,1,1] => [1,1,1,1,1,1,3,3]
000111010011 => [3,3,1,1,2,2] => [2,2,1,1,3,3]
000111001011 => [3,3,2,1,1,2] => [2,1,1,2,3,3]
000111000111 => [3,3,3,3] => [3,3,3,3]
000110110101 => [3,2,1,2,1,1,1,1] => [1,1,1,1,2,1,2,3]
000110110011 => [3,2,1,2,2,2] => [2,2,2,1,2,3]
000110101011 => [3,2,1,1,1,1,1,2] => [2,1,1,1,1,1,2,3]
000110011011 => [3,2,2,2,1,2] => [2,1,2,2,2,3]
000110010111 => [3,2,2,1,1,3] => [3,1,1,2,2,3]
000110001111 => [3,2,3,4] => [4,3,2,3]
000101110101 => [3,1,1,3,1,1,1,1] => [1,1,1,1,3,1,1,3]
000101101011 => [3,1,1,2,1,1,1,2] => [2,1,1,1,2,1,1,3]
000101011101 => [3,1,1,1,1,3,1,1] => [1,1,3,1,1,1,1,3]
000101011011 => [3,1,1,1,1,2,1,2] => [2,1,2,1,1,1,1,3]
000101010111 => [3,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,3]
000100111011 => [3,1,2,3,1,2] => [2,1,3,2,1,3]
000100110111 => [3,1,2,2,1,3] => [3,1,2,2,1,3]
000100101111 => [3,1,2,1,1,4] => [4,1,1,2,1,3]
000100011111 => [3,1,3,5] => [5,3,1,3]
000011110101 => [4,4,1,1,1,1] => [1,1,1,1,4,4]
000011110011 => [4,4,2,2] => [2,2,4,4]
000011011101 => [4,2,1,3,1,1] => [1,1,3,1,2,4]
000011011011 => [4,2,1,2,1,2] => [2,1,2,1,2,4]
000011010111 => [4,2,1,1,1,3] => [3,1,1,1,2,4]
000011001111 => [4,2,2,4] => [4,2,2,4]
000010110111 => [4,1,1,2,1,3] => [3,1,2,1,1,4]
000010101111 => [4,1,1,1,1,4] => [4,1,1,1,1,4]
000010011111 => [4,1,2,5] => [5,2,1,4]
000001111101 => [5,5,1,1] => [1,1,5,5]
000001111011 => [5,4,1,2] => [2,1,4,5]
000001110111 => [5,3,1,3] => [3,1,3,5]
000001101111 => [5,2,1,4] => [4,1,2,5]
000001011111 => [5,1,1,5] => [5,1,1,5]
000000111111 => [6,6] => [6,6]
111111111111 => [12] => [12]
111110000001 => [5,6,1] => [1,6,5]
111001100001 => [3,2,2,4,1] => [1,4,2,2,3]
111000011001 => [3,4,2,2,1] => [1,2,2,4,3]
111000000111 => [3,6,3] => [3,6,3]
111000001101 => [3,5,2,1,1] => [1,1,2,5,3]
111000110001 => [3,3,2,3,1] => [1,3,2,3,3]
111000100101 => [3,3,1,2,1,1,1] => [1,1,1,2,1,3,3]
111010010001 => [3,1,1,2,1,3,1] => [1,3,1,2,1,1,3]
111010000101 => [3,1,1,4,1,1,1] => [1,1,1,4,1,1,3]
100111100001 => [1,2,4,4,1] => [1,4,4,2,1]
100110011001 => [1,2,2,2,2,2,1] => [1,2,2,2,2,2,1]
100110000111 => [1,2,2,4,3] => [3,4,2,2,1]
100110001101 => [1,2,2,3,2,1,1] => [1,1,2,3,2,2,1]
100110100101 => [1,2,2,1,1,2,1,1,1] => [1,1,1,2,1,1,2,2,1]
100001111001 => [1,4,4,2,1] => [1,2,4,4,1]
100001100111 => [1,4,2,2,3] => [3,2,2,4,1]
100001101101 => [1,4,2,1,2,1,1] => [1,1,2,1,2,4,1]
100000011111 => [1,6,5] => [5,6,1]
100000110111 => [1,5,2,1,3] => [3,1,2,5,1]
100000111101 => [1,5,4,1,1] => [1,1,4,5,1]
100011011001 => [1,3,2,1,2,2,1] => [1,2,2,1,2,3,1]
100011000111 => [1,3,2,3,3] => [3,3,2,3,1]
100011001101 => [1,3,2,2,2,1,1] => [1,1,2,2,2,3,1]
100011110001 => [1,3,4,3,1] => [1,3,4,3,1]
100011100101 => [1,3,3,2,1,1,1] => [1,1,1,2,3,3,1]
100010010111 => [1,3,1,2,1,1,3] => [3,1,1,2,1,3,1]
100010011101 => [1,3,1,2,3,1,1] => [1,1,3,2,1,3,1]
101101101101 => [1,1,2,1,2,1,2,1,1] => [1,1,2,1,2,1,2,1,1]
101100000111 => [1,1,2,5,3] => [3,5,2,1,1]
101100001101 => [1,1,2,4,2,1,1] => [1,1,2,4,2,1,1]
101100100101 => [1,1,2,2,1,2,1,1,1] => [1,1,1,2,1,2,2,1,1]
101110000101 => [1,1,3,4,1,1,1] => [1,1,1,4,3,1,1]
101001011001 => [1,1,1,2,1,1,2,2,1] => [1,2,2,1,1,2,1,1,1]
101001001101 => [1,1,1,2,1,2,2,1,1] => [1,1,2,2,1,2,1,1,1]
101001110001 => [1,1,1,2,3,3,1] => [1,3,3,2,1,1,1]
101001100101 => [1,1,1,2,2,2,1,1,1] => [1,1,1,2,2,2,1,1,1]
101000010111 => [1,1,1,4,1,1,3] => [3,1,1,4,1,1,1]
101000011101 => [1,1,1,4,3,1,1] => [1,1,3,4,1,1,1]
101000110101 => [1,1,1,3,2,1,1,1,1] => [1,1,1,1,2,3,1,1,1]
101010010101 => [1,1,1,1,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,1,1,1,1]
0000000000 => [10] => [10]
0000000110 => [7,2,1] => [1,2,7]
0000011000 => [5,2,3] => [3,2,5]
0000011110 => [5,4,1] => [1,4,5]
0001111110 => [3,6,1] => [1,6,3]
0110011000 => [1,2,2,2,3] => [3,2,2,2,1]
0110010010 => [1,2,2,1,2,1,1] => [1,1,2,1,2,2,1]
0111100000 => [1,4,5] => [5,4,1]
0111111110 => [1,8,1] => [1,8,1]
0111001000 => [1,3,2,1,3] => [3,1,2,3,1]
0111000010 => [1,3,4,1,1] => [1,1,4,3,1]
0100111000 => [1,1,2,3,3] => [3,3,2,1,1]
0100111110 => [1,1,2,5,1] => [1,5,2,1,1]
0100110010 => [1,1,2,2,2,1,1] => [1,1,2,2,2,1,1]
0100000010 => [1,1,6,1,1] => [1,1,6,1,1]
0101101000 => [1,1,1,2,1,1,3] => [3,1,1,2,1,1,1]
0101100010 => [1,1,1,2,3,1,1] => [1,1,3,2,1,1,1]
0101001010 => [1,1,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,1,1]
000000000000 => [12] => [12]
000001111110 => [5,6,1] => [1,6,5]
000110011110 => [3,2,2,4,1] => [1,4,2,2,3]
000111100110 => [3,4,2,2,1] => [1,2,2,4,3]
000111111000 => [3,6,3] => [3,6,3]
000111110010 => [3,5,2,1,1] => [1,1,2,5,3]
000111001110 => [3,3,2,3,1] => [1,3,2,3,3]
000111011010 => [3,3,1,2,1,1,1] => [1,1,1,2,1,3,3]
000101101110 => [3,1,1,2,1,3,1] => [1,3,1,2,1,1,3]
000101111010 => [3,1,1,4,1,1,1] => [1,1,1,4,1,1,3]
011000011110 => [1,2,4,4,1] => [1,4,4,2,1]
011001100110 => [1,2,2,2,2,2,1] => [1,2,2,2,2,2,1]
011001111000 => [1,2,2,4,3] => [3,4,2,2,1]
011001110010 => [1,2,2,3,2,1,1] => [1,1,2,3,2,2,1]
011001011010 => [1,2,2,1,1,2,1,1,1] => [1,1,1,2,1,1,2,2,1]
011110000110 => [1,4,4,2,1] => [1,2,4,4,1]
011110011000 => [1,4,2,2,3] => [3,2,2,4,1]
011110010010 => [1,4,2,1,2,1,1] => [1,1,2,1,2,4,1]
011111100000 => [1,6,5] => [5,6,1]
011111001000 => [1,5,2,1,3] => [3,1,2,5,1]
011111000010 => [1,5,4,1,1] => [1,1,4,5,1]
011100100110 => [1,3,2,1,2,2,1] => [1,2,2,1,2,3,1]
011100111000 => [1,3,2,3,3] => [3,3,2,3,1]
011100110010 => [1,3,2,2,2,1,1] => [1,1,2,2,2,3,1]
011100011010 => [1,3,3,2,1,1,1] => [1,1,1,2,3,3,1]
011101101000 => [1,3,1,2,1,1,3] => [3,1,1,2,1,3,1]
011101100010 => [1,3,1,2,3,1,1] => [1,1,3,2,1,3,1]
010011111000 => [1,1,2,5,3] => [3,5,2,1,1]
010011110010 => [1,1,2,4,2,1,1] => [1,1,2,4,2,1,1]
010011011010 => [1,1,2,2,1,2,1,1,1] => [1,1,1,2,1,2,2,1,1]
010001111010 => [1,1,3,4,1,1,1] => [1,1,1,4,3,1,1]
010110100110 => [1,1,1,2,1,1,2,2,1] => [1,2,2,1,1,2,1,1,1]
010110110010 => [1,1,1,2,1,2,2,1,1] => [1,1,2,2,1,2,1,1,1]
010110001110 => [1,1,1,2,3,3,1] => [1,3,3,2,1,1,1]
010110011010 => [1,1,1,2,2,2,1,1,1] => [1,1,1,2,2,2,1,1,1]
010111101000 => [1,1,1,4,1,1,3] => [3,1,1,4,1,1,1]
010111100010 => [1,1,1,4,3,1,1] => [1,1,3,4,1,1,1]
010111001010 => [1,1,1,3,2,1,1,1,1] => [1,1,1,1,2,3,1,1,1]
010101101010 => [1,1,1,1,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,1,1,1,1]
0010101010 => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,2]
0010101100 => [2,1,1,1,1,2,2] => [2,2,1,1,1,1,2]
0010110100 => [2,1,1,2,1,1,2] => [2,1,1,2,1,1,2]
0011010100 => [2,2,1,1,1,1,2] => [2,1,1,1,1,2,2]
0101010100 => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1]
0010101110 => [2,1,1,1,1,3,1] => [1,3,1,1,1,1,2]
0010111100 => [2,1,1,4,2] => [2,4,1,1,2]
0011110100 => [2,4,1,1,2] => [2,1,1,4,2]
0000010100 => [5,1,1,1,2] => [2,1,1,1,5]
0111010100 => [1,3,1,1,1,1,2] => [2,1,1,1,1,3,1]
0000000010 => [8,1,1] => [1,1,8]
0000001110 => [6,3,1] => [1,3,6]
0000111110 => [4,5,1] => [1,5,4]
0011111110 => [2,7,1] => [1,7,2]
00000000000 => [11] => [11]
00000000010 => [9,1,1] => [1,1,9]
0000000100 => [7,1,2] => [2,1,7]
00000000110 => [8,2,1] => [1,2,8]
0000001010 => [6,1,1,1,1] => [1,1,1,1,6]
00000001110 => [7,3,1] => [1,3,7]
0000010110 => [5,1,1,2,1] => [1,2,1,1,5]
00000011110 => [6,4,1] => [1,4,6]
0000101110 => [4,1,1,3,1] => [1,3,1,1,4]
00000111110 => [5,5,1] => [1,5,5]
0001011110 => [3,1,1,4,1] => [1,4,1,1,3]
00001111110 => [4,6,1] => [1,6,4]
0010111110 => [2,1,1,5,1] => [1,5,1,1,2]
00011111110 => [3,7,1] => [1,7,3]
0101111110 => [1,1,1,6,1] => [1,6,1,1,1]
00111111110 => [2,8,1] => [1,8,2]
01111111110 => [1,9,1] => [1,9,1]
0010110010 => [2,1,1,2,2,1,1] => [1,1,2,2,1,1,2]
0010111000 => [2,1,1,3,3] => [3,3,1,1,2]
0011001010 => [2,2,2,1,1,1,1] => [1,1,1,1,2,2,2]
0011001100 => [2,2,2,2,2] => [2,2,2,2,2]
0011010010 => [2,2,1,1,2,1,1] => [1,1,2,1,1,2,2]
0011011000 => [2,2,1,2,3] => [3,2,1,2,2]
0011100010 => [2,3,3,1,1] => [1,1,3,3,2]
0011100100 => [2,3,2,1,2] => [2,1,2,3,2]
0011101000 => [2,3,1,1,3] => [3,1,1,3,2]
0011110000 => [2,4,4] => [4,4,2]
0100101010 => [1,1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1,1]
0100101100 => [1,1,2,1,1,2,2] => [2,2,1,1,2,1,1]
0100110100 => [1,1,2,2,1,1,2] => [2,1,1,2,2,1,1]
0101001100 => [1,1,1,1,2,2,2] => [2,2,2,1,1,1,1]
0101010010 => [1,1,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,1,1]
0101011000 => [1,1,1,1,1,2,3] => [3,2,1,1,1,1,1]
0101100100 => [1,1,1,2,2,1,2] => [2,1,2,2,1,1,1]
0101110000 => [1,1,1,3,4] => [4,3,1,1,1]
0110001010 => [1,2,3,1,1,1,1] => [1,1,1,1,3,2,1]
0110001100 => [1,2,3,2,2] => [2,2,3,2,1]
0110010100 => [1,2,2,1,1,1,2] => [2,1,1,1,2,2,1]
0110100010 => [1,2,1,1,3,1,1] => [1,1,3,1,1,2,1]
0110100100 => [1,2,1,1,2,1,2] => [2,1,2,1,1,2,1]
0110101000 => [1,2,1,1,1,1,3] => [3,1,1,1,1,2,1]
0110110000 => [1,2,1,2,4] => [4,2,1,2,1]
0111000100 => [1,3,3,1,2] => [2,1,3,3,1]
0111010000 => [1,3,1,1,4] => [4,1,1,3,1]
001010101010 => [2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,2]
001010101100 => [2,1,1,1,1,1,1,2,2] => [2,2,1,1,1,1,1,1,2]
001010110010 => [2,1,1,1,1,2,2,1,1] => [1,1,2,2,1,1,1,1,2]
001010110100 => [2,1,1,1,1,2,1,1,2] => [2,1,1,2,1,1,1,1,2]
001010111000 => [2,1,1,1,1,3,3] => [3,3,1,1,1,1,2]
001011001010 => [2,1,1,2,2,1,1,1,1] => [1,1,1,1,2,2,1,1,2]
001011001100 => [2,1,1,2,2,2,2] => [2,2,2,2,1,1,2]
001011010010 => [2,1,1,2,1,1,2,1,1] => [1,1,2,1,1,2,1,1,2]
001011010100 => [2,1,1,2,1,1,1,1,2] => [2,1,1,1,1,2,1,1,2]
001011011000 => [2,1,1,2,1,2,3] => [3,2,1,2,1,1,2]
001011100010 => [2,1,1,3,3,1,1] => [1,1,3,3,1,1,2]
001011100100 => [2,1,1,3,2,1,2] => [2,1,2,3,1,1,2]
001011101000 => [2,1,1,3,1,1,3] => [3,1,1,3,1,1,2]
001011110000 => [2,1,1,4,4] => [4,4,1,1,2]
001100101010 => [2,2,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,2,2]
001100101100 => [2,2,2,1,1,2,2] => [2,2,1,1,2,2,2]
001100110010 => [2,2,2,2,2,1,1] => [1,1,2,2,2,2,2]
001100110100 => [2,2,2,2,1,1,2] => [2,1,1,2,2,2,2]
001100111000 => [2,2,2,3,3] => [3,3,2,2,2]
001101001010 => [2,2,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,2,2]
001101001100 => [2,2,1,1,2,2,2] => [2,2,2,1,1,2,2]
001101010010 => [2,2,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,2,2]
001101010100 => [2,2,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,2,2]
001101011000 => [2,2,1,1,1,2,3] => [3,2,1,1,1,2,2]
001101100010 => [2,2,1,2,3,1,1] => [1,1,3,2,1,2,2]
001101100100 => [2,2,1,2,2,1,2] => [2,1,2,2,1,2,2]
001101101000 => [2,2,1,2,1,1,3] => [3,1,1,2,1,2,2]
001101110000 => [2,2,1,3,4] => [4,3,1,2,2]
001110001010 => [2,3,3,1,1,1,1] => [1,1,1,1,3,3,2]
001110001100 => [2,3,3,2,2] => [2,2,3,3,2]
001110010010 => [2,3,2,1,2,1,1] => [1,1,2,1,2,3,2]
001110010100 => [2,3,2,1,1,1,2] => [2,1,1,1,2,3,2]
001110011000 => [2,3,2,2,3] => [3,2,2,3,2]
001110100010 => [2,3,1,1,3,1,1] => [1,1,3,1,1,3,2]
001110100100 => [2,3,1,1,2,1,2] => [2,1,2,1,1,3,2]
001110101000 => [2,3,1,1,1,1,3] => [3,1,1,1,1,3,2]
001110110000 => [2,3,1,2,4] => [4,2,1,3,2]
001111000010 => [2,4,4,1,1] => [1,1,4,4,2]
001111000100 => [2,4,3,1,2] => [2,1,3,4,2]
001111001000 => [2,4,2,1,3] => [3,1,2,4,2]
001111010000 => [2,4,1,1,4] => [4,1,1,4,2]
001111100000 => [2,5,5] => [5,5,2]
010010101010 => [1,1,2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,2,1,1]
010010101100 => [1,1,2,1,1,1,1,2,2] => [2,2,1,1,1,1,2,1,1]
010010110010 => [1,1,2,1,1,2,2,1,1] => [1,1,2,2,1,1,2,1,1]
010010110100 => [1,1,2,1,1,2,1,1,2] => [2,1,1,2,1,1,2,1,1]
010010111000 => [1,1,2,1,1,3,3] => [3,3,1,1,2,1,1]
010011001010 => [1,1,2,2,2,1,1,1,1] => [1,1,1,1,2,2,2,1,1]
010011001100 => [1,1,2,2,2,2,2] => [2,2,2,2,2,1,1]
010011010010 => [1,1,2,2,1,1,2,1,1] => [1,1,2,1,1,2,2,1,1]
010011010100 => [1,1,2,2,1,1,1,1,2] => [2,1,1,1,1,2,2,1,1]
010011011000 => [1,1,2,2,1,2,3] => [3,2,1,2,2,1,1]
010011100010 => [1,1,2,3,3,1,1] => [1,1,3,3,2,1,1]
010011100100 => [1,1,2,3,2,1,2] => [2,1,2,3,2,1,1]
010011101000 => [1,1,2,3,1,1,3] => [3,1,1,3,2,1,1]
010011110000 => [1,1,2,4,4] => [4,4,2,1,1]
010100101010 => [1,1,1,1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1,1,1,1]
010100101100 => [1,1,1,1,2,1,1,2,2] => [2,2,1,1,2,1,1,1,1]
010100110010 => [1,1,1,1,2,2,2,1,1] => [1,1,2,2,2,1,1,1,1]
010100110100 => [1,1,1,1,2,2,1,1,2] => [2,1,1,2,2,1,1,1,1]
010100111000 => [1,1,1,1,2,3,3] => [3,3,2,1,1,1,1]
010101001010 => [1,1,1,1,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,1,1,1,1]
010101001100 => [1,1,1,1,1,1,2,2,2] => [2,2,2,1,1,1,1,1,1]
010101010010 => [1,1,1,1,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,1,1,1,1]
010101010100 => [1,1,1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1,1,1]
010101011000 => [1,1,1,1,1,1,1,2,3] => [3,2,1,1,1,1,1,1,1]
010101100010 => [1,1,1,1,1,2,3,1,1] => [1,1,3,2,1,1,1,1,1]
010101100100 => [1,1,1,1,1,2,2,1,2] => [2,1,2,2,1,1,1,1,1]
010101101000 => [1,1,1,1,1,2,1,1,3] => [3,1,1,2,1,1,1,1,1]
010101110000 => [1,1,1,1,1,3,4] => [4,3,1,1,1,1,1]
010110001010 => [1,1,1,2,3,1,1,1,1] => [1,1,1,1,3,2,1,1,1]
010110001100 => [1,1,1,2,3,2,2] => [2,2,3,2,1,1,1]
010110010010 => [1,1,1,2,2,1,2,1,1] => [1,1,2,1,2,2,1,1,1]
010110010100 => [1,1,1,2,2,1,1,1,2] => [2,1,1,1,2,2,1,1,1]
010110011000 => [1,1,1,2,2,2,3] => [3,2,2,2,1,1,1]
010110100010 => [1,1,1,2,1,1,3,1,1] => [1,1,3,1,1,2,1,1,1]
010110100100 => [1,1,1,2,1,1,2,1,2] => [2,1,2,1,1,2,1,1,1]
010110101000 => [1,1,1,2,1,1,1,1,3] => [3,1,1,1,1,2,1,1,1]
010110110000 => [1,1,1,2,1,2,4] => [4,2,1,2,1,1,1]
010111000010 => [1,1,1,3,4,1,1] => [1,1,4,3,1,1,1]
010111000100 => [1,1,1,3,3,1,2] => [2,1,3,3,1,1,1]
010111001000 => [1,1,1,3,2,1,3] => [3,1,2,3,1,1,1]
010111010000 => [1,1,1,3,1,1,4] => [4,1,1,3,1,1,1]
010111100000 => [1,1,1,4,5] => [5,4,1,1,1]
011000101010 => [1,2,3,1,1,1,1,1,1] => [1,1,1,1,1,1,3,2,1]
011000101100 => [1,2,3,1,1,2,2] => [2,2,1,1,3,2,1]
011000110010 => [1,2,3,2,2,1,1] => [1,1,2,2,3,2,1]
011000110100 => [1,2,3,2,1,1,2] => [2,1,1,2,3,2,1]
011000111000 => [1,2,3,3,3] => [3,3,3,2,1]
011001001010 => [1,2,2,1,2,1,1,1,1] => [1,1,1,1,2,1,2,2,1]
011001001100 => [1,2,2,1,2,2,2] => [2,2,2,1,2,2,1]
011001010010 => [1,2,2,1,1,1,2,1,1] => [1,1,2,1,1,1,2,2,1]
011001010100 => [1,2,2,1,1,1,1,1,2] => [2,1,1,1,1,1,2,2,1]
011001011000 => [1,2,2,1,1,2,3] => [3,2,1,1,2,2,1]
011001100010 => [1,2,2,2,3,1,1] => [1,1,3,2,2,2,1]
011001100100 => [1,2,2,2,2,1,2] => [2,1,2,2,2,2,1]
011001101000 => [1,2,2,2,1,1,3] => [3,1,1,2,2,2,1]
011001110000 => [1,2,2,3,4] => [4,3,2,2,1]
011010001010 => [1,2,1,1,3,1,1,1,1] => [1,1,1,1,3,1,1,2,1]
011010001100 => [1,2,1,1,3,2,2] => [2,2,3,1,1,2,1]
011010010010 => [1,2,1,1,2,1,2,1,1] => [1,1,2,1,2,1,1,2,1]
011010010100 => [1,2,1,1,2,1,1,1,2] => [2,1,1,1,2,1,1,2,1]
011010011000 => [1,2,1,1,2,2,3] => [3,2,2,1,1,2,1]
011010100010 => [1,2,1,1,1,1,3,1,1] => [1,1,3,1,1,1,1,2,1]
011010100100 => [1,2,1,1,1,1,2,1,2] => [2,1,2,1,1,1,1,2,1]
011010101000 => [1,2,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,2,1]
011010110000 => [1,2,1,1,1,2,4] => [4,2,1,1,1,2,1]
011011000010 => [1,2,1,2,4,1,1] => [1,1,4,2,1,2,1]
011011000100 => [1,2,1,2,3,1,2] => [2,1,3,2,1,2,1]
011011001000 => [1,2,1,2,2,1,3] => [3,1,2,2,1,2,1]
011011010000 => [1,2,1,2,1,1,4] => [4,1,1,2,1,2,1]
011011100000 => [1,2,1,3,5] => [5,3,1,2,1]
011100001010 => [1,3,4,1,1,1,1] => [1,1,1,1,4,3,1]
011100001100 => [1,3,4,2,2] => [2,2,4,3,1]
011100010010 => [1,3,3,1,2,1,1] => [1,1,2,1,3,3,1]
011100010100 => [1,3,3,1,1,1,2] => [2,1,1,1,3,3,1]
011100011000 => [1,3,3,2,3] => [3,2,3,3,1]
011100100010 => [1,3,2,1,3,1,1] => [1,1,3,1,2,3,1]
011100100100 => [1,3,2,1,2,1,2] => [2,1,2,1,2,3,1]
011100101000 => [1,3,2,1,1,1,3] => [3,1,1,1,2,3,1]
011100110000 => [1,3,2,2,4] => [4,2,2,3,1]
011101000010 => [1,3,1,1,4,1,1] => [1,1,4,1,1,3,1]
011101000100 => [1,3,1,1,3,1,2] => [2,1,3,1,1,3,1]
011101001000 => [1,3,1,1,2,1,3] => [3,1,2,1,1,3,1]
011101010000 => [1,3,1,1,1,1,4] => [4,1,1,1,1,3,1]
011101100000 => [1,3,1,2,5] => [5,2,1,3,1]
011110000010 => [1,4,5,1,1] => [1,1,5,4,1]
011110000100 => [1,4,4,1,2] => [2,1,4,4,1]
011110001000 => [1,4,3,1,3] => [3,1,3,4,1]
011110010000 => [1,4,2,1,4] => [4,1,2,4,1]
011110100000 => [1,4,1,1,5] => [5,1,1,4,1]
011111000000 => [1,5,6] => [6,5,1]
10101010101 => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1]
10101010010 => [1,1,1,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,1,1,1]
10101001001 => [1,1,1,1,1,2,1,2,1] => [1,2,1,2,1,1,1,1,1]
10101001010 => [1,1,1,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,1,1,1]
10101000100 => [1,1,1,1,1,3,1,2] => [2,1,3,1,1,1,1,1]
10100100101 => [1,1,1,2,1,2,1,1,1] => [1,1,1,2,1,2,1,1,1]
10100100010 => [1,1,1,2,1,3,1,1] => [1,1,3,1,2,1,1,1]
10100101001 => [1,1,1,2,1,1,1,2,1] => [1,2,1,1,1,2,1,1,1]
10100100100 => [1,1,1,2,1,2,1,2] => [2,1,2,1,2,1,1,1]
10100010001 => [1,1,1,3,1,3,1] => [1,3,1,3,1,1,1]
10100010100 => [1,1,1,3,1,1,1,2] => [2,1,1,1,3,1,1,1]
10100001000 => [1,1,1,4,1,3] => [3,1,4,1,1,1]
10010010101 => [1,2,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,2,1]
10010001001 => [1,2,1,3,1,2,1] => [1,2,1,3,1,2,1]
10010100101 => [1,2,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,2,1]
10010101001 => [1,2,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,2,1]
10010100100 => [1,2,1,1,1,2,1,2] => [2,1,2,1,1,1,2,1]
10010010001 => [1,2,1,2,1,3,1] => [1,3,1,2,1,2,1]
10001000101 => [1,3,1,3,1,1,1] => [1,1,1,3,1,3,1]
10001001001 => [1,3,1,2,1,2,1] => [1,2,1,2,1,3,1]
10001010001 => [1,3,1,1,1,3,1] => [1,3,1,1,1,3,1]
10000100001 => [1,4,1,4,1] => [1,4,1,4,1]
01001010101 => [1,1,2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,2,1,1]
01001010010 => [1,1,2,1,1,1,2,1,1] => [1,1,2,1,1,1,2,1,1]
01001001001 => [1,1,2,1,2,1,2,1] => [1,2,1,2,1,2,1,1]
01001001010 => [1,1,2,1,2,1,1,1,1] => [1,1,1,1,2,1,2,1,1]
01001000100 => [1,1,2,1,3,1,2] => [2,1,3,1,2,1,1]
01000100101 => [1,1,3,1,2,1,1,1] => [1,1,1,2,1,3,1,1]
01000100010 => [1,1,3,1,3,1,1] => [1,1,3,1,3,1,1]
01000101001 => [1,1,3,1,1,1,2,1] => [1,2,1,1,1,3,1,1]
01000101010 => [1,1,3,1,1,1,1,1,1] => [1,1,1,1,1,1,3,1,1]
01000100100 => [1,1,3,1,2,1,2] => [2,1,2,1,3,1,1]
01000010001 => [1,1,4,1,3,1] => [1,3,1,4,1,1]
01000010010 => [1,1,4,1,2,1,1] => [1,1,2,1,4,1,1]
01000010100 => [1,1,4,1,1,1,2] => [2,1,1,1,4,1,1]
01000001000 => [1,1,5,1,3] => [3,1,5,1,1]
01010010101 => [1,1,1,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,1,1,1]
01010010010 => [1,1,1,1,2,1,2,1,1] => [1,1,2,1,2,1,1,1,1]
01010001001 => [1,1,1,1,3,1,2,1] => [1,2,1,3,1,1,1,1]
01010001010 => [1,1,1,1,3,1,1,1,1] => [1,1,1,1,3,1,1,1,1]
01010000100 => [1,1,1,1,4,1,2] => [2,1,4,1,1,1,1]
01010100101 => [1,1,1,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,1,1,1]
01010100010 => [1,1,1,1,1,1,3,1,1] => [1,1,3,1,1,1,1,1,1]
01010101001 => [1,1,1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1,1,1]
01010101010 => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1]
01010100100 => [1,1,1,1,1,1,2,1,2] => [2,1,2,1,1,1,1,1,1]
01010010001 => [1,1,1,1,2,1,3,1] => [1,3,1,2,1,1,1,1]
01010010100 => [1,1,1,1,2,1,1,1,2] => [2,1,1,1,2,1,1,1,1]
01010001000 => [1,1,1,1,3,1,3] => [3,1,3,1,1,1,1]
01001000101 => [1,1,2,1,3,1,1,1] => [1,1,1,3,1,2,1,1]
01001000010 => [1,1,2,1,4,1,1] => [1,1,4,1,2,1,1]
01001010001 => [1,1,2,1,1,1,3,1] => [1,3,1,1,1,2,1,1]
01001010100 => [1,1,2,1,1,1,1,1,2] => [2,1,1,1,1,1,2,1,1]
01001001000 => [1,1,2,1,2,1,3] => [3,1,2,1,2,1,1]
01000100001 => [1,1,3,1,4,1] => [1,4,1,3,1,1]
01000101000 => [1,1,3,1,1,1,3] => [3,1,1,1,3,1,1]
01000010000 => [1,1,4,1,4] => [4,1,4,1,1]
00100010101 => [2,1,3,1,1,1,1,1] => [1,1,1,1,1,3,1,2]
00100010010 => [2,1,3,1,2,1,1] => [1,1,2,1,3,1,2]
00100001001 => [2,1,4,1,2,1] => [1,2,1,4,1,2]
00100001010 => [2,1,4,1,1,1,1] => [1,1,1,1,4,1,2]
00100000100 => [2,1,5,1,2] => [2,1,5,1,2]
00100100101 => [2,1,2,1,2,1,1,1] => [1,1,1,2,1,2,1,2]
00100100010 => [2,1,2,1,3,1,1] => [1,1,3,1,2,1,2]
00100101001 => [2,1,2,1,1,1,2,1] => [1,2,1,1,1,2,1,2]
00100101010 => [2,1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1,2]
00100100100 => [2,1,2,1,2,1,2] => [2,1,2,1,2,1,2]
00100010001 => [2,1,3,1,3,1] => [1,3,1,3,1,2]
00100010100 => [2,1,3,1,1,1,2] => [2,1,1,1,3,1,2]
00100001000 => [2,1,4,1,3] => [3,1,4,1,2]
00101000101 => [2,1,1,1,3,1,1,1] => [1,1,1,3,1,1,1,2]
00101000010 => [2,1,1,1,4,1,1] => [1,1,4,1,1,1,2]
00101001001 => [2,1,1,1,2,1,2,1] => [1,2,1,2,1,1,1,2]
00101001010 => [2,1,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,1,2]
00101000100 => [2,1,1,1,3,1,2] => [2,1,3,1,1,1,2]
00101010001 => [2,1,1,1,1,1,3,1] => [1,3,1,1,1,1,1,2]
00101010010 => [2,1,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,1,2]
00101010100 => [2,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,2]
00101001000 => [2,1,1,1,2,1,3] => [3,1,2,1,1,1,2]
00100100001 => [2,1,2,1,4,1] => [1,4,1,2,1,2]
00100101000 => [2,1,2,1,1,1,3] => [3,1,1,1,2,1,2]
00100010000 => [2,1,3,1,4] => [4,1,3,1,2]
00010000101 => [3,1,4,1,1,1] => [1,1,1,4,1,3]
00010000010 => [3,1,5,1,1] => [1,1,5,1,3]
00010001001 => [3,1,3,1,2,1] => [1,2,1,3,1,3]
00010001010 => [3,1,3,1,1,1,1] => [1,1,1,1,3,1,3]
00010000100 => [3,1,4,1,2] => [2,1,4,1,3]
00010010001 => [3,1,2,1,3,1] => [1,3,1,2,1,3]
00010010010 => [3,1,2,1,2,1,1] => [1,1,2,1,2,1,3]
00010010100 => [3,1,2,1,1,1,2] => [2,1,1,1,2,1,3]
00010001000 => [3,1,3,1,3] => [3,1,3,1,3]
00010100001 => [3,1,1,1,4,1] => [1,4,1,1,1,3]
00010100010 => [3,1,1,1,3,1,1] => [1,1,3,1,1,1,3]
00010100100 => [3,1,1,1,2,1,2] => [2,1,2,1,1,1,3]
00010101000 => [3,1,1,1,1,1,3] => [3,1,1,1,1,1,3]
00010010000 => [3,1,2,1,4] => [4,1,2,1,3]
00001000001 => [4,1,5,1] => [1,5,1,4]
00001000010 => [4,1,4,1,1] => [1,1,4,1,4]
00001000100 => [4,1,3,1,2] => [2,1,3,1,4]
00001001000 => [4,1,2,1,3] => [3,1,2,1,4]
00001010000 => [4,1,1,1,4] => [4,1,1,1,4]
00000100000 => [5,1,5] => [5,1,5]
10101010101010101010 => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
0100000000 => [1,1,8] => [8,1,1]
0100000011 => [1,1,6,2] => [2,6,1,1]
0100000111 => [1,1,5,3] => [3,5,1,1]
0100011111 => [1,1,3,5] => [5,3,1,1]
0100111111 => [1,1,2,6] => [6,2,1,1]
0101111111 => [1,1,1,7] => [7,1,1,1]
01000000000 => [1,1,9] => [9,1,1]
0100000101 => [1,1,5,1,1,1] => [1,1,1,5,1,1]
0100001011 => [1,1,4,1,1,2] => [2,1,1,4,1,1]
0100101111 => [1,1,2,1,1,4] => [4,1,1,2,1,1]
0101011111 => [1,1,1,1,1,5] => [5,1,1,1,1,1]
0110111111 => [1,2,1,6] => [6,1,2,1]
0101010110 => [1,1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1,1]
0101011001 => [1,1,1,1,1,2,2,1] => [1,2,2,1,1,1,1,1]
0101011010 => [1,1,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,1,1]
0101011100 => [1,1,1,1,1,3,2] => [2,3,1,1,1,1,1]
0101100101 => [1,1,1,2,2,1,1,1] => [1,1,1,2,2,1,1,1]
0101100110 => [1,1,1,2,2,2,1] => [1,2,2,2,1,1,1]
0101101001 => [1,1,1,2,1,1,2,1] => [1,2,1,1,2,1,1,1]
0101101010 => [1,1,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,1,1]
0101101100 => [1,1,1,2,1,2,2] => [2,2,1,2,1,1,1]
0101110001 => [1,1,1,3,3,1] => [1,3,3,1,1,1]
0101110010 => [1,1,1,3,2,1,1] => [1,1,2,3,1,1,1]
0101110100 => [1,1,1,3,1,1,2] => [2,1,1,3,1,1,1]
0101111000 => [1,1,1,4,3] => [3,4,1,1,1]
0110010101 => [1,2,2,1,1,1,1,1] => [1,1,1,1,1,2,2,1]
0110010110 => [1,2,2,1,1,2,1] => [1,2,1,1,2,2,1]
0110011001 => [1,2,2,2,2,1] => [1,2,2,2,2,1]
0110011010 => [1,2,2,2,1,1,1] => [1,1,1,2,2,2,1]
0110011100 => [1,2,2,3,2] => [2,3,2,2,1]
0110100101 => [1,2,1,1,2,1,1,1] => [1,1,1,2,1,1,2,1]
0110100110 => [1,2,1,1,2,2,1] => [1,2,2,1,1,2,1]
0110101001 => [1,2,1,1,1,1,2,1] => [1,2,1,1,1,1,2,1]
0110101010 => [1,2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,2,1]
0110101100 => [1,2,1,1,1,2,2] => [2,2,1,1,1,2,1]
0110110001 => [1,2,1,2,3,1] => [1,3,2,1,2,1]
0110110010 => [1,2,1,2,2,1,1] => [1,1,2,2,1,2,1]
0110110100 => [1,2,1,2,1,1,2] => [2,1,1,2,1,2,1]
0110111000 => [1,2,1,3,3] => [3,3,1,2,1]
0111000101 => [1,3,3,1,1,1] => [1,1,1,3,3,1]
0111000110 => [1,3,3,2,1] => [1,2,3,3,1]
0111001001 => [1,3,2,1,2,1] => [1,2,1,2,3,1]
0111001010 => [1,3,2,1,1,1,1] => [1,1,1,1,2,3,1]
0111001100 => [1,3,2,2,2] => [2,2,2,3,1]
0111010010 => [1,3,1,1,2,1,1] => [1,1,2,1,1,3,1]
0111011000 => [1,3,1,2,3] => [3,2,1,3,1]
0111100010 => [1,4,3,1,1] => [1,1,3,4,1]
0111100100 => [1,4,2,1,2] => [2,1,2,4,1]
0111101000 => [1,4,1,1,3] => [3,1,1,4,1]
0111110000 => [1,5,4] => [4,5,1]
010101010110 => [1,1,1,1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1,1,1,1]
010101011001 => [1,1,1,1,1,1,1,2,2,1] => [1,2,2,1,1,1,1,1,1,1]
010101011010 => [1,1,1,1,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,1,1,1,1]
010101100101 => [1,1,1,1,1,2,2,1,1,1] => [1,1,1,2,2,1,1,1,1,1]
010101100110 => [1,1,1,1,1,2,2,2,1] => [1,2,2,2,1,1,1,1,1]
010101101001 => [1,1,1,1,1,2,1,1,2,1] => [1,2,1,1,2,1,1,1,1,1]
010101101100 => [1,1,1,1,1,2,1,2,2] => [2,2,1,2,1,1,1,1,1]
010101110010 => [1,1,1,1,1,3,2,1,1] => [1,1,2,3,1,1,1,1,1]
010101110100 => [1,1,1,1,1,3,1,1,2] => [2,1,1,3,1,1,1,1,1]
010101111000 => [1,1,1,1,1,4,3] => [3,4,1,1,1,1,1]
010110010101 => [1,1,1,2,2,1,1,1,1,1] => [1,1,1,1,1,2,2,1,1,1]
010110010110 => [1,1,1,2,2,1,1,2,1] => [1,2,1,1,2,2,1,1,1]
010110011001 => [1,1,1,2,2,2,2,1] => [1,2,2,2,2,1,1,1]
010110100101 => [1,1,1,2,1,1,2,1,1,1] => [1,1,1,2,1,1,2,1,1,1]
010110101001 => [1,1,1,2,1,1,1,1,2,1] => [1,2,1,1,1,1,2,1,1,1]
010110101010 => [1,1,1,2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,2,1,1,1]
010111001100 => [1,1,1,3,2,2,2] => [2,2,2,3,1,1,1]
010111010010 => [1,1,1,3,1,1,2,1,1] => [1,1,2,1,1,3,1,1,1]
010111010100 => [1,1,1,3,1,1,1,1,2] => [2,1,1,1,1,3,1,1,1]
010111011000 => [1,1,1,3,1,2,3] => [3,2,1,3,1,1,1]
010111100100 => [1,1,1,4,2,1,2] => [2,1,2,4,1,1,1]
010111110000 => [1,1,1,5,4] => [4,5,1,1,1]
011001010101 => [1,2,2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,2,2,1]
011001010110 => [1,2,2,1,1,1,1,2,1] => [1,2,1,1,1,1,2,2,1]
011001011001 => [1,2,2,1,1,2,2,1] => [1,2,2,1,1,2,2,1]
011001100101 => [1,2,2,2,2,1,1,1] => [1,1,1,2,2,2,2,1]
011001101001 => [1,2,2,2,1,1,2,1] => [1,2,1,1,2,2,2,1]
011001101010 => [1,2,2,2,1,1,1,1,1] => [1,1,1,1,1,2,2,2,1]
011001101100 => [1,2,2,2,1,2,2] => [2,2,1,2,2,2,1]
011001110001 => [1,2,2,3,3,1] => [1,3,3,2,2,1]
011001110100 => [1,2,2,3,1,1,2] => [2,1,1,3,2,2,1]
011010010101 => [1,2,1,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,1,2,1]
011010010110 => [1,2,1,1,2,1,1,2,1] => [1,2,1,1,2,1,1,2,1]
011010011001 => [1,2,1,1,2,2,2,1] => [1,2,2,2,1,1,2,1]
011010011010 => [1,2,1,1,2,2,1,1,1] => [1,1,1,2,2,1,1,2,1]
011010100101 => [1,2,1,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,1,2,1]
011010100110 => [1,2,1,1,1,1,2,2,1] => [1,2,2,1,1,1,1,2,1]
011010101001 => [1,2,1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1,2,1]
011010101010 => [1,2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,2,1]
011010110010 => [1,2,1,1,1,2,2,1,1] => [1,1,2,2,1,1,1,2,1]
011011000110 => [1,2,1,2,3,2,1] => [1,2,3,2,1,2,1]
011011001001 => [1,2,1,2,2,1,2,1] => [1,2,1,2,2,1,2,1]
011011001010 => [1,2,1,2,2,1,1,1,1] => [1,1,1,1,2,2,1,2,1]
011011001100 => [1,2,1,2,2,2,2] => [2,2,2,2,1,2,1]
011011010010 => [1,2,1,2,1,1,2,1,1] => [1,1,2,1,1,2,1,2,1]
011011010100 => [1,2,1,2,1,1,1,1,2] => [2,1,1,1,1,2,1,2,1]
011011011000 => [1,2,1,2,1,2,3] => [3,2,1,2,1,2,1]
011011100010 => [1,2,1,3,3,1,1] => [1,1,3,3,1,2,1]
011011100100 => [1,2,1,3,2,1,2] => [2,1,2,3,1,2,1]
011011101000 => [1,2,1,3,1,1,3] => [3,1,1,3,1,2,1]
011011110000 => [1,2,1,4,4] => [4,4,1,2,1]
011100010110 => [1,3,3,1,1,2,1] => [1,2,1,1,3,3,1]
011100011001 => [1,3,3,2,2,1] => [1,2,2,3,3,1]
011100011100 => [1,3,3,3,2] => [2,3,3,3,1]
011100110001 => [1,3,2,2,3,1] => [1,3,2,2,3,1]
011101100100 => [1,3,1,2,2,1,2] => [2,1,2,2,1,3,1]
011101110000 => [1,3,1,3,4] => [4,3,1,3,1]
011110001010 => [1,4,3,1,1,1,1] => [1,1,1,1,3,4,1]
011110001100 => [1,4,3,2,2] => [2,2,3,4,1]
011110100010 => [1,4,1,1,3,1,1] => [1,1,3,1,1,4,1]
011111000001 => [1,5,5,1] => [1,5,5,1]
011111000100 => [1,5,3,1,2] => [2,1,3,5,1]
011111010000 => [1,5,1,1,4] => [4,1,1,5,1]
0100000100 => [1,1,5,1,2] => [2,1,5,1,1]
0011100110 => [2,3,2,2,1] => [1,2,2,3,2]
0011101010 => [2,3,1,1,1,1,1] => [1,1,1,1,1,3,2]
0011101100 => [2,3,1,2,2] => [2,2,1,3,2]
0001101110 => [3,2,1,3,1] => [1,3,1,2,3]
0010110110 => [2,1,1,2,1,2,1] => [1,2,1,2,1,1,2]
0011110010 => [2,4,2,1,1] => [1,1,2,4,2]
0001110110 => [3,3,1,2,1] => [1,2,1,3,3]
0100111010 => [1,1,2,3,1,1,1] => [1,1,1,3,2,1,1]
0010111010 => [2,1,1,3,1,1,1] => [1,1,1,3,1,1,2]
0011111000 => [2,5,3] => [3,5,2]
0001111010 => [3,4,1,1,1] => [1,1,1,4,3]
0100111100 => [1,1,2,4,2] => [2,4,2,1,1]
0001111100 => [3,5,2] => [2,5,3]
001111000110 => [2,4,3,2,1] => [1,2,3,4,2]
001111001010 => [2,4,2,1,1,1,1] => [1,1,1,1,2,4,2]
100111001100 => [1,2,3,2,2,2] => [2,2,2,3,2,1]
001111001100 => [2,4,2,2,2] => [2,2,2,4,2]
001011010110 => [2,1,1,2,1,1,1,2,1] => [1,2,1,1,1,2,1,1,2]
001111010010 => [2,4,1,1,2,1,1] => [1,1,2,1,1,4,2]
100111010100 => [1,2,3,1,1,1,1,2] => [2,1,1,1,1,3,2,1]
001111010100 => [2,4,1,1,1,1,2] => [2,1,1,1,1,4,2]
000111010110 => [3,3,1,1,1,2,1] => [1,2,1,1,1,3,3]
001011011010 => [2,1,1,2,1,2,1,1,1] => [1,1,1,2,1,2,1,1,2]
100111011000 => [1,2,3,1,2,3] => [3,2,1,3,2,1]
001111011000 => [2,4,1,2,3] => [3,2,1,4,2]
100011011100 => [1,3,2,1,3,2] => [2,3,1,2,3,1]
010011011100 => [1,1,2,2,1,3,2] => [2,3,1,2,2,1,1]
001011011100 => [2,1,1,2,1,3,2] => [2,3,1,2,1,1,2]
000111011100 => [3,3,1,3,2] => [2,3,1,3,3]
000011011110 => [4,2,1,4,1] => [1,4,1,2,4]
001101100110 => [2,2,1,2,2,2,1] => [1,2,2,2,1,2,2]
001101101010 => [2,2,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,2,2]
100101101100 => [1,2,1,1,2,1,2,2] => [2,2,1,2,1,1,2,1]
001101101100 => [2,2,1,2,1,2,2] => [2,2,1,2,1,2,2]
001011100110 => [2,1,1,3,2,2,1] => [1,2,2,3,1,1,2]
001111100010 => [2,5,3,1,1] => [1,1,3,5,2]
100111100100 => [1,2,4,2,1,2] => [2,1,2,4,2,1]
001111100100 => [2,5,2,1,2] => [2,1,2,5,2]
010011101010 => [1,1,2,3,1,1,1,1,1] => [1,1,1,1,1,3,2,1,1]
001011101010 => [2,1,1,3,1,1,1,1,1] => [1,1,1,1,1,3,1,1,2]
100111101000 => [1,2,4,1,1,3] => [3,1,1,4,2,1]
001111101000 => [2,5,1,1,3] => [3,1,1,5,2]
000111101010 => [3,4,1,1,1,1,1] => [1,1,1,1,1,4,3]
100011101100 => [1,3,3,1,2,2] => [2,2,1,3,3,1]
010011101100 => [1,1,2,3,1,2,2] => [2,2,1,3,2,1,1]
001011101100 => [2,1,1,3,1,2,2] => [2,2,1,3,1,1,2]
000111101100 => [3,4,1,2,2] => [2,2,1,4,3]
000011101110 => [4,3,1,3,1] => [1,3,1,3,4]
101001110100 => [1,1,1,2,3,1,1,2] => [2,1,1,3,2,1,1,1]
001001110110 => [2,1,2,3,1,2,1] => [1,2,1,3,2,1,2]
001101110010 => [2,2,1,3,2,1,1] => [1,1,2,3,1,2,2]
100101110100 => [1,2,1,1,3,1,1,2] => [2,1,1,3,1,1,2,1]
001101110100 => [2,2,1,3,1,1,2] => [2,1,1,3,1,2,2]
000101110110 => [3,1,1,3,1,2,1] => [1,2,1,3,1,1,3]
001011110010 => [2,1,1,4,2,1,1] => [1,1,2,4,1,1,2]
100111110000 => [1,2,5,4] => [4,5,2,1]
001111110000 => [2,6,4] => [4,6,2]
100011110100 => [1,3,4,1,1,2] => [2,1,1,4,3,1]
010011110100 => [1,1,2,4,1,1,2] => [2,1,1,4,2,1,1]
001011110100 => [2,1,1,4,1,1,2] => [2,1,1,4,1,1,2]
000111110100 => [3,5,1,1,2] => [2,1,1,5,3]
000011110110 => [4,4,1,2,1] => [1,2,1,4,4]
110001111000 => [2,3,4,3] => [3,4,3,2]
101001111000 => [1,1,1,2,4,3] => [3,4,2,1,1,1]
001001111010 => [2,1,2,4,1,1,1] => [1,1,1,4,2,1,2]
100101111000 => [1,2,1,1,4,3] => [3,4,1,1,2,1]
001101111000 => [2,2,1,4,3] => [3,4,1,2,2]
100011111000 => [1,3,5,3] => [3,5,3,1]
001011111000 => [2,1,1,5,3] => [3,5,1,1,2]
000011111010 => [4,5,1,1,1] => [1,1,1,5,4]
010001111100 => [1,1,3,5,2] => [2,5,3,1,1]
001001111100 => [2,1,2,5,2] => [2,5,2,1,2]
000101111100 => [3,1,1,5,2] => [2,5,1,1,3]
000011111100 => [4,6,2] => [2,6,4]
0000000101 => [7,1,1,1] => [1,1,1,7]
0000001101 => [6,2,1,1] => [1,1,2,6]
0000011101 => [5,3,1,1] => [1,1,3,5]
0001111101 => [3,5,1,1] => [1,1,5,3]
0011111101 => [2,6,1,1] => [1,1,6,2]
0000001001 => [6,1,2,1] => [1,2,1,6]
0000010101 => [5,1,1,1,1,1] => [1,1,1,1,1,5]
0000101101 => [4,1,1,2,1,1] => [1,1,2,1,1,4]
0010111101 => [2,1,1,4,1,1] => [1,1,4,1,1,2]
0101111101 => [1,1,1,5,1,1] => [1,1,5,1,1,1]
11111111101 => [9,1,1] => [1,1,9]
100101010101 => [1,2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,2,1]
100101011001 => [1,2,1,1,1,1,2,2,1] => [1,2,2,1,1,1,1,2,1]
100101100101 => [1,2,1,1,2,2,1,1,1] => [1,1,1,2,2,1,1,2,1]
100101101001 => [1,2,1,1,2,1,1,2,1] => [1,2,1,1,2,1,1,2,1]
100110010101 => [1,2,2,2,1,1,1,1,1] => [1,1,1,1,1,2,2,2,1]
100110101001 => [1,2,2,1,1,1,1,2,1] => [1,2,1,1,1,1,2,2,1]
100111000101 => [1,2,3,3,1,1,1] => [1,1,1,3,3,2,1]
100111001001 => [1,2,3,2,1,2,1] => [1,2,1,2,3,2,1]
101001010101 => [1,1,1,2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,2,1,1,1]
101001101001 => [1,1,1,2,2,1,1,2,1] => [1,2,1,1,2,2,1,1,1]
101010011001 => [1,1,1,1,1,2,2,2,1] => [1,2,2,2,1,1,1,1,1]
101010100101 => [1,1,1,1,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,1,1,1,1]
101010101001 => [1,1,1,1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1,1,1,1]
101011001001 => [1,1,1,1,2,2,1,2,1] => [1,2,1,2,2,1,1,1,1]
101100010101 => [1,1,2,3,1,1,1,1,1] => [1,1,1,1,1,3,2,1,1]
101100101001 => [1,1,2,2,1,1,1,2,1] => [1,2,1,1,1,2,2,1,1]
101101001001 => [1,1,2,1,1,2,1,2,1] => [1,2,1,2,1,1,2,1,1]
110001011001 => [2,3,1,1,2,2,1] => [1,2,2,1,1,3,2]
110001100101 => [2,3,2,2,1,1,1] => [1,1,1,2,2,3,2]
110001101001 => [2,3,2,1,1,2,1] => [1,2,1,1,2,3,2]
110001110001 => [2,3,3,3,1] => [1,3,3,3,2]
110010010101 => [2,2,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,2,2]
110010011001 => [2,2,1,2,2,2,1] => [1,2,2,2,1,2,2]
110011000101 => [2,2,2,3,1,1,1] => [1,1,1,3,2,2,2]
110011001001 => [2,2,2,2,1,2,1] => [1,2,1,2,2,2,2]
110011100001 => [2,2,3,4,1] => [1,4,3,2,2]
110100010101 => [2,1,1,3,1,1,1,1,1] => [1,1,1,1,1,3,1,1,2]
110100011001 => [2,1,1,3,2,2,1] => [1,2,2,3,1,1,2]
110100100101 => [2,1,1,2,1,2,1,1,1] => [1,1,1,2,1,2,1,1,2]
110100101001 => [2,1,1,2,1,1,1,2,1] => [1,2,1,1,1,2,1,1,2]
110110000101 => [2,1,2,4,1,1,1] => [1,1,1,4,2,1,2]
110110001001 => [2,1,2,3,1,2,1] => [1,2,1,3,2,1,2]
111000010101 => [3,4,1,1,1,1,1] => [1,1,1,1,1,4,3]
111000101001 => [3,3,1,1,1,2,1] => [1,2,1,1,1,3,3]
111001000101 => [3,2,1,3,1,1,1] => [1,1,1,3,1,2,3]
111001001001 => [3,2,1,2,1,2,1] => [1,2,1,2,1,2,3]
111010001001 => [3,1,1,3,1,2,1] => [1,2,1,3,1,1,3]
111100000101 => [4,5,1,1,1] => [1,1,1,5,4]
111100001001 => [4,4,1,2,1] => [1,2,1,4,4]
111100010001 => [4,3,1,3,1] => [1,3,1,3,4]
111100100001 => [4,2,1,4,1] => [1,4,1,2,4]
0111000011 => [1,3,4,2] => [2,4,3,1]
0011110001 => [2,4,3,1] => [1,3,4,2]
110100000111 => [2,1,1,5,3] => [3,5,1,1,2]
110011000011 => [2,2,2,4,2] => [2,4,2,2,2]
110110000011 => [2,1,2,5,2] => [2,5,2,1,2]
110000111100 => [2,4,4,2] => [2,4,4,2]
110000001111 => [2,6,4] => [4,6,2]
011100000111 => [1,3,5,3] => [3,5,3,1]
111010000011 => [3,1,1,5,2] => [2,5,1,1,3]
111000011100 => [3,4,3,2] => [2,3,4,3]
001111000011 => [2,4,4,2] => [2,4,4,2]
011110000011 => [1,4,5,2] => [2,5,4,1]
111100000011 => [4,6,2] => [2,6,4]
000111110001 => [3,5,3,1] => [1,3,5,3]
001111100001 => [2,5,4,1] => [1,4,5,2]
01111110101 => [1,6,1,1,1,1] => [1,1,1,1,6,1]
0011011001 => [2,2,1,2,2,1] => [1,2,2,1,2,2]
0010110001 => [2,1,1,2,3,1] => [1,3,2,1,1,2]
0001000001 => [3,1,5,1] => [1,5,1,3]
0111010101 => [1,3,1,1,1,1,1,1] => [1,1,1,1,1,1,3,1]
0111010011 => [1,3,1,1,2,2] => [2,2,1,1,3,1]
0111001101 => [1,3,2,2,1,1] => [1,1,2,2,3,1]
0111011001 => [1,3,1,2,2,1] => [1,2,2,1,3,1]
0111000111 => [1,3,3,3] => [3,3,3,1]
0011110101 => [2,4,1,1,1,1] => [1,1,1,1,4,2]
0011110011 => [2,4,2,2] => [2,2,4,2]
0111100101 => [1,4,2,1,1,1] => [1,1,1,2,4,1]
0111100011 => [1,4,3,2] => [2,3,4,1]
0011111001 => [2,5,2,1] => [1,2,5,2]
0000111111 => [4,6] => [6,4]
110101010101 => [2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,2]
110101010011 => [2,1,1,1,1,1,1,2,2] => [2,2,1,1,1,1,1,1,2]
110101001101 => [2,1,1,1,1,2,2,1,1] => [1,1,2,2,1,1,1,1,2]
110101000111 => [2,1,1,1,1,3,3] => [3,3,1,1,1,1,2]
110100110101 => [2,1,1,2,2,1,1,1,1] => [1,1,1,1,2,2,1,1,2]
110100110011 => [2,1,1,2,2,2,2] => [2,2,2,2,1,1,2]
110101100011 => [2,1,1,1,2,3,2] => [2,3,2,1,1,1,2]
110100011101 => [2,1,1,3,3,1,1] => [1,1,3,3,1,1,2]
110100111001 => [2,1,1,2,3,2,1] => [1,2,3,2,1,1,2]
110100001111 => [2,1,1,4,4] => [4,4,1,1,2]
110011010101 => [2,2,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,2,2]
110011010011 => [2,2,2,1,1,2,2] => [2,2,1,1,2,2,2]
110011001101 => [2,2,2,2,2,1,1] => [1,1,2,2,2,2,2]
110011011001 => [2,2,2,1,2,2,1] => [1,2,2,1,2,2,2]
110011000111 => [2,2,2,3,3] => [3,3,2,2,2]
110110010011 => [2,1,2,2,1,2,2] => [2,2,1,2,2,1,2]
110110001101 => [2,1,2,3,2,1,1] => [1,1,2,3,2,1,2]
110110011001 => [2,1,2,2,2,2,1] => [1,2,2,2,2,1,2]
110001110101 => [2,3,3,1,1,1,1] => [1,1,1,1,3,3,2]
110001110011 => [2,3,3,2,2] => [2,2,3,3,2]
110011100101 => [2,2,3,2,1,1,1] => [1,1,1,2,3,2,2]
110011101001 => [2,2,3,1,1,2,1] => [1,2,1,1,3,2,2]
110011100011 => [2,2,3,3,2] => [2,3,3,2,2]
110111000101 => [2,1,3,3,1,1,1] => [1,1,1,3,3,1,2]
110111001001 => [2,1,3,2,1,2,1] => [1,2,1,2,3,1,2]
110000111101 => [2,4,4,1,1] => [1,1,4,4,2]
110001111001 => [2,3,4,2,1] => [1,2,4,3,2]
110011110001 => [2,2,4,3,1] => [1,3,4,2,2]
110000011111 => [2,5,5] => [5,5,2]
011100110011 => [1,3,2,2,2,2] => [2,2,2,2,3,1]
011100111001 => [1,3,2,3,2,1] => [1,2,3,2,3,1]
011100001111 => [1,3,4,4] => [4,4,3,1]
111001010011 => [3,2,1,1,1,2,2] => [2,2,1,1,1,2,3]
111001001101 => [3,2,1,2,2,1,1] => [1,1,2,2,1,2,3]
111001011001 => [3,2,1,1,2,2,1] => [1,2,2,1,1,2,3]
111010010011 => [3,1,1,2,1,2,2] => [2,2,1,2,1,1,3]
111010001101 => [3,1,1,3,2,1,1] => [1,1,2,3,1,1,3]
111010011001 => [3,1,1,2,2,2,1] => [1,2,2,2,1,1,3]
111000110101 => [3,3,2,1,1,1,1] => [1,1,1,1,2,3,3]
111000110011 => [3,3,2,2,2] => [2,2,2,3,3]
111001100101 => [3,2,2,2,1,1,1] => [1,1,1,2,2,2,3]
111001101001 => [3,2,2,1,1,2,1] => [1,2,1,1,2,2,3]
111001100011 => [3,2,2,3,2] => [2,3,2,2,3]
111011000101 => [3,1,2,3,1,1,1] => [1,1,1,3,2,1,3]
111011001001 => [3,1,2,2,1,2,1] => [1,2,1,2,2,1,3]
111000111001 => [3,3,3,2,1] => [1,2,3,3,3]
111001110001 => [3,2,3,3,1] => [1,3,3,2,3]
111000001111 => [3,5,4] => [4,5,3]
001111000111 => [2,4,3,3] => [3,3,4,2]
011110000111 => [1,4,4,3] => [3,4,4,1]
111100010101 => [4,3,1,1,1,1,1] => [1,1,1,1,1,3,4]
111100100101 => [4,2,1,2,1,1,1] => [1,1,1,2,1,2,4]
111100101001 => [4,2,1,1,1,2,1] => [1,2,1,1,1,2,4]
111101000101 => [4,1,1,3,1,1,1] => [1,1,1,3,1,1,4]
111101001001 => [4,1,1,2,1,2,1] => [1,2,1,2,1,1,4]
111100011001 => [4,3,2,2,1] => [1,2,2,3,4]
111100110001 => [4,2,2,3,1] => [1,3,2,2,4]
111100000111 => [4,5,3] => [3,5,4]
000111110011 => [3,5,2,2] => [2,2,5,3]
001111100011 => [2,5,3,2] => [2,3,5,2]
011111000011 => [1,5,4,2] => [2,4,5,1]
111110000011 => [5,5,2] => [2,5,5]
111111000001 => [6,5,1] => [1,5,6]
000001111111 => [5,7] => [7,5]
0001101100 => [3,2,1,2,2] => [2,2,1,2,3]
0011000110 => [2,2,3,2,1] => [1,2,3,2,2]
0010001110 => [2,1,3,3,1] => [1,3,3,1,2]
10111111101 => [1,1,7,1,1] => [1,1,7,1,1]
01011111101 => [1,1,1,6,1,1] => [1,1,6,1,1,1]
00101111101 => [2,1,1,5,1,1] => [1,1,5,1,1,2]
0110111001 => [1,2,1,3,2,1] => [1,2,3,1,2,1]
00010111101 => [3,1,1,4,1,1] => [1,1,4,1,1,3]
00001011101 => [4,1,1,3,1,1] => [1,1,3,1,1,4]
0001101001 => [3,2,1,1,2,1] => [1,2,1,1,2,3]
00000101101 => [5,1,1,2,1,1] => [1,1,2,1,1,5]
0000110001 => [4,2,3,1] => [1,3,2,4]
00000010101 => [6,1,1,1,1,1] => [1,1,1,1,1,6]
0000010001 => [5,1,3,1] => [1,3,1,5]
00000001001 => [7,1,2,1] => [1,2,1,7]
10000000001 => [1,9,1] => [1,9,1]
11000000001 => [2,8,1] => [1,8,2]
11100000001 => [3,7,1] => [1,7,3]
11110000001 => [4,6,1] => [1,6,4]
11111000001 => [5,5,1] => [1,5,5]
11111100001 => [6,4,1] => [1,4,6]
11111110001 => [7,3,1] => [1,3,7]
11111111001 => [8,2,1] => [1,2,8]
11111111111 => [11] => [11]
0100011001 => [1,1,3,2,2,1] => [1,2,2,3,1,1]
0100111001 => [1,1,2,3,2,1] => [1,2,3,2,1,1]
0101111001 => [1,1,1,4,2,1] => [1,2,4,1,1,1]
0110010001 => [1,2,2,1,3,1] => [1,3,1,2,2,1]
0100010001 => [1,1,3,1,3,1] => [1,3,1,3,1,1]
0100110001 => [1,1,2,2,3,1] => [1,3,2,2,1,1]
0100100001 => [1,1,2,1,4,1] => [1,4,1,2,1,1]
0101100001 => [1,1,1,2,4,1] => [1,4,2,1,1,1]
0110011011 => [1,2,2,2,1,2] => [2,1,2,2,2,1]
0110111011 => [1,2,1,3,1,2] => [2,1,3,1,2,1]
0100111011 => [1,1,2,3,1,2] => [2,1,3,2,1,1]
0101111011 => [1,1,1,4,1,2] => [2,1,4,1,1,1]
0110010011 => [1,2,2,1,2,2] => [2,2,1,2,2,1]
0100010011 => [1,1,3,1,2,2] => [2,2,1,3,1,1]
0110110011 => [1,2,1,2,2,2] => [2,2,2,1,2,1]
0101110011 => [1,1,1,3,2,2] => [2,2,3,1,1,1]
0110100011 => [1,2,1,1,3,2] => [2,3,1,1,2,1]
0100100011 => [1,1,2,1,3,2] => [2,3,1,2,1,1]
0101100011 => [1,1,1,2,3,2] => [2,3,2,1,1,1]
0101000011 => [1,1,1,1,4,2] => [2,4,1,1,1,1]
0110010111 => [1,2,2,1,1,3] => [3,1,1,2,2,1]
0110110111 => [1,2,1,2,1,3] => [3,1,2,1,2,1]
0100110111 => [1,1,2,2,1,3] => [3,1,2,2,1,1]
0101110111 => [1,1,1,3,1,3] => [3,1,3,1,1,1]
0110100111 => [1,2,1,1,2,3] => [3,2,1,1,2,1]
0101100111 => [1,1,1,2,2,3] => [3,2,2,1,1,1]
0110101111 => [1,2,1,1,1,4] => [4,1,1,1,2,1]
0101101111 => [1,1,1,2,1,4] => [4,1,2,1,1,1]
0101001111 => [1,1,1,1,2,4] => [4,2,1,1,1,1]
100100111001 => [1,2,1,2,3,2,1] => [1,2,3,2,1,2,1]
100110011011 => [1,2,2,2,2,1,2] => [2,1,2,2,2,2,1]
100100011011 => [1,2,1,3,2,1,2] => [2,1,2,3,1,2,1]
101100011011 => [1,1,2,3,2,1,2] => [2,1,2,3,2,1,1]
101000011011 => [1,1,1,4,2,1,2] => [2,1,2,4,1,1,1]
100100111011 => [1,2,1,2,3,1,2] => [2,1,3,2,1,2,1]
101000111011 => [1,1,1,3,3,1,2] => [2,1,3,3,1,1,1]
100110010011 => [1,2,2,2,1,2,2] => [2,2,1,2,2,2,1]
101100010011 => [1,1,2,3,1,2,2] => [2,2,1,3,2,1,1]
100110110011 => [1,2,2,1,2,2,2] => [2,2,2,1,2,2,1]
100100110011 => [1,2,1,2,2,2,2] => [2,2,2,2,1,2,1]
101100110011 => [1,1,2,2,2,2,2] => [2,2,2,2,2,1,1]
101000110011 => [1,1,1,3,2,2,2] => [2,2,2,3,1,1,1]
100101110011 => [1,2,1,1,3,2,2] => [2,2,3,1,1,2,1]
101001110011 => [1,1,1,2,3,2,2] => [2,2,3,2,1,1,1]
101100100011 => [1,1,2,2,1,3,2] => [2,3,1,2,2,1,1]
100110010111 => [1,2,2,2,1,1,3] => [3,1,1,2,2,2,1]
100100010111 => [1,2,1,3,1,1,3] => [3,1,1,3,1,2,1]
101100010111 => [1,1,2,3,1,1,3] => [3,1,1,3,2,1,1]
100100110111 => [1,2,1,2,2,1,3] => [3,1,2,2,1,2,1]
101000110111 => [1,1,1,3,2,1,3] => [3,1,2,3,1,1,1]
100110100111 => [1,2,2,1,1,2,3] => [3,2,1,1,2,2,1]
100100100111 => [1,2,1,2,1,2,3] => [3,2,1,2,1,2,1]
101100100111 => [1,1,2,2,1,2,3] => [3,2,1,2,2,1,1]
101000100111 => [1,1,1,3,1,2,3] => [3,2,1,3,1,1,1]
100101100111 => [1,2,1,1,2,2,3] => [3,2,2,1,1,2,1]
101001100111 => [1,1,1,2,2,2,3] => [3,2,2,2,1,1,1]
101101000111 => [1,1,2,1,1,3,3] => [3,3,1,1,2,1,1]
101011000111 => [1,1,1,1,2,3,3] => [3,3,2,1,1,1,1]
101010000111 => [1,1,1,1,1,4,3] => [3,4,1,1,1,1,1]
100100101111 => [1,2,1,2,1,1,4] => [4,1,1,2,1,2,1]
101000101111 => [1,1,1,3,1,1,4] => [4,1,1,3,1,1,1]
100101001111 => [1,2,1,1,1,2,4] => [4,2,1,1,1,2,1]
101001001111 => [1,1,1,2,1,2,4] => [4,2,1,2,1,1,1]
101011001111 => [1,1,1,1,2,2,4] => [4,2,2,1,1,1,1]
101010001111 => [1,1,1,1,1,3,4] => [4,3,1,1,1,1,1]
100110101010 => [1,2,2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,2,2,1]
101001101010 => [1,1,1,2,2,1,1,1,1,1] => [1,1,1,1,1,2,2,1,1,1]
100101101010 => [1,2,1,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,1,2,1]
101010011010 => [1,1,1,1,1,2,2,1,1,1] => [1,1,1,2,2,1,1,1,1,1]
100110011010 => [1,2,2,2,2,1,1,1] => [1,1,1,2,2,2,2,1]
101001011010 => [1,1,1,2,1,1,2,1,1,1] => [1,1,1,2,1,1,2,1,1,1]
100101011010 => [1,2,1,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,1,2,1]
101010100110 => [1,1,1,1,1,1,1,2,2,1] => [1,2,2,1,1,1,1,1,1,1]
100110100110 => [1,2,2,1,1,2,2,1] => [1,2,2,1,1,2,2,1]
101001100110 => [1,1,1,2,2,2,2,1] => [1,2,2,2,2,1,1,1]
100101100110 => [1,2,1,1,2,2,2,1] => [1,2,2,2,1,1,2,1]
101010010110 => [1,1,1,1,1,2,1,1,2,1] => [1,2,1,1,2,1,1,1,1,1]
100110010110 => [1,2,2,2,1,1,2,1] => [1,2,1,1,2,2,2,1]
101001010110 => [1,1,1,2,1,1,1,1,2,1] => [1,2,1,1,1,1,2,1,1,1]
100011101001 => [1,3,3,1,1,2,1] => [1,2,1,1,3,3,1]
100100110101 => [1,2,1,2,2,1,1,1,1] => [1,1,1,1,2,2,1,2,1]
100001110101 => [1,4,3,1,1,1,1] => [1,1,1,1,3,4,1]
101010001101 => [1,1,1,1,1,3,2,1,1] => [1,1,2,3,1,1,1,1,1]
100101001101 => [1,2,1,1,1,2,2,1,1] => [1,1,2,2,1,1,1,2,1]
101000101101 => [1,1,1,3,1,1,2,1,1] => [1,1,2,1,1,3,1,1,1]
100100101101 => [1,2,1,2,1,1,2,1,1] => [1,1,2,1,1,2,1,2,1]
100100011101 => [1,2,1,3,3,1,1] => [1,1,3,3,1,2,1]
100001011101 => [1,4,1,1,3,1,1] => [1,1,3,1,1,4,1]
100011100011 => [1,3,3,3,2] => [2,3,3,3,1]
101010010011 => [1,1,1,1,1,2,1,2,2] => [2,2,1,2,1,1,1,1,1]
100001110011 => [1,4,3,2,2] => [2,2,3,4,1]
101010001011 => [1,1,1,1,1,3,1,1,2] => [2,1,1,3,1,1,1,1,1]
100110001011 => [1,2,2,3,1,1,2] => [2,1,1,3,2,2,1]
101000101011 => [1,1,1,3,1,1,1,1,2] => [2,1,1,1,1,3,1,1,1]
100100101011 => [1,2,1,2,1,1,1,1,2] => [2,1,1,1,1,2,1,2,1]
100010011011 => [1,3,1,2,2,1,2] => [2,1,2,2,1,3,1]
100000111011 => [1,5,3,1,2] => [2,1,3,5,1]
101000001111 => [1,1,1,5,4] => [4,5,1,1,1]
100100001111 => [1,2,1,4,4] => [4,4,1,2,1]
100010001111 => [1,3,1,3,4] => [4,3,1,3,1]
100000101111 => [1,5,1,1,4] => [4,1,1,5,1]
01101101010 => [1,2,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,2,1]
01101011010 => [1,2,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,2,1]
01101010110 => [1,2,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,2,1]
01101010101 => [1,2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,2,1]
0000001100 => [6,2,2] => [2,2,6]
0000011001 => [5,2,2,1] => [1,2,2,5]
0000110011 => [4,2,2,2] => [2,2,2,4]
0011001111 => [2,2,2,4] => [4,2,2,2]
0110011111 => [1,2,2,5] => [5,2,2,1]
0000110100 => [4,2,1,1,2] => [2,1,1,2,4]
0000000011 => [8,2] => [2,8]
0000011011 => [5,2,1,2] => [2,1,2,5]
0001101111 => [3,2,1,4] => [4,1,2,3]
0011011111 => [2,2,1,5] => [5,1,2,2]
00000000011 => [9,2] => [2,9]
0000110101 => [4,2,1,1,1,1] => [1,1,1,1,2,4]
0011010111 => [2,2,1,1,1,3] => [3,1,1,1,2,2]
0111001011 => [1,3,2,1,1,2] => [2,1,1,2,3,1]
0111110111 => [1,5,1,3] => [3,1,5,1]
11000000000 => [2,9] => [9,2]
0110001011 => [1,2,3,1,1,2] => [2,1,1,3,2,1]
0110000111 => [1,2,4,3] => [3,4,2,1]
110000111001 => [2,4,3,2,1] => [1,2,3,4,2]
110000110101 => [2,4,2,1,1,1,1] => [1,1,1,1,2,4,2]
110010001101 => [2,2,1,3,2,1,1] => [1,1,2,3,1,2,2]
110100001101 => [2,1,1,4,2,1,1] => [1,1,2,4,1,1,2]
110000101101 => [2,4,1,1,2,1,1] => [1,1,2,1,1,4,2]
110000011101 => [2,5,3,1,1] => [1,1,3,5,2]
011100100011 => [1,3,2,1,3,2] => [2,3,1,2,3,1]
011010010011 => [1,2,1,1,2,1,2,2] => [2,2,1,2,1,1,2,1]
011100010011 => [1,3,3,1,2,2] => [2,2,1,3,3,1]
011000110011 => [1,2,3,2,2,2] => [2,2,2,3,2,1]
010110001011 => [1,1,1,2,3,1,1,2] => [2,1,1,3,2,1,1,1]
011010001011 => [1,2,1,1,3,1,1,2] => [2,1,1,3,1,1,2,1]
011100001011 => [1,3,4,1,1,2] => [2,1,1,4,3,1]
011000101011 => [1,2,3,1,1,1,1,2] => [2,1,1,1,1,3,2,1]
011000011011 => [1,2,4,2,1,2] => [2,1,2,4,2,1]
101110000011 => [1,1,3,5,2] => [2,5,3,1,1]
110100100011 => [2,1,1,2,1,3,2] => [2,3,1,2,1,1,2]
111000100011 => [3,3,1,3,2] => [2,3,1,3,3]
110010010011 => [2,2,1,2,1,2,2] => [2,2,1,2,1,2,2]
110100010011 => [2,1,1,3,1,2,2] => [2,2,1,3,1,1,2]
111000010011 => [3,4,1,2,2] => [2,2,1,4,3]
110000110011 => [2,4,2,2,2] => [2,2,2,4,2]
101100001011 => [1,1,2,4,1,1,2] => [2,1,1,4,2,1,1]
110010001011 => [2,2,1,3,1,1,2] => [2,1,1,3,1,2,2]
110100001011 => [2,1,1,4,1,1,2] => [2,1,1,4,1,1,2]
111000001011 => [3,5,1,1,2] => [2,1,1,5,3]
110000101011 => [2,4,1,1,1,1,2] => [2,1,1,1,1,4,2]
110000011011 => [2,5,2,1,2] => [2,1,2,5,2]
001110000111 => [2,3,4,3] => [3,4,3,2]
010110000111 => [1,1,1,2,4,3] => [3,4,2,1,1,1]
011010000111 => [1,2,1,1,4,3] => [3,4,1,1,2,1]
011000100111 => [1,2,3,1,2,3] => [3,2,1,3,2,1]
011000010111 => [1,2,4,1,1,3] => [3,1,1,4,2,1]
110010000111 => [2,2,1,4,3] => [3,4,1,2,2]
110000100111 => [2,4,1,2,3] => [3,2,1,4,2]
110000010111 => [2,5,1,1,3] => [3,1,1,5,2]
011000001111 => [1,2,5,4] => [4,5,2,1]
0011011010 => [2,2,1,2,1,1,1] => [1,1,1,2,1,2,2]
0011010110 => [2,2,1,1,1,2,1] => [1,2,1,1,1,2,2]
0100110110 => [1,1,2,2,1,2,1] => [1,2,1,2,2,1,1]
0110001110 => [1,2,3,3,1] => [1,3,3,2,1]
0101001110 => [1,1,1,1,2,3,1] => [1,3,2,1,1,1,1]
0011001110 => [2,2,2,3,1] => [1,3,2,2,2]
0100101110 => [1,1,2,1,1,3,1] => [1,3,1,1,2,1,1]
0100011110 => [1,1,3,4,1] => [1,4,3,1,1]
0010011110 => [2,1,2,4,1] => [1,4,2,1,2]
001110011010 => [2,3,2,2,1,1,1] => [1,1,1,2,2,3,2]
011000111010 => [1,2,3,3,1,1,1] => [1,1,1,3,3,2,1]
001100111010 => [2,2,2,3,1,1,1] => [1,1,1,3,2,2,2]
000110111010 => [3,2,1,3,1,1,1] => [1,1,1,3,1,2,3]
001110100110 => [2,3,1,1,2,2,1] => [1,2,2,1,1,3,2]
001110010110 => [2,3,2,1,1,2,1] => [1,2,1,1,2,3,2]
010011010110 => [1,1,2,2,1,1,1,2,1] => [1,2,1,1,1,2,2,1,1]
011000110110 => [1,2,3,2,1,2,1] => [1,2,1,2,3,2,1]
010100110110 => [1,1,1,1,2,2,1,2,1] => [1,2,1,2,2,1,1,1,1]
001100110110 => [2,2,2,2,1,2,1] => [1,2,1,2,2,2,2]
010010110110 => [1,1,2,1,1,2,1,2,1] => [1,2,1,2,1,1,2,1,1]
000110110110 => [3,2,1,2,1,2,1] => [1,2,1,2,1,2,3]
001110001110 => [2,3,3,3,1] => [1,3,3,3,2]
001100011110 => [2,2,3,4,1] => [1,4,3,2,2]
0101000000 => [1,1,1,1,6] => [6,1,1,1,1]
0001010000 => [3,1,1,1,4] => [4,1,1,1,3]
0100010000 => [1,1,3,1,4] => [4,1,3,1,1]
0001000100 => [3,1,3,1,2] => [2,1,3,1,3]
0111011100 => [1,3,1,3,2] => [2,3,1,3,1]
0101000101 => [1,1,1,1,3,1,1,1] => [1,1,1,3,1,1,1,1]
0001010101 => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,3]
0100010101 => [1,1,3,1,1,1,1,1] => [1,1,1,1,1,3,1,1]
0110110101 => [1,2,1,2,1,1,1,1] => [1,1,1,1,2,1,2,1]
0101010001 => [1,1,1,1,1,1,3,1] => [1,3,1,1,1,1,1,1]
0100101001 => [1,1,2,1,1,1,2,1] => [1,2,1,1,1,2,1,1]
0110001001 => [1,2,3,1,2,1] => [1,2,1,3,2,1]
0101011011 => [1,1,1,1,1,2,1,2] => [2,1,2,1,1,1,1,1]
0001001011 => [3,1,2,1,1,2] => [2,1,1,2,1,3]
0110101011 => [1,2,1,1,1,1,1,2] => [2,1,1,1,1,1,2,1]
0001100011 => [3,2,3,2] => [2,3,2,3]
0110000011 => [1,2,5,2] => [2,5,2,1]
0001110111 => [3,3,1,3] => [3,1,3,3]
0111101111 => [1,4,1,4] => [4,1,4,1]
000110100100 => [3,2,1,1,2,1,2] => [2,1,2,1,1,2,3]
000100101100 => [3,1,2,1,1,2,2] => [2,2,1,1,2,1,3]
000110001100 => [3,2,3,2,2] => [2,2,3,2,3]
010011011001 => [1,1,2,2,1,2,2,1] => [1,2,2,1,2,2,1,1]
011011011011 => [1,2,1,2,1,2,1,2] => [2,1,2,1,2,1,2,1]
000001100011 => [5,2,3,2] => [2,3,2,5]
000110000011 => [3,2,5,2] => [2,5,2,3]
011001010011 => [1,2,2,1,1,1,2,2] => [2,2,1,1,1,2,2,1]
011110001111 => [1,4,3,4] => [4,3,4,1]
01111100000 => [1,5,5] => [5,5,1]
01111110000 => [1,6,4] => [4,6,1]
101101010101 => [1,1,2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,2,1,1]
101011010101 => [1,1,1,1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1,1,1,1]
100111010101 => [1,2,3,1,1,1,1,1,1] => [1,1,1,1,1,1,3,2,1]
101100110101 => [1,1,2,2,2,1,1,1,1] => [1,1,1,1,2,2,2,1,1]
110010110101 => [2,2,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,2,2]
101010110101 => [1,1,1,1,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,1,1,1,1]
100110110101 => [1,2,2,1,2,1,1,1,1] => [1,1,1,1,2,1,2,2,1]
101001110101 => [1,1,1,2,3,1,1,1,1] => [1,1,1,1,3,2,1,1,1]
100101110101 => [1,2,1,1,3,1,1,1,1] => [1,1,1,1,3,1,1,2,1]
100011110101 => [1,3,4,1,1,1,1] => [1,1,1,1,4,3,1]
101101001101 => [1,1,2,1,1,2,2,1,1] => [1,1,2,2,1,1,2,1,1]
101011001101 => [1,1,1,1,2,2,2,1,1] => [1,1,2,2,2,1,1,1,1]
100111001101 => [1,2,3,2,2,1,1] => [1,1,2,2,3,2,1]
110100101101 => [2,1,1,2,1,1,2,1,1] => [1,1,2,1,1,2,1,1,2]
101100101101 => [1,1,2,2,1,1,2,1,1] => [1,1,2,1,1,2,2,1,1]
110010101101 => [2,2,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,2,2]
101010101101 => [1,1,1,1,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,1,1,1,1]
100110101101 => [1,2,2,1,1,1,2,1,1] => [1,1,2,1,1,1,2,2,1]
110001101101 => [2,3,2,1,2,1,1] => [1,1,2,1,2,3,2]
101001101101 => [1,1,1,2,2,1,2,1,1] => [1,1,2,1,2,2,1,1,1]
100101101101 => [1,2,1,1,2,1,2,1,1] => [1,1,2,1,2,1,1,2,1]
100011101101 => [1,3,3,1,2,1,1] => [1,1,2,1,3,3,1]
101100011101 => [1,1,2,3,3,1,1] => [1,1,3,3,2,1,1]
110010011101 => [2,2,1,2,3,1,1] => [1,1,3,2,1,2,2]
101010011101 => [1,1,1,1,1,2,3,1,1] => [1,1,3,2,1,1,1,1,1]
100110011101 => [1,2,2,2,3,1,1] => [1,1,3,2,2,2,1]
110001011101 => [2,3,1,1,3,1,1] => [1,1,3,1,1,3,2]
101001011101 => [1,1,1,2,1,1,3,1,1] => [1,1,3,1,1,2,1,1,1]
100101011101 => [1,2,1,1,1,1,3,1,1] => [1,1,3,1,1,1,1,2,1]
100011011101 => [1,3,2,1,3,1,1] => [1,1,3,1,2,3,1]
101000111101 => [1,1,1,3,4,1,1] => [1,1,4,3,1,1,1]
100100111101 => [1,2,1,2,4,1,1] => [1,1,4,2,1,2,1]
100010111101 => [1,3,1,1,4,1,1] => [1,1,4,1,1,3,1]
100001111101 => [1,4,5,1,1] => [1,1,5,4,1]
101101010011 => [1,1,2,1,1,1,1,2,2] => [2,2,1,1,1,1,2,1,1]
101011010011 => [1,1,1,1,2,1,1,2,2] => [2,2,1,1,2,1,1,1,1]
100111010011 => [1,2,3,1,1,2,2] => [2,2,1,1,3,2,1]
110010110011 => [2,2,1,1,2,2,2] => [2,2,2,1,1,2,2]
101010110011 => [1,1,1,1,1,1,2,2,2] => [2,2,2,1,1,1,1,1,1]
100011110011 => [1,3,4,2,2] => [2,2,4,3,1]
110101001011 => [2,1,1,1,1,2,1,1,2] => [2,1,1,2,1,1,1,1,2]
101101001011 => [1,1,2,1,1,2,1,1,2] => [2,1,1,2,1,1,2,1,1]
110011001011 => [2,2,2,2,1,1,2] => [2,1,1,2,2,2,2]
101011001011 => [1,1,1,1,2,2,1,1,2] => [2,1,1,2,2,1,1,1,1]
100111001011 => [1,2,3,2,1,1,2] => [2,1,1,2,3,2,1]
110100101011 => [2,1,1,2,1,1,1,1,2] => [2,1,1,1,1,2,1,1,2]
101100101011 => [1,1,2,2,1,1,1,1,2] => [2,1,1,1,1,2,2,1,1]
110010101011 => [2,2,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,2,2]
101010101011 => [1,1,1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1,1,1]
100110101011 => [1,2,2,1,1,1,1,1,2] => [2,1,1,1,1,1,2,2,1]
110001101011 => [2,3,2,1,1,1,2] => [2,1,1,1,2,3,2]
101001101011 => [1,1,1,2,2,1,1,1,2] => [2,1,1,1,2,2,1,1,1]
100101101011 => [1,2,1,1,2,1,1,1,2] => [2,1,1,1,2,1,1,2,1]
100011101011 => [1,3,3,1,1,1,2] => [2,1,1,1,3,3,1]
110100011011 => [2,1,1,3,2,1,2] => [2,1,2,3,1,1,2]
110010011011 => [2,2,1,2,2,1,2] => [2,1,2,2,1,2,2]
101010011011 => [1,1,1,1,1,2,2,1,2] => [2,1,2,2,1,1,1,1,1]
110001011011 => [2,3,1,1,2,1,2] => [2,1,2,1,1,3,2]
101001011011 => [1,1,1,2,1,1,2,1,2] => [2,1,2,1,1,2,1,1,1]
100101011011 => [1,2,1,1,1,1,2,1,2] => [2,1,2,1,1,1,1,2,1]
100011011011 => [1,3,2,1,2,1,2] => [2,1,2,1,2,3,1]
110000111011 => [2,4,3,1,2] => [2,1,3,4,2]
100010111011 => [1,3,1,1,3,1,2] => [2,1,3,1,1,3,1]
100001111011 => [1,4,4,1,2] => [2,1,4,4,1]
100111000111 => [1,2,3,3,3] => [3,3,3,2,1]
110100100111 => [2,1,1,2,1,2,3] => [3,2,1,2,1,1,2]
110010100111 => [2,2,1,1,1,2,3] => [3,2,1,1,1,2,2]
101010100111 => [1,1,1,1,1,1,1,2,3] => [3,2,1,1,1,1,1,1,1]
110001100111 => [2,3,2,2,3] => [3,2,2,3,2]
100011100111 => [1,3,3,2,3] => [3,2,3,3,1]
110100010111 => [2,1,1,3,1,1,3] => [3,1,1,3,1,1,2]
110010010111 => [2,2,1,2,1,1,3] => [3,1,1,2,1,2,2]
101010010111 => [1,1,1,1,1,2,1,1,3] => [3,1,1,2,1,1,1,1,1]
110001010111 => [2,3,1,1,1,1,3] => [3,1,1,1,1,3,2]
101001010111 => [1,1,1,2,1,1,1,1,3] => [3,1,1,1,1,2,1,1,1]
100101010111 => [1,2,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,2,1]
100011010111 => [1,3,2,1,1,1,3] => [3,1,1,1,2,3,1]
110000110111 => [2,4,2,1,3] => [3,1,2,4,2]
100010110111 => [1,3,1,1,2,1,3] => [3,1,2,1,1,3,1]
100001110111 => [1,4,3,1,3] => [3,1,3,4,1]
101100001111 => [1,1,2,4,4] => [4,4,2,1,1]
110010001111 => [2,2,1,3,4] => [4,3,1,2,2]
100110001111 => [1,2,2,3,4] => [4,3,2,2,1]
110001001111 => [2,3,1,2,4] => [4,2,1,3,2]
100011001111 => [1,3,2,2,4] => [4,2,2,3,1]
110000101111 => [2,4,1,1,4] => [4,1,1,4,2]
100010101111 => [1,3,1,1,1,1,4] => [4,1,1,1,1,3,1]
100001101111 => [1,4,2,1,4] => [4,1,2,4,1]
101000011111 => [1,1,1,4,5] => [5,4,1,1,1]
100100011111 => [1,2,1,3,5] => [5,3,1,2,1]
100010011111 => [1,3,1,2,5] => [5,2,1,3,1]
100001011111 => [1,4,1,1,5] => [5,1,1,4,1]
100000111111 => [1,5,6] => [6,5,1]
0000000111 => [7,3] => [3,7]
0000001111 => [6,4] => [4,6]
0001111111 => [3,7] => [7,3]
0011111111 => [2,8] => [8,2]
0000001011 => [6,1,1,2] => [2,1,1,6]
0000010111 => [5,1,1,3] => [3,1,1,5]
0001011111 => [3,1,1,5] => [5,1,1,3]
0010111111 => [2,1,1,6] => [6,1,1,2]
00111111111 => [2,9] => [9,2]
10111111111 => [1,1,9] => [9,1,1]
0011011110 => [2,2,1,4,1] => [1,4,1,2,2]
0011101110 => [2,3,1,3,1] => [1,3,1,3,2]
0011110110 => [2,4,1,2,1] => [1,2,1,4,2]
0011111010 => [2,5,1,1,1] => [1,1,1,5,2]
0011111100 => [2,6,2] => [2,6,2]
000111100011 => [3,4,3,2] => [2,3,4,3]
001011011001 => [2,1,1,2,1,2,2,1] => [1,2,2,1,2,1,1,2]
001101100011 => [2,2,1,2,3,2] => [2,3,2,1,2,2]
0010010101 => [2,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,2]
0101010111 => [1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1]
11010101001 => [2,1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1,2]
0101110101 => [1,1,1,3,1,1,1,1] => [1,1,1,1,3,1,1,1]
100111011101 => [1,2,3,1,3,1,1] => [1,1,3,1,3,2,1]
100111110101 => [1,2,5,1,1,1,1] => [1,1,1,1,5,2,1]
100000010101 => [1,6,1,1,1,1,1] => [1,1,1,1,1,6,1]
111101101001 => [4,1,2,1,1,2,1] => [1,2,1,1,2,1,4]
111100101101 => [4,2,1,1,2,1,1] => [1,1,2,1,1,2,4]
110110110110 => [2,1,2,1,2,1,2,1] => [1,2,1,2,1,2,1,2]
110001100000 => [2,3,2,5] => [5,2,3,2]
110000011000 => [2,5,2,3] => [3,2,5,2]
111101100110 => [4,1,2,2,2,1] => [1,2,2,2,1,4]
111100011110 => [4,3,4,1] => [1,4,3,4]
110011000110 => [2,2,2,3,2,1] => [1,2,3,2,2,2]
110001101100 => [2,3,2,1,2,2] => [2,2,1,2,3,2]
110001100110 => [2,3,2,2,2,1] => [1,2,2,2,3,2]
111101101100 => [4,1,2,1,2,2] => [2,2,1,2,1,4]
111100110110 => [4,2,2,1,2,1] => [1,2,1,2,2,4]
111100000110 => [4,5,2,1] => [1,2,5,4]
010011100011 => [1,1,2,3,3,2] => [2,3,3,2,1,1]
011001100011 => [1,2,2,2,3,2] => [2,3,2,2,2,1]
110001100011 => [2,3,2,3,2] => [2,3,2,3,2]
0110001111 => [1,2,3,4] => [4,3,2,1]
0101101011 => [1,1,1,2,1,1,1,2] => [2,1,1,1,2,1,1,1]
0101011101 => [1,1,1,1,1,3,1,1] => [1,1,3,1,1,1,1,1]
0011000011 => [2,2,4,2] => [2,4,2,2]
0011011011 => [2,2,1,2,1,2] => [2,1,2,1,2,2]
0001111011 => [3,4,1,2] => [2,1,4,3]
111111110011 => [8,2,2] => [2,2,8]
111111001111 => [6,2,4] => [4,2,6]
111111000011 => [6,4,2] => [2,4,6]
111100111111 => [4,2,6] => [6,2,4]
111100110011 => [4,2,2,2,2] => [2,2,2,2,4]
111100001111 => [4,4,4] => [4,4,4]
110011111111 => [2,2,8] => [8,2,2]
110011110011 => [2,2,4,2,2] => [2,2,4,2,2]
110011001111 => [2,2,2,2,4] => [4,2,2,2,2]
110011011011 => [2,2,2,1,2,1,2] => [2,1,2,1,2,2,2]
110000111111 => [2,4,6] => [6,4,2]
110000000011 => [2,8,2] => [2,8,2]
110110110011 => [2,1,2,1,2,2,2] => [2,2,2,1,2,1,2]
110110011011 => [2,1,2,2,2,1,2] => [2,1,2,2,2,1,2]
110100111011 => [2,1,1,2,3,1,2] => [2,1,3,2,1,1,2]
001111111111 => [2,10] => [10,2]
001111110011 => [2,6,2,2] => [2,2,6,2]
001111001111 => [2,4,2,4] => [4,2,4,2]
001100111111 => [2,2,2,6] => [6,2,2,2]
001100000011 => [2,2,6,2] => [2,6,2,2]
000011111111 => [4,8] => [8,4]
000011000011 => [4,2,4,2] => [2,4,2,4]
000000110011 => [6,2,2,2] => [2,2,2,6]
000000001111 => [8,4] => [4,8]
000000000011 => [10,2] => [2,10]
111111111100 => [10,2] => [2,10]
111111110000 => [8,4] => [4,8]
111111001100 => [6,2,2,2] => [2,2,2,6]
111100111100 => [4,2,4,2] => [2,4,2,4]
111100000000 => [4,8] => [8,4]
110011111100 => [2,2,6,2] => [2,6,2,2]
110011000000 => [2,2,2,6] => [6,2,2,2]
110000110000 => [2,4,2,4] => [4,2,4,2]
110000001100 => [2,6,2,2] => [2,2,6,2]
110000000000 => [2,10] => [10,2]
110100100110 => [2,1,1,2,1,2,2,1] => [1,2,2,1,2,1,1,2]
0011011101 => [2,2,1,3,1,1] => [1,1,3,1,2,2]
0111011111 => [1,3,1,5] => [5,1,3,1]
111100111001 => [4,2,3,2,1] => [1,2,3,2,4]
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.
Map
reverse
Description
Return the reversal of a composition.
That is, the composition (i1,i2,…,ik) is sent to (ik,ik−1,…,i1).
That is, the composition (i1,i2,…,ik) is sent to (ik,ik−1,…,i1).
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