Identifier
Values
0 => 0 => [2] => [1,1] => 1
1 => 1 => [1,1] => [2] => 2
00 => 01 => [2,1] => [2,1] => 1
01 => 10 => [1,2] => [1,2] => 2
10 => 00 => [3] => [1,1,1] => 1
11 => 11 => [1,1,1] => [3] => 3
000 => 011 => [2,1,1] => [3,1] => 1
001 => 101 => [1,2,1] => [2,2] => 2
010 => 000 => [4] => [1,1,1,1] => 1
011 => 110 => [1,1,2] => [1,3] => 3
100 => 010 => [2,2] => [1,2,1] => 1
101 => 100 => [1,3] => [1,1,2] => 2
110 => 001 => [3,1] => [2,1,1] => 1
111 => 111 => [1,1,1,1] => [4] => 4
0000 => 0111 => [2,1,1,1] => [4,1] => 1
0001 => 1011 => [1,2,1,1] => [3,2] => 2
0010 => 0001 => [4,1] => [2,1,1,1] => 1
0011 => 1101 => [1,1,2,1] => [2,3] => 3
0100 => 0100 => [2,3] => [1,1,2,1] => 1
0101 => 1000 => [1,4] => [1,1,1,2] => 2
0110 => 0010 => [3,2] => [1,2,1,1] => 1
0111 => 1110 => [1,1,1,2] => [1,4] => 4
1000 => 0110 => [2,1,2] => [1,3,1] => 1
1001 => 1010 => [1,2,2] => [1,2,2] => 2
1010 => 0000 => [5] => [1,1,1,1,1] => 1
1011 => 1100 => [1,1,3] => [1,1,3] => 3
1100 => 0101 => [2,2,1] => [2,2,1] => 1
1101 => 1001 => [1,3,1] => [2,1,2] => 2
1110 => 0011 => [3,1,1] => [3,1,1] => 1
1111 => 1111 => [1,1,1,1,1] => [5] => 5
00000 => 01111 => [2,1,1,1,1] => [5,1] => 1
00001 => 10111 => [1,2,1,1,1] => [4,2] => 2
00010 => 00011 => [4,1,1] => [3,1,1,1] => 1
00011 => 11011 => [1,1,2,1,1] => [3,3] => 3
00100 => 01001 => [2,3,1] => [2,1,2,1] => 1
00101 => 10001 => [1,4,1] => [2,1,1,2] => 2
00110 => 00101 => [3,2,1] => [2,2,1,1] => 1
00111 => 11101 => [1,1,1,2,1] => [2,4] => 4
01000 => 01100 => [2,1,3] => [1,1,3,1] => 1
01001 => 10100 => [1,2,3] => [1,1,2,2] => 2
01010 => 00000 => [6] => [1,1,1,1,1,1] => 1
01011 => 11000 => [1,1,4] => [1,1,1,3] => 3
01100 => 01010 => [2,2,2] => [1,2,2,1] => 1
01101 => 10010 => [1,3,2] => [1,2,1,2] => 2
01110 => 00110 => [3,1,2] => [1,3,1,1] => 1
01111 => 11110 => [1,1,1,1,2] => [1,5] => 5
10000 => 01110 => [2,1,1,2] => [1,4,1] => 1
10001 => 10110 => [1,2,1,2] => [1,3,2] => 2
10010 => 00010 => [4,2] => [1,2,1,1,1] => 1
10011 => 11010 => [1,1,2,2] => [1,2,3] => 3
10100 => 01000 => [2,4] => [1,1,1,2,1] => 1
10101 => 10000 => [1,5] => [1,1,1,1,2] => 2
10110 => 00100 => [3,3] => [1,1,2,1,1] => 1
10111 => 11100 => [1,1,1,3] => [1,1,4] => 4
11000 => 01101 => [2,1,2,1] => [2,3,1] => 1
11001 => 10101 => [1,2,2,1] => [2,2,2] => 2
11010 => 00001 => [5,1] => [2,1,1,1,1] => 1
11011 => 11001 => [1,1,3,1] => [2,1,3] => 3
11100 => 01011 => [2,2,1,1] => [3,2,1] => 1
11101 => 10011 => [1,3,1,1] => [3,1,2] => 2
11110 => 00111 => [3,1,1,1] => [4,1,1] => 1
11111 => 11111 => [1,1,1,1,1,1] => [6] => 6
000000 => 011111 => [2,1,1,1,1,1] => [6,1] => 1
000001 => 101111 => [1,2,1,1,1,1] => [5,2] => 2
000010 => 000111 => [4,1,1,1] => [4,1,1,1] => 1
000011 => 110111 => [1,1,2,1,1,1] => [4,3] => 3
000100 => 010011 => [2,3,1,1] => [3,1,2,1] => 1
000101 => 100011 => [1,4,1,1] => [3,1,1,2] => 2
000110 => 001011 => [3,2,1,1] => [3,2,1,1] => 1
000111 => 111011 => [1,1,1,2,1,1] => [3,4] => 4
001000 => 011001 => [2,1,3,1] => [2,1,3,1] => 1
001001 => 101001 => [1,2,3,1] => [2,1,2,2] => 2
001010 => 000001 => [6,1] => [2,1,1,1,1,1] => 1
001011 => 110001 => [1,1,4,1] => [2,1,1,3] => 3
001100 => 010101 => [2,2,2,1] => [2,2,2,1] => 1
001101 => 100101 => [1,3,2,1] => [2,2,1,2] => 2
001110 => 001101 => [3,1,2,1] => [2,3,1,1] => 1
001111 => 111101 => [1,1,1,1,2,1] => [2,5] => 5
010000 => 011100 => [2,1,1,3] => [1,1,4,1] => 1
010001 => 101100 => [1,2,1,3] => [1,1,3,2] => 2
010010 => 000100 => [4,3] => [1,1,2,1,1,1] => 1
010011 => 110100 => [1,1,2,3] => [1,1,2,3] => 3
010100 => 010000 => [2,5] => [1,1,1,1,2,1] => 1
010101 => 100000 => [1,6] => [1,1,1,1,1,2] => 2
010110 => 001000 => [3,4] => [1,1,1,2,1,1] => 1
010111 => 111000 => [1,1,1,4] => [1,1,1,4] => 4
011000 => 011010 => [2,1,2,2] => [1,2,3,1] => 1
011001 => 101010 => [1,2,2,2] => [1,2,2,2] => 2
011010 => 000010 => [5,2] => [1,2,1,1,1,1] => 1
011011 => 110010 => [1,1,3,2] => [1,2,1,3] => 3
011100 => 010110 => [2,2,1,2] => [1,3,2,1] => 1
011101 => 100110 => [1,3,1,2] => [1,3,1,2] => 2
011110 => 001110 => [3,1,1,2] => [1,4,1,1] => 1
011111 => 111110 => [1,1,1,1,1,2] => [1,6] => 6
100000 => 011110 => [2,1,1,1,2] => [1,5,1] => 1
100001 => 101110 => [1,2,1,1,2] => [1,4,2] => 2
100010 => 000110 => [4,1,2] => [1,3,1,1,1] => 1
100011 => 110110 => [1,1,2,1,2] => [1,3,3] => 3
100100 => 010010 => [2,3,2] => [1,2,1,2,1] => 1
100101 => 100010 => [1,4,2] => [1,2,1,1,2] => 2
100110 => 001010 => [3,2,2] => [1,2,2,1,1] => 1
>>> Load all 312 entries. <<<
100111 => 111010 => [1,1,1,2,2] => [1,2,4] => 4
101000 => 011000 => [2,1,4] => [1,1,1,3,1] => 1
101001 => 101000 => [1,2,4] => [1,1,1,2,2] => 2
101010 => 000000 => [7] => [1,1,1,1,1,1,1] => 1
101011 => 110000 => [1,1,5] => [1,1,1,1,3] => 3
101100 => 010100 => [2,2,3] => [1,1,2,2,1] => 1
101101 => 100100 => [1,3,3] => [1,1,2,1,2] => 2
101110 => 001100 => [3,1,3] => [1,1,3,1,1] => 1
101111 => 111100 => [1,1,1,1,3] => [1,1,5] => 5
110000 => 011101 => [2,1,1,2,1] => [2,4,1] => 1
110001 => 101101 => [1,2,1,2,1] => [2,3,2] => 2
110010 => 000101 => [4,2,1] => [2,2,1,1,1] => 1
110011 => 110101 => [1,1,2,2,1] => [2,2,3] => 3
110100 => 010001 => [2,4,1] => [2,1,1,2,1] => 1
110101 => 100001 => [1,5,1] => [2,1,1,1,2] => 2
110110 => 001001 => [3,3,1] => [2,1,2,1,1] => 1
110111 => 111001 => [1,1,1,3,1] => [2,1,4] => 4
111000 => 011011 => [2,1,2,1,1] => [3,3,1] => 1
111001 => 101011 => [1,2,2,1,1] => [3,2,2] => 2
111010 => 000011 => [5,1,1] => [3,1,1,1,1] => 1
111011 => 110011 => [1,1,3,1,1] => [3,1,3] => 3
111100 => 010111 => [2,2,1,1,1] => [4,2,1] => 1
111101 => 100111 => [1,3,1,1,1] => [4,1,2] => 2
111110 => 001111 => [3,1,1,1,1] => [5,1,1] => 1
111111 => 111111 => [1,1,1,1,1,1,1] => [7] => 7
0000000 => 0111111 => [2,1,1,1,1,1,1] => [7,1] => 1
0000010 => 0001111 => [4,1,1,1,1] => [5,1,1,1] => 1
0000100 => 0100111 => [2,3,1,1,1] => [4,1,2,1] => 1
0000111 => 1110111 => [1,1,1,2,1,1,1] => [4,4] => 4
0001000 => 0110011 => [2,1,3,1,1] => [3,1,3,1] => 1
0001001 => 1010011 => [1,2,3,1,1] => [3,1,2,2] => 2
0001011 => 1100011 => [1,1,4,1,1] => [3,1,1,3] => 3
0001100 => 0101011 => [2,2,2,1,1] => [3,2,2,1] => 1
0001101 => 1001011 => [1,3,2,1,1] => [3,2,1,2] => 2
0001110 => 0011011 => [3,1,2,1,1] => [3,3,1,1] => 1
0010000 => 0111001 => [2,1,1,3,1] => [2,1,4,1] => 1
0010001 => 1011001 => [1,2,1,3,1] => [2,1,3,2] => 2
0010010 => 0001001 => [4,3,1] => [2,1,2,1,1,1] => 1
0010011 => 1101001 => [1,1,2,3,1] => [2,1,2,3] => 3
0010100 => 0100001 => [2,5,1] => [2,1,1,1,2,1] => 1
0010101 => 1000001 => [1,6,1] => [2,1,1,1,1,2] => 2
0010110 => 0010001 => [3,4,1] => [2,1,1,2,1,1] => 1
0011000 => 0110101 => [2,1,2,2,1] => [2,2,3,1] => 1
0011001 => 1010101 => [1,2,2,2,1] => [2,2,2,2] => 2
0011010 => 0000101 => [5,2,1] => [2,2,1,1,1,1] => 1
0011011 => 1100101 => [1,1,3,2,1] => [2,2,1,3] => 3
0011100 => 0101101 => [2,2,1,2,1] => [2,3,2,1] => 1
0011101 => 1001101 => [1,3,1,2,1] => [2,3,1,2] => 2
0100000 => 0111100 => [2,1,1,1,3] => [1,1,5,1] => 1
0100010 => 0001100 => [4,1,3] => [1,1,3,1,1,1] => 1
0100011 => 1101100 => [1,1,2,1,3] => [1,1,3,3] => 3
0100100 => 0100100 => [2,3,3] => [1,1,2,1,2,1] => 1
0100101 => 1000100 => [1,4,3] => [1,1,2,1,1,2] => 2
0100110 => 0010100 => [3,2,3] => [1,1,2,2,1,1] => 1
0101000 => 0110000 => [2,1,5] => [1,1,1,1,3,1] => 1
0101001 => 1010000 => [1,2,5] => [1,1,1,1,2,2] => 2
0101010 => 0000000 => [8] => [1,1,1,1,1,1,1,1] => 1
0101100 => 0101000 => [2,2,4] => [1,1,1,2,2,1] => 1
0101101 => 1001000 => [1,3,4] => [1,1,1,2,1,2] => 2
0101110 => 0011000 => [3,1,4] => [1,1,1,3,1,1] => 1
0110000 => 0111010 => [2,1,1,2,2] => [1,2,4,1] => 1
0110001 => 1011010 => [1,2,1,2,2] => [1,2,3,2] => 2
0110010 => 0001010 => [4,2,2] => [1,2,2,1,1,1] => 1
0110011 => 1101010 => [1,1,2,2,2] => [1,2,2,3] => 3
0110100 => 0100010 => [2,4,2] => [1,2,1,1,2,1] => 1
0110101 => 1000010 => [1,5,2] => [1,2,1,1,1,2] => 2
0110110 => 0010010 => [3,3,2] => [1,2,1,2,1,1] => 1
0110111 => 1110010 => [1,1,1,3,2] => [1,2,1,4] => 4
0111000 => 0110110 => [2,1,2,1,2] => [1,3,3,1] => 1
0111001 => 1010110 => [1,2,2,1,2] => [1,3,2,2] => 2
0111010 => 0000110 => [5,1,2] => [1,3,1,1,1,1] => 1
0111011 => 1100110 => [1,1,3,1,2] => [1,3,1,3] => 3
0111100 => 0101110 => [2,2,1,1,2] => [1,4,2,1] => 1
0111101 => 1001110 => [1,3,1,1,2] => [1,4,1,2] => 2
0111110 => 0011110 => [3,1,1,1,2] => [1,5,1,1] => 1
0111111 => 1111110 => [1,1,1,1,1,1,2] => [1,7] => 7
1000000 => 0111110 => [2,1,1,1,1,2] => [1,6,1] => 1
1000001 => 1011110 => [1,2,1,1,1,2] => [1,5,2] => 2
1000011 => 1101110 => [1,1,2,1,1,2] => [1,4,3] => 3
1000100 => 0100110 => [2,3,1,2] => [1,3,1,2,1] => 1
1000101 => 1000110 => [1,4,1,2] => [1,3,1,1,2] => 2
1000110 => 0010110 => [3,2,1,2] => [1,3,2,1,1] => 1
1001000 => 0110010 => [2,1,3,2] => [1,2,1,3,1] => 1
1001001 => 1010010 => [1,2,3,2] => [1,2,1,2,2] => 2
1001010 => 0000010 => [6,2] => [1,2,1,1,1,1,1] => 1
1001100 => 0101010 => [2,2,2,2] => [1,2,2,2,1] => 1
1001101 => 1001010 => [1,3,2,2] => [1,2,2,1,2] => 2
1001110 => 0011010 => [3,1,2,2] => [1,2,3,1,1] => 1
1010001 => 1011000 => [1,2,1,4] => [1,1,1,3,2] => 2
1010010 => 0001000 => [4,4] => [1,1,1,2,1,1,1] => 1
1010100 => 0100000 => [2,6] => [1,1,1,1,1,2,1] => 1
1010110 => 0010000 => [3,5] => [1,1,1,1,2,1,1] => 1
1011000 => 0110100 => [2,1,2,3] => [1,1,2,3,1] => 1
1011001 => 1010100 => [1,2,2,3] => [1,1,2,2,2] => 2
1011010 => 0000100 => [5,3] => [1,1,2,1,1,1,1] => 1
1011100 => 0101100 => [2,2,1,3] => [1,1,3,2,1] => 1
1011101 => 1001100 => [1,3,1,3] => [1,1,3,1,2] => 2
1100001 => 1011101 => [1,2,1,1,2,1] => [2,4,2] => 2
1100010 => 0001101 => [4,1,2,1] => [2,3,1,1,1] => 1
1100011 => 1101101 => [1,1,2,1,2,1] => [2,3,3] => 3
1100100 => 0100101 => [2,3,2,1] => [2,2,1,2,1] => 1
1100101 => 1000101 => [1,4,2,1] => [2,2,1,1,2] => 2
1100110 => 0010101 => [3,2,2,1] => [2,2,2,1,1] => 1
1101000 => 0110001 => [2,1,4,1] => [2,1,1,3,1] => 1
1101001 => 1010001 => [1,2,4,1] => [2,1,1,2,2] => 2
1101100 => 0101001 => [2,2,3,1] => [2,1,2,2,1] => 1
1101101 => 1001001 => [1,3,3,1] => [2,1,2,1,2] => 2
1101110 => 0011001 => [3,1,3,1] => [2,1,3,1,1] => 1
1110000 => 0111011 => [2,1,1,2,1,1] => [3,4,1] => 1
1110001 => 1011011 => [1,2,1,2,1,1] => [3,3,2] => 2
1110011 => 1101011 => [1,1,2,2,1,1] => [3,2,3] => 3
1111000 => 0110111 => [2,1,2,1,1,1] => [4,3,1] => 1
1111100 => 0101111 => [2,2,1,1,1,1] => [5,2,1] => 1
1111110 => 0011111 => [3,1,1,1,1,1] => [6,1,1] => 1
00000000 => 01111111 => [2,1,1,1,1,1,1,1] => [8,1] => 1
00010000 => 01110011 => [2,1,1,3,1,1] => [3,1,4,1] => 1
00100000 => 01111001 => [2,1,1,1,3,1] => [2,1,5,1] => 1
00110000 => 01110101 => [2,1,1,2,2,1] => [2,2,4,1] => 1
01000000 => 01111100 => [2,1,1,1,1,3] => [1,1,6,1] => 1
01001000 => 01100100 => [2,1,3,3] => [1,1,2,1,3,1] => 1
01010000 => 01110000 => [2,1,1,5] => [1,1,1,1,4,1] => 1
01011000 => 01101000 => [2,1,2,4] => [1,1,1,2,3,1] => 1
01100000 => 01111010 => [2,1,1,1,2,2] => [1,2,5,1] => 1
01100100 => 01001010 => [2,3,2,2] => [1,2,2,1,2,1] => 1
01101000 => 01100010 => [2,1,4,2] => [1,2,1,1,3,1] => 1
01101100 => 01010010 => [2,2,3,2] => [1,2,1,2,2,1] => 1
01110000 => 01110110 => [2,1,1,2,1,2] => [1,3,4,1] => 1
01110010 => 00010110 => [4,2,1,2] => [1,3,2,1,1,1] => 1
01110100 => 01000110 => [2,4,1,2] => [1,3,1,1,2,1] => 1
01110110 => 00100110 => [3,3,1,2] => [1,3,1,2,1,1] => 1
01111000 => 01101110 => [2,1,2,1,1,2] => [1,4,3,1] => 1
01111001 => 10101110 => [1,2,2,1,1,2] => [1,4,2,2] => 2
01111010 => 00001110 => [5,1,1,2] => [1,4,1,1,1,1] => 1
01111011 => 11001110 => [1,1,3,1,1,2] => [1,4,1,3] => 3
01111100 => 01011110 => [2,2,1,1,1,2] => [1,5,2,1] => 1
01111101 => 10011110 => [1,3,1,1,1,2] => [1,5,1,2] => 2
01111110 => 00111110 => [3,1,1,1,1,2] => [1,6,1,1] => 1
01111111 => 11111110 => [1,1,1,1,1,1,1,2] => [1,8] => 8
10000000 => 01111110 => [2,1,1,1,1,1,2] => [1,7,1] => 1
10000001 => 10111110 => [1,2,1,1,1,1,2] => [1,6,2] => 2
11111100 => 01011111 => [2,2,1,1,1,1,1] => [6,2,1] => 1
11111110 => 00111111 => [3,1,1,1,1,1,1] => [7,1,1] => 1
000000000 => 011111111 => [2,1,1,1,1,1,1,1,1] => [9,1] => 1
000001111 => 111101111 => [1,1,1,1,2,1,1,1,1] => [5,5] => 5
000010111 => 111000111 => [1,1,1,4,1,1,1] => [4,1,1,4] => 4
000011011 => 110010111 => [1,1,3,2,1,1,1] => [4,2,1,3] => 3
000011101 => 100110111 => [1,3,1,2,1,1,1] => [4,3,1,2] => 2
000011110 => 001110111 => [3,1,1,2,1,1,1] => [4,4,1,1] => 1
000100111 => 111010011 => [1,1,1,2,3,1,1] => [3,1,2,4] => 4
000101011 => 110000011 => [1,1,6,1,1] => [3,1,1,1,1,3] => 3
000101101 => 100100011 => [1,3,4,1,1] => [3,1,1,2,1,2] => 2
000101110 => 001100011 => [3,1,4,1,1] => [3,1,1,3,1,1] => 1
000110011 => 110101011 => [1,1,2,2,2,1,1] => [3,2,2,3] => 3
000110101 => 100001011 => [1,5,2,1,1] => [3,2,1,1,1,2] => 2
000110110 => 001001011 => [3,3,2,1,1] => [3,2,1,2,1,1] => 1
000111001 => 101011011 => [1,2,2,1,2,1,1] => [3,3,2,2] => 2
000111010 => 000011011 => [5,1,2,1,1] => [3,3,1,1,1,1] => 1
001000000 => 011111001 => [2,1,1,1,1,3,1] => [2,1,6,1] => 1
001000111 => 111011001 => [1,1,1,2,1,3,1] => [2,1,3,4] => 4
001001011 => 110001001 => [1,1,4,3,1] => [2,1,2,1,1,3] => 3
001001101 => 100101001 => [1,3,2,3,1] => [2,1,2,2,1,2] => 2
001001110 => 001101001 => [3,1,2,3,1] => [2,1,2,3,1,1] => 1
001010011 => 110100001 => [1,1,2,5,1] => [2,1,1,1,2,3] => 3
001010101 => 100000001 => [1,8,1] => [2,1,1,1,1,1,1,2] => 2
001010110 => 001000001 => [3,6,1] => [2,1,1,1,1,2,1,1] => 1
001011001 => 101010001 => [1,2,2,4,1] => [2,1,1,2,2,2] => 2
001011010 => 000010001 => [5,4,1] => [2,1,1,2,1,1,1,1] => 1
001100011 => 110110101 => [1,1,2,1,2,2,1] => [2,2,3,3] => 3
001100101 => 100010101 => [1,4,2,2,1] => [2,2,2,1,1,2] => 2
001100110 => 001010101 => [3,2,2,2,1] => [2,2,2,2,1,1] => 1
001101001 => 101000101 => [1,2,4,2,1] => [2,2,1,1,2,2] => 2
001101010 => 000000101 => [7,2,1] => [2,2,1,1,1,1,1,1] => 1
010000000 => 011111100 => [2,1,1,1,1,1,3] => [1,1,7,1] => 1
010000111 => 111011100 => [1,1,1,2,1,1,3] => [1,1,4,4] => 4
010001011 => 110001100 => [1,1,4,1,3] => [1,1,3,1,1,3] => 3
010001101 => 100101100 => [1,3,2,1,3] => [1,1,3,2,1,2] => 2
010001110 => 001101100 => [3,1,2,1,3] => [1,1,3,3,1,1] => 1
010010011 => 110100100 => [1,1,2,3,3] => [1,1,2,1,2,3] => 3
010010101 => 100000100 => [1,6,3] => [1,1,2,1,1,1,1,2] => 2
010010110 => 001000100 => [3,4,3] => [1,1,2,1,1,2,1,1] => 1
010011001 => 101010100 => [1,2,2,2,3] => [1,1,2,2,2,2] => 2
010011010 => 000010100 => [5,2,3] => [1,1,2,2,1,1,1,1] => 1
010100000 => 011110000 => [2,1,1,1,5] => [1,1,1,1,5,1] => 1
010100011 => 110110000 => [1,1,2,1,5] => [1,1,1,1,3,3] => 3
010100101 => 100010000 => [1,4,5] => [1,1,1,1,2,1,1,2] => 2
010100110 => 001010000 => [3,2,5] => [1,1,1,1,2,2,1,1] => 1
010101001 => 101000000 => [1,2,7] => [1,1,1,1,1,1,2,2] => 2
010101010 => 000000000 => [10] => [1,1,1,1,1,1,1,1,1,1] => 1
011000000 => 011111010 => [2,1,1,1,1,2,2] => [1,2,6,1] => 1
011010000 => 011100010 => [2,1,1,4,2] => [1,2,1,1,4,1] => 1
011100000 => 011110110 => [2,1,1,1,2,1,2] => [1,3,5,1] => 1
011101000 => 011000110 => [2,1,4,1,2] => [1,3,1,1,3,1] => 1
011110000 => 011101110 => [2,1,1,2,1,1,2] => [1,4,4,1] => 1
011110100 => 010001110 => [2,4,1,1,2] => [1,4,1,1,2,1] => 1
011111000 => 011011110 => [2,1,2,1,1,1,2] => [1,5,3,1] => 1
011111010 => 000011110 => [5,1,1,1,2] => [1,5,1,1,1,1] => 1
011111100 => 010111110 => [2,2,1,1,1,1,2] => [1,6,2,1] => 1
011111101 => 100111110 => [1,3,1,1,1,1,2] => [1,6,1,2] => 2
011111110 => 001111110 => [3,1,1,1,1,1,2] => [1,7,1,1] => 1
011111111 => 111111110 => [1,1,1,1,1,1,1,1,2] => [1,9] => 9
100000000 => 011111110 => [2,1,1,1,1,1,1,2] => [1,8,1] => 1
111111110 => 001111111 => [3,1,1,1,1,1,1,1] => [8,1,1] => 1
=> => [1] => [1] => 1
0111111111 => 1111111110 => [1,1,1,1,1,1,1,1,1,2] => [1,10] => 10
0000000000 => 0111111111 => [2,1,1,1,1,1,1,1,1,1] => [10,1] => 1
0110000000 => 0111111010 => [2,1,1,1,1,1,2,2] => [1,2,7,1] => 1
0111111110 => 0011111110 => [3,1,1,1,1,1,1,2] => [1,8,1,1] => 1
00101010101 => 10000000001 => [1,10,1] => [2,1,1,1,1,1,1,1,1,2] => 2
01001010101 => 10000000100 => [1,8,3] => [1,1,2,1,1,1,1,1,1,2] => 2
01010010101 => 10000010000 => [1,6,5] => [1,1,1,1,2,1,1,1,1,2] => 2
01010101010 => 00000000000 => [12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 1
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Description
The last part of an integer composition.
Map
conjugate
Description
The conjugate of a composition.
The conjugate of a composition $C$ is defined as the complement (Mp00039complement) of the reversal (Mp00038reverse) of $C$.
Equivalently, the ribbon shape corresponding to the conjugate of $C$ is the conjugate of the ribbon shape of $C$.
Map
to composition
Description
The composition corresponding to a binary word.
Prepending $1$ to a binary word $w$, the $i$-th part of the composition equals $1$ plus the number of zeros after the $i$-th $1$ in $w$.
This map is not surjective, since the empty composition does not have a preimage.
Map
flag zeros to zeros
Description
Return a binary word of the same length, such that the number of zeros equals the number of occurrences of $10$ in the word obtained from the original word by prepending the reverse of the complement.
For example, the image of the word $w=1\dots 1$ is $1\dots 1$, because $0\dots 01\dots 1$ has no occurrences of $10$. The words $10\dots 10$ and $010\dots 10$ have image $0\dots 0$.