Identifier
Identifier
Mp00097: Binary words delta morphismInteger compositions
Images
0 => [1]
1 => [1]
00 => [2]
01 => [1,1]
10 => [1,1]
11 => [2]
000 => [3]
001 => [2,1]
010 => [1,1,1]
011 => [1,2]
100 => [1,2]
101 => [1,1,1]
110 => [2,1]
111 => [3]
0000 => [4]
0001 => [3,1]
0010 => [2,1,1]
0011 => [2,2]
0100 => [1,1,2]
0101 => [1,1,1,1]
0110 => [1,2,1]
0111 => [1,3]
1000 => [1,3]
1001 => [1,2,1]
1010 => [1,1,1,1]
1011 => [1,1,2]
1100 => [2,2]
1101 => [2,1,1]
1110 => [3,1]
1111 => [4]
00000 => [5]
00001 => [4,1]
00010 => [3,1,1]
00011 => [3,2]
00100 => [2,1,2]
00101 => [2,1,1,1]
00110 => [2,2,1]
00111 => [2,3]
01000 => [1,1,3]
01001 => [1,1,2,1]
01010 => [1,1,1,1,1]
01011 => [1,1,1,2]
01100 => [1,2,2]
01101 => [1,2,1,1]
01110 => [1,3,1]
01111 => [1,4]
10000 => [1,4]
10001 => [1,3,1]
10010 => [1,2,1,1]
10011 => [1,2,2]
10100 => [1,1,1,2]
10101 => [1,1,1,1,1]
10110 => [1,1,2,1]
10111 => [1,1,3]
11000 => [2,3]
11001 => [2,2,1]
11010 => [2,1,1,1]
11011 => [2,1,2]
11100 => [3,2]
11101 => [3,1,1]
11110 => [4,1]
11111 => [5]
000000 => [6]
000001 => [5,1]
000010 => [4,1,1]
000011 => [4,2]
000100 => [3,1,2]
000101 => [3,1,1,1]
000110 => [3,2,1]
000111 => [3,3]
001000 => [2,1,3]
001001 => [2,1,2,1]
001010 => [2,1,1,1,1]
001011 => [2,1,1,2]
001100 => [2,2,2]
001101 => [2,2,1,1]
001110 => [2,3,1]
001111 => [2,4]
010000 => [1,1,4]
010001 => [1,1,3,1]
010010 => [1,1,2,1,1]
010011 => [1,1,2,2]
010100 => [1,1,1,1,2]
010101 => [1,1,1,1,1,1]
010110 => [1,1,1,2,1]
010111 => [1,1,1,3]
011000 => [1,2,3]
011001 => [1,2,2,1]
011010 => [1,2,1,1,1]
011011 => [1,2,1,2]
011100 => [1,3,2]
011101 => [1,3,1,1]
011110 => [1,4,1]
011111 => [1,5]
100000 => [1,5]
100001 => [1,4,1]
100010 => [1,3,1,1]
100011 => [1,3,2]
100100 => [1,2,1,2]
100101 => [1,2,1,1,1]
100110 => [1,2,2,1]
100111 => [1,2,3]
101000 => [1,1,1,3]
101001 => [1,1,1,2,1]
101010 => [1,1,1,1,1,1]
101011 => [1,1,1,1,2]
101100 => [1,1,2,2]
101101 => [1,1,2,1,1]
101110 => [1,1,3,1]
101111 => [1,1,4]
110000 => [2,4]
110001 => [2,3,1]
110010 => [2,2,1,1]
110011 => [2,2,2]
110100 => [2,1,1,2]
110101 => [2,1,1,1,1]
110110 => [2,1,2,1]
110111 => [2,1,3]
111000 => [3,3]
111001 => [3,2,1]
111010 => [3,1,1,1]
111011 => [3,1,2]
111100 => [4,2]
111101 => [4,1,1]
111110 => [5,1]
111111 => [6]
0000000 => [7]
0000001 => [6,1]
0000010 => [5,1,1]
0000011 => [5,2]
0000100 => [4,1,2]
0000101 => [4,1,1,1]
0000110 => [4,2,1]
0000111 => [4,3]
0001000 => [3,1,3]
0001001 => [3,1,2,1]
0001010 => [3,1,1,1,1]
0001011 => [3,1,1,2]
0001100 => [3,2,2]
0001101 => [3,2,1,1]
0001110 => [3,3,1]
0001111 => [3,4]
0010000 => [2,1,4]
0010001 => [2,1,3,1]
0010010 => [2,1,2,1,1]
0010011 => [2,1,2,2]
0010100 => [2,1,1,1,2]
0010101 => [2,1,1,1,1,1]
0010110 => [2,1,1,2,1]
0010111 => [2,1,1,3]
0011000 => [2,2,3]
0011001 => [2,2,2,1]
0011010 => [2,2,1,1,1]
0011011 => [2,2,1,2]
0011100 => [2,3,2]
0011101 => [2,3,1,1]
0011110 => [2,4,1]
0011111 => [2,5]
0100000 => [1,1,5]
0100001 => [1,1,4,1]
0100010 => [1,1,3,1,1]
0100011 => [1,1,3,2]
0100100 => [1,1,2,1,2]
0100101 => [1,1,2,1,1,1]
0100110 => [1,1,2,2,1]
0100111 => [1,1,2,3]
0101000 => [1,1,1,1,3]
0101001 => [1,1,1,1,2,1]
0101010 => [1,1,1,1,1,1,1]
0101011 => [1,1,1,1,1,2]
0101100 => [1,1,1,2,2]
0101101 => [1,1,1,2,1,1]
0101110 => [1,1,1,3,1]
0101111 => [1,1,1,4]
0110000 => [1,2,4]
0110001 => [1,2,3,1]
0110010 => [1,2,2,1,1]
0110011 => [1,2,2,2]
0110100 => [1,2,1,1,2]
0110101 => [1,2,1,1,1,1]
0110110 => [1,2,1,2,1]
0110111 => [1,2,1,3]
0111000 => [1,3,3]
0111001 => [1,3,2,1]
0111010 => [1,3,1,1,1]
0111011 => [1,3,1,2]
0111100 => [1,4,2]
0111101 => [1,4,1,1]
0111110 => [1,5,1]
0111111 => [1,6]
1000000 => [1,6]
1000001 => [1,5,1]
1000010 => [1,4,1,1]
1000011 => [1,4,2]
1000100 => [1,3,1,2]
1000101 => [1,3,1,1,1]
1000110 => [1,3,2,1]
1000111 => [1,3,3]
1001000 => [1,2,1,3]
1001001 => [1,2,1,2,1]
1001010 => [1,2,1,1,1,1]
1001011 => [1,2,1,1,2]
1001100 => [1,2,2,2]
1001101 => [1,2,2,1,1]
1001110 => [1,2,3,1]
1001111 => [1,2,4]
1010000 => [1,1,1,4]
1010001 => [1,1,1,3,1]
1010010 => [1,1,1,2,1,1]
1010011 => [1,1,1,2,2]
1010100 => [1,1,1,1,1,2]
1010101 => [1,1,1,1,1,1,1]
1010110 => [1,1,1,1,2,1]
1010111 => [1,1,1,1,3]
1011000 => [1,1,2,3]
1011001 => [1,1,2,2,1]
1011010 => [1,1,2,1,1,1]
1011011 => [1,1,2,1,2]
1011100 => [1,1,3,2]
1011101 => [1,1,3,1,1]
1011110 => [1,1,4,1]
1011111 => [1,1,5]
1100000 => [2,5]
1100001 => [2,4,1]
1100010 => [2,3,1,1]
1100011 => [2,3,2]
1100100 => [2,2,1,2]
1100101 => [2,2,1,1,1]
1100110 => [2,2,2,1]
1100111 => [2,2,3]
1101000 => [2,1,1,3]
1101001 => [2,1,1,2,1]
1101010 => [2,1,1,1,1,1]
1101011 => [2,1,1,1,2]
1101100 => [2,1,2,2]
1101101 => [2,1,2,1,1]
1101110 => [2,1,3,1]
1101111 => [2,1,4]
1110000 => [3,4]
1110001 => [3,3,1]
1110010 => [3,2,1,1]
1110011 => [3,2,2]
1110100 => [3,1,1,2]
1110101 => [3,1,1,1,1]
1110110 => [3,1,2,1]
1110111 => [3,1,3]
1111000 => [4,3]
1111001 => [4,2,1]
1111010 => [4,1,1,1]
1111011 => [4,1,2]
1111100 => [5,2]
1111101 => [5,1,1]
1111110 => [6,1]
1111111 => [7]
00000000 => [8]
00000001 => [7,1]
00000010 => [6,1,1]
00000011 => [6,2]
00000100 => [5,1,2]
00000101 => [5,1,1,1]
00000110 => [5,2,1]
00000111 => [5,3]
00001000 => [4,1,3]
00001001 => [4,1,2,1]
00001010 => [4,1,1,1,1]
00001011 => [4,1,1,2]
00001100 => [4,2,2]
00001101 => [4,2,1,1]
00001110 => [4,3,1]
00001111 => [4,4]
00010000 => [3,1,4]
00010001 => [3,1,3,1]
00010010 => [3,1,2,1,1]
00010011 => [3,1,2,2]
00010100 => [3,1,1,1,2]
00010101 => [3,1,1,1,1,1]
00010110 => [3,1,1,2,1]
00010111 => [3,1,1,3]
00011000 => [3,2,3]
00011001 => [3,2,2,1]
00011010 => [3,2,1,1,1]
00011011 => [3,2,1,2]
00011100 => [3,3,2]
00011101 => [3,3,1,1]
00011110 => [3,4,1]
00011111 => [3,5]
00100000 => [2,1,5]
00100001 => [2,1,4,1]
00100010 => [2,1,3,1,1]
00100011 => [2,1,3,2]
00100100 => [2,1,2,1,2]
00100101 => [2,1,2,1,1,1]
00100110 => [2,1,2,2,1]
00100111 => [2,1,2,3]
00101000 => [2,1,1,1,3]
00101001 => [2,1,1,1,2,1]
00101010 => [2,1,1,1,1,1,1]
00101011 => [2,1,1,1,1,2]
00101100 => [2,1,1,2,2]
00101101 => [2,1,1,2,1,1]
00101110 => [2,1,1,3,1]
00101111 => [2,1,1,4]
00110000 => [2,2,4]
00110001 => [2,2,3,1]
00110010 => [2,2,2,1,1]
00110011 => [2,2,2,2]
00110100 => [2,2,1,1,2]
00110101 => [2,2,1,1,1,1]
00110110 => [2,2,1,2,1]
00110111 => [2,2,1,3]
00111000 => [2,3,3]
00111001 => [2,3,2,1]
00111010 => [2,3,1,1,1]
00111011 => [2,3,1,2]
00111100 => [2,4,2]
00111101 => [2,4,1,1]
00111110 => [2,5,1]
00111111 => [2,6]
01000000 => [1,1,6]
01000001 => [1,1,5,1]
01000010 => [1,1,4,1,1]
01000011 => [1,1,4,2]
01000100 => [1,1,3,1,2]
01000101 => [1,1,3,1,1,1]
01000110 => [1,1,3,2,1]
01000111 => [1,1,3,3]
01001000 => [1,1,2,1,3]
01001001 => [1,1,2,1,2,1]
01001010 => [1,1,2,1,1,1,1]
01001011 => [1,1,2,1,1,2]
01001100 => [1,1,2,2,2]
01001101 => [1,1,2,2,1,1]
01001110 => [1,1,2,3,1]
01001111 => [1,1,2,4]
01010000 => [1,1,1,1,4]
01010001 => [1,1,1,1,3,1]
01010010 => [1,1,1,1,2,1,1]
01010011 => [1,1,1,1,2,2]
01010100 => [1,1,1,1,1,1,2]
01010101 => [1,1,1,1,1,1,1,1]
01010110 => [1,1,1,1,1,2,1]
01010111 => [1,1,1,1,1,3]
01011000 => [1,1,1,2,3]
01011001 => [1,1,1,2,2,1]
01011010 => [1,1,1,2,1,1,1]
01011011 => [1,1,1,2,1,2]
01011100 => [1,1,1,3,2]
01011101 => [1,1,1,3,1,1]
01011110 => [1,1,1,4,1]
01011111 => [1,1,1,5]
01100000 => [1,2,5]
01100001 => [1,2,4,1]
01100010 => [1,2,3,1,1]
01100011 => [1,2,3,2]
01100100 => [1,2,2,1,2]
01100101 => [1,2,2,1,1,1]
01100110 => [1,2,2,2,1]
01100111 => [1,2,2,3]
01101000 => [1,2,1,1,3]
01101001 => [1,2,1,1,2,1]
01101010 => [1,2,1,1,1,1,1]
01101011 => [1,2,1,1,1,2]
01101100 => [1,2,1,2,2]
01101101 => [1,2,1,2,1,1]
01101110 => [1,2,1,3,1]
01101111 => [1,2,1,4]
01110000 => [1,3,4]
01110001 => [1,3,3,1]
01110010 => [1,3,2,1,1]
01110011 => [1,3,2,2]
01110100 => [1,3,1,1,2]
01110101 => [1,3,1,1,1,1]
01110110 => [1,3,1,2,1]
01110111 => [1,3,1,3]
01111000 => [1,4,3]
01111001 => [1,4,2,1]
01111010 => [1,4,1,1,1]
01111011 => [1,4,1,2]
01111100 => [1,5,2]
01111101 => [1,5,1,1]
01111110 => [1,6,1]
01111111 => [1,7]
10000000 => [1,7]
10000001 => [1,6,1]
10000010 => [1,5,1,1]
10000011 => [1,5,2]
10000100 => [1,4,1,2]
10000101 => [1,4,1,1,1]
10000110 => [1,4,2,1]
10000111 => [1,4,3]
10001000 => [1,3,1,3]
10001001 => [1,3,1,2,1]
10001010 => [1,3,1,1,1,1]
10001011 => [1,3,1,1,2]
10001100 => [1,3,2,2]
10001101 => [1,3,2,1,1]
10001110 => [1,3,3,1]
10001111 => [1,3,4]
10010000 => [1,2,1,4]
10010001 => [1,2,1,3,1]
10010010 => [1,2,1,2,1,1]
10010011 => [1,2,1,2,2]
10010100 => [1,2,1,1,1,2]
10010101 => [1,2,1,1,1,1,1]
10010110 => [1,2,1,1,2,1]
10010111 => [1,2,1,1,3]
10011000 => [1,2,2,3]
10011001 => [1,2,2,2,1]
10011010 => [1,2,2,1,1,1]
10011011 => [1,2,2,1,2]
10011100 => [1,2,3,2]
10011101 => [1,2,3,1,1]
10011110 => [1,2,4,1]
10011111 => [1,2,5]
10100000 => [1,1,1,5]
10100001 => [1,1,1,4,1]
10100010 => [1,1,1,3,1,1]
10100011 => [1,1,1,3,2]
10100100 => [1,1,1,2,1,2]
10100101 => [1,1,1,2,1,1,1]
10100110 => [1,1,1,2,2,1]
10100111 => [1,1,1,2,3]
10101000 => [1,1,1,1,1,3]
10101001 => [1,1,1,1,1,2,1]
10101010 => [1,1,1,1,1,1,1,1]
10101011 => [1,1,1,1,1,1,2]
10101100 => [1,1,1,1,2,2]
10101101 => [1,1,1,1,2,1,1]
10101110 => [1,1,1,1,3,1]
10101111 => [1,1,1,1,4]
10110000 => [1,1,2,4]
10110001 => [1,1,2,3,1]
10110010 => [1,1,2,2,1,1]
10110011 => [1,1,2,2,2]
10110100 => [1,1,2,1,1,2]
10110101 => [1,1,2,1,1,1,1]
10110110 => [1,1,2,1,2,1]
10110111 => [1,1,2,1,3]
10111000 => [1,1,3,3]
10111001 => [1,1,3,2,1]
10111010 => [1,1,3,1,1,1]
10111011 => [1,1,3,1,2]
10111100 => [1,1,4,2]
10111101 => [1,1,4,1,1]
10111110 => [1,1,5,1]
10111111 => [1,1,6]
11000000 => [2,6]
11000001 => [2,5,1]
11000010 => [2,4,1,1]
11000011 => [2,4,2]
11000100 => [2,3,1,2]
11000101 => [2,3,1,1,1]
11000110 => [2,3,2,1]
11000111 => [2,3,3]
11001000 => [2,2,1,3]
11001001 => [2,2,1,2,1]
11001010 => [2,2,1,1,1,1]
11001011 => [2,2,1,1,2]
11001100 => [2,2,2,2]
11001101 => [2,2,2,1,1]
11001110 => [2,2,3,1]
11001111 => [2,2,4]
11010000 => [2,1,1,4]
11010001 => [2,1,1,3,1]
11010010 => [2,1,1,2,1,1]
11010011 => [2,1,1,2,2]
11010100 => [2,1,1,1,1,2]
11010101 => [2,1,1,1,1,1,1]
11010110 => [2,1,1,1,2,1]
11010111 => [2,1,1,1,3]
11011000 => [2,1,2,3]
11011001 => [2,1,2,2,1]
11011010 => [2,1,2,1,1,1]
11011011 => [2,1,2,1,2]
11011100 => [2,1,3,2]
11011101 => [2,1,3,1,1]
11011110 => [2,1,4,1]
11011111 => [2,1,5]
11100000 => [3,5]
11100001 => [3,4,1]
11100010 => [3,3,1,1]
11100011 => [3,3,2]
11100100 => [3,2,1,2]
11100101 => [3,2,1,1,1]
11100110 => [3,2,2,1]
11100111 => [3,2,3]
11101000 => [3,1,1,3]
11101001 => [3,1,1,2,1]
11101010 => [3,1,1,1,1,1]
11101011 => [3,1,1,1,2]
11101100 => [3,1,2,2]
11101101 => [3,1,2,1,1]
11101110 => [3,1,3,1]
11101111 => [3,1,4]
11110000 => [4,4]
11110001 => [4,3,1]
11110010 => [4,2,1,1]
11110011 => [4,2,2]
11110100 => [4,1,1,2]
11110101 => [4,1,1,1,1]
11110110 => [4,1,2,1]
11110111 => [4,1,3]
11111000 => [5,3]
11111001 => [5,2,1]
11111010 => [5,1,1,1]
11111011 => [5,1,2]
11111100 => [6,2]
11111101 => [6,1,1]
11111110 => [7,1]
11111111 => [8]
000000000 => [9]
000000001 => [8,1]
000000010 => [7,1,1]
000000011 => [7,2]
000000100 => [6,1,2]
000000101 => [6,1,1,1]
000000110 => [6,2,1]
000000111 => [6,3]
000001000 => [5,1,3]
000001001 => [5,1,2,1]
000001010 => [5,1,1,1,1]
000001011 => [5,1,1,2]
000001100 => [5,2,2]
000001101 => [5,2,1,1]
000001110 => [5,3,1]
000001111 => [5,4]
000010000 => [4,1,4]
000010001 => [4,1,3,1]
000010010 => [4,1,2,1,1]
000010011 => [4,1,2,2]
000010100 => [4,1,1,1,2]
000010101 => [4,1,1,1,1,1]
000010110 => [4,1,1,2,1]
000010111 => [4,1,1,3]
000011000 => [4,2,3]
000011001 => [4,2,2,1]
000011010 => [4,2,1,1,1]
000011011 => [4,2,1,2]
000011100 => [4,3,2]
000011101 => [4,3,1,1]
000011110 => [4,4,1]
000011111 => [4,5]
000100000 => [3,1,5]
000100001 => [3,1,4,1]
000100010 => [3,1,3,1,1]
000100011 => [3,1,3,2]
000100100 => [3,1,2,1,2]
000100101 => [3,1,2,1,1,1]
000100110 => [3,1,2,2,1]
000100111 => [3,1,2,3]
000101000 => [3,1,1,1,3]
000101001 => [3,1,1,1,2,1]
000101010 => [3,1,1,1,1,1,1]
000101011 => [3,1,1,1,1,2]
000101100 => [3,1,1,2,2]
000101101 => [3,1,1,2,1,1]
000101110 => [3,1,1,3,1]
000101111 => [3,1,1,4]
000110000 => [3,2,4]
000110001 => [3,2,3,1]
000110010 => [3,2,2,1,1]
000110011 => [3,2,2,2]
000110100 => [3,2,1,1,2]
000110101 => [3,2,1,1,1,1]
000110110 => [3,2,1,2,1]
000110111 => [3,2,1,3]
000111000 => [3,3,3]
000111001 => [3,3,2,1]
000111010 => [3,3,1,1,1]
000111011 => [3,3,1,2]
000111100 => [3,4,2]
000111101 => [3,4,1,1]
000111110 => [3,5,1]
000111111 => [3,6]
001000000 => [2,1,6]
001000001 => [2,1,5,1]
001000010 => [2,1,4,1,1]
001000011 => [2,1,4,2]
001000100 => [2,1,3,1,2]
001000101 => [2,1,3,1,1,1]
001000110 => [2,1,3,2,1]
001000111 => [2,1,3,3]
001001000 => [2,1,2,1,3]
001001001 => [2,1,2,1,2,1]
001001010 => [2,1,2,1,1,1,1]
001001011 => [2,1,2,1,1,2]
001001100 => [2,1,2,2,2]
001001101 => [2,1,2,2,1,1]
001001110 => [2,1,2,3,1]
001001111 => [2,1,2,4]
001010000 => [2,1,1,1,4]
001010001 => [2,1,1,1,3,1]
001010010 => [2,1,1,1,2,1,1]
001010011 => [2,1,1,1,2,2]
001010100 => [2,1,1,1,1,1,2]
001010101 => [2,1,1,1,1,1,1,1]
001010110 => [2,1,1,1,1,2,1]
001010111 => [2,1,1,1,1,3]
001011000 => [2,1,1,2,3]
001011001 => [2,1,1,2,2,1]
001011010 => [2,1,1,2,1,1,1]
001011011 => [2,1,1,2,1,2]
001011100 => [2,1,1,3,2]
001011101 => [2,1,1,3,1,1]
001011110 => [2,1,1,4,1]
001011111 => [2,1,1,5]
001100000 => [2,2,5]
001100001 => [2,2,4,1]
001100010 => [2,2,3,1,1]
001100011 => [2,2,3,2]
001100100 => [2,2,2,1,2]
001100101 => [2,2,2,1,1,1]
001100110 => [2,2,2,2,1]
001100111 => [2,2,2,3]
001101000 => [2,2,1,1,3]
001101001 => [2,2,1,1,2,1]
001101010 => [2,2,1,1,1,1,1]
001101011 => [2,2,1,1,1,2]
001101100 => [2,2,1,2,2]
001101101 => [2,2,1,2,1,1]
001101110 => [2,2,1,3,1]
001101111 => [2,2,1,4]
001110000 => [2,3,4]
001110001 => [2,3,3,1]
001110010 => [2,3,2,1,1]
001110011 => [2,3,2,2]
001110100 => [2,3,1,1,2]
001110101 => [2,3,1,1,1,1]
001110110 => [2,3,1,2,1]
001110111 => [2,3,1,3]
001111000 => [2,4,3]
001111001 => [2,4,2,1]
001111010 => [2,4,1,1,1]
001111011 => [2,4,1,2]
001111100 => [2,5,2]
001111101 => [2,5,1,1]
001111110 => [2,6,1]
001111111 => [2,7]
010000000 => [1,1,7]
010000001 => [1,1,6,1]
010000010 => [1,1,5,1,1]
010000011 => [1,1,5,2]
010000100 => [1,1,4,1,2]
010000101 => [1,1,4,1,1,1]
010000110 => [1,1,4,2,1]
010000111 => [1,1,4,3]
010001000 => [1,1,3,1,3]
010001001 => [1,1,3,1,2,1]
010001010 => [1,1,3,1,1,1,1]
010001011 => [1,1,3,1,1,2]
010001100 => [1,1,3,2,2]
010001101 => [1,1,3,2,1,1]
010001110 => [1,1,3,3,1]
010001111 => [1,1,3,4]
010010000 => [1,1,2,1,4]
010010001 => [1,1,2,1,3,1]
010010010 => [1,1,2,1,2,1,1]
010010011 => [1,1,2,1,2,2]
010010100 => [1,1,2,1,1,1,2]
010010101 => [1,1,2,1,1,1,1,1]
010010110 => [1,1,2,1,1,2,1]
010010111 => [1,1,2,1,1,3]
010011000 => [1,1,2,2,3]
010011001 => [1,1,2,2,2,1]
010011010 => [1,1,2,2,1,1,1]
010011011 => [1,1,2,2,1,2]
010011100 => [1,1,2,3,2]
010011101 => [1,1,2,3,1,1]
010011110 => [1,1,2,4,1]
010011111 => [1,1,2,5]
010100000 => [1,1,1,1,5]
010100001 => [1,1,1,1,4,1]
010100010 => [1,1,1,1,3,1,1]
010100011 => [1,1,1,1,3,2]
010100100 => [1,1,1,1,2,1,2]
010100101 => [1,1,1,1,2,1,1,1]
010100110 => [1,1,1,1,2,2,1]
010100111 => [1,1,1,1,2,3]
010101000 => [1,1,1,1,1,1,3]
010101001 => [1,1,1,1,1,1,2,1]
010101010 => [1,1,1,1,1,1,1,1,1]
010101011 => [1,1,1,1,1,1,1,2]
010101100 => [1,1,1,1,1,2,2]
010101101 => [1,1,1,1,1,2,1,1]
010101110 => [1,1,1,1,1,3,1]
010101111 => [1,1,1,1,1,4]
010110000 => [1,1,1,2,4]
010110001 => [1,1,1,2,3,1]
010110010 => [1,1,1,2,2,1,1]
010110011 => [1,1,1,2,2,2]
010110100 => [1,1,1,2,1,1,2]
010110101 => [1,1,1,2,1,1,1,1]
010110110 => [1,1,1,2,1,2,1]
010110111 => [1,1,1,2,1,3]
010111000 => [1,1,1,3,3]
010111001 => [1,1,1,3,2,1]
010111010 => [1,1,1,3,1,1,1]
010111011 => [1,1,1,3,1,2]
010111100 => [1,1,1,4,2]
010111101 => [1,1,1,4,1,1]
010111110 => [1,1,1,5,1]
010111111 => [1,1,1,6]
011000000 => [1,2,6]
011000001 => [1,2,5,1]
011000010 => [1,2,4,1,1]
011000011 => [1,2,4,2]
011000100 => [1,2,3,1,2]
011000101 => [1,2,3,1,1,1]
011000110 => [1,2,3,2,1]
011000111 => [1,2,3,3]
011001000 => [1,2,2,1,3]
011001001 => [1,2,2,1,2,1]
011001010 => [1,2,2,1,1,1,1]
011001011 => [1,2,2,1,1,2]
011001100 => [1,2,2,2,2]
011001101 => [1,2,2,2,1,1]
011001110 => [1,2,2,3,1]
011001111 => [1,2,2,4]
011010000 => [1,2,1,1,4]
011010001 => [1,2,1,1,3,1]
011010010 => [1,2,1,1,2,1,1]
011010011 => [1,2,1,1,2,2]
011010100 => [1,2,1,1,1,1,2]
011010101 => [1,2,1,1,1,1,1,1]
011010110 => [1,2,1,1,1,2,1]
011010111 => [1,2,1,1,1,3]
011011000 => [1,2,1,2,3]
011011001 => [1,2,1,2,2,1]
011011010 => [1,2,1,2,1,1,1]
011011011 => [1,2,1,2,1,2]
011011100 => [1,2,1,3,2]
011011101 => [1,2,1,3,1,1]
011011110 => [1,2,1,4,1]
011011111 => [1,2,1,5]
011100000 => [1,3,5]
011100001 => [1,3,4,1]
011100010 => [1,3,3,1,1]
011100011 => [1,3,3,2]
011100100 => [1,3,2,1,2]
011100101 => [1,3,2,1,1,1]
011100110 => [1,3,2,2,1]
011100111 => [1,3,2,3]
011101000 => [1,3,1,1,3]
011101001 => [1,3,1,1,2,1]
011101010 => [1,3,1,1,1,1,1]
011101011 => [1,3,1,1,1,2]
011101100 => [1,3,1,2,2]
011101101 => [1,3,1,2,1,1]
011101110 => [1,3,1,3,1]
011101111 => [1,3,1,4]
011110000 => [1,4,4]
011110001 => [1,4,3,1]
011110010 => [1,4,2,1,1]
011110011 => [1,4,2,2]
011110100 => [1,4,1,1,2]
011110101 => [1,4,1,1,1,1]
011110110 => [1,4,1,2,1]
011110111 => [1,4,1,3]
011111000 => [1,5,3]
011111001 => [1,5,2,1]
011111010 => [1,5,1,1,1]
011111011 => [1,5,1,2]
011111100 => [1,6,2]
011111101 => [1,6,1,1]
011111110 => [1,7,1]
011111111 => [1,8]
100000000 => [1,8]
100000001 => [1,7,1]
100000010 => [1,6,1,1]
100000011 => [1,6,2]
100000100 => [1,5,1,2]
100000101 => [1,5,1,1,1]
100000110 => [1,5,2,1]
100000111 => [1,5,3]
100001000 => [1,4,1,3]
100001001 => [1,4,1,2,1]
100001010 => [1,4,1,1,1,1]
100001011 => [1,4,1,1,2]
100001100 => [1,4,2,2]
100001101 => [1,4,2,1,1]
100001110 => [1,4,3,1]
100001111 => [1,4,4]
100010000 => [1,3,1,4]
100010001 => [1,3,1,3,1]
100010010 => [1,3,1,2,1,1]
100010011 => [1,3,1,2,2]
100010100 => [1,3,1,1,1,2]
100010101 => [1,3,1,1,1,1,1]
100010110 => [1,3,1,1,2,1]
100010111 => [1,3,1,1,3]
100011000 => [1,3,2,3]
100011001 => [1,3,2,2,1]
100011010 => [1,3,2,1,1,1]
100011011 => [1,3,2,1,2]
100011100 => [1,3,3,2]
100011101 => [1,3,3,1,1]
100011110 => [1,3,4,1]
100011111 => [1,3,5]
100100000 => [1,2,1,5]
100100001 => [1,2,1,4,1]
100100010 => [1,2,1,3,1,1]
100100011 => [1,2,1,3,2]
100100100 => [1,2,1,2,1,2]
100100101 => [1,2,1,2,1,1,1]
100100110 => [1,2,1,2,2,1]
100100111 => [1,2,1,2,3]
100101000 => [1,2,1,1,1,3]
100101001 => [1,2,1,1,1,2,1]
100101010 => [1,2,1,1,1,1,1,1]
100101011 => [1,2,1,1,1,1,2]
100101100 => [1,2,1,1,2,2]
100101101 => [1,2,1,1,2,1,1]
100101110 => [1,2,1,1,3,1]
100101111 => [1,2,1,1,4]
100110000 => [1,2,2,4]
100110001 => [1,2,2,3,1]
100110010 => [1,2,2,2,1,1]
100110011 => [1,2,2,2,2]
100110100 => [1,2,2,1,1,2]
100110101 => [1,2,2,1,1,1,1]
100110110 => [1,2,2,1,2,1]
100110111 => [1,2,2,1,3]
100111000 => [1,2,3,3]
100111001 => [1,2,3,2,1]
100111010 => [1,2,3,1,1,1]
100111011 => [1,2,3,1,2]
100111100 => [1,2,4,2]
100111101 => [1,2,4,1,1]
100111110 => [1,2,5,1]
100111111 => [1,2,6]
101000000 => [1,1,1,6]
101000001 => [1,1,1,5,1]
101000010 => [1,1,1,4,1,1]
101000011 => [1,1,1,4,2]
101000100 => [1,1,1,3,1,2]
101000101 => [1,1,1,3,1,1,1]
101000110 => [1,1,1,3,2,1]
101000111 => [1,1,1,3,3]
101001000 => [1,1,1,2,1,3]
101001001 => [1,1,1,2,1,2,1]
101001010 => [1,1,1,2,1,1,1,1]
101001011 => [1,1,1,2,1,1,2]
101001100 => [1,1,1,2,2,2]
101001101 => [1,1,1,2,2,1,1]
101001110 => [1,1,1,2,3,1]
101001111 => [1,1,1,2,4]
101010000 => [1,1,1,1,1,4]
101010001 => [1,1,1,1,1,3,1]
101010010 => [1,1,1,1,1,2,1,1]
101010011 => [1,1,1,1,1,2,2]
101010100 => [1,1,1,1,1,1,1,2]
101010101 => [1,1,1,1,1,1,1,1,1]
101010110 => [1,1,1,1,1,1,2,1]
101010111 => [1,1,1,1,1,1,3]
101011000 => [1,1,1,1,2,3]
101011001 => [1,1,1,1,2,2,1]
101011010 => [1,1,1,1,2,1,1,1]
101011011 => [1,1,1,1,2,1,2]
101011100 => [1,1,1,1,3,2]
101011101 => [1,1,1,1,3,1,1]
101011110 => [1,1,1,1,4,1]
101011111 => [1,1,1,1,5]
101100000 => [1,1,2,5]
101100001 => [1,1,2,4,1]
101100010 => [1,1,2,3,1,1]
101100011 => [1,1,2,3,2]
101100100 => [1,1,2,2,1,2]
101100101 => [1,1,2,2,1,1,1]
101100110 => [1,1,2,2,2,1]
101100111 => [1,1,2,2,3]
101101000 => [1,1,2,1,1,3]
101101001 => [1,1,2,1,1,2,1]
101101010 => [1,1,2,1,1,1,1,1]
101101011 => [1,1,2,1,1,1,2]
101101100 => [1,1,2,1,2,2]
101101101 => [1,1,2,1,2,1,1]
101101110 => [1,1,2,1,3,1]
101101111 => [1,1,2,1,4]
101110000 => [1,1,3,4]
101110001 => [1,1,3,3,1]
101110010 => [1,1,3,2,1,1]
101110011 => [1,1,3,2,2]
101110100 => [1,1,3,1,1,2]
101110101 => [1,1,3,1,1,1,1]
101110110 => [1,1,3,1,2,1]
101110111 => [1,1,3,1,3]
101111000 => [1,1,4,3]
101111001 => [1,1,4,2,1]
101111010 => [1,1,4,1,1,1]
101111011 => [1,1,4,1,2]
101111100 => [1,1,5,2]
101111101 => [1,1,5,1,1]
101111110 => [1,1,6,1]
101111111 => [1,1,7]
110000000 => [2,7]
110000001 => [2,6,1]
110000010 => [2,5,1,1]
110000011 => [2,5,2]
110000100 => [2,4,1,2]
110000101 => [2,4,1,1,1]
110000110 => [2,4,2,1]
110000111 => [2,4,3]
110001000 => [2,3,1,3]
110001001 => [2,3,1,2,1]
110001010 => [2,3,1,1,1,1]
110001011 => [2,3,1,1,2]
110001100 => [2,3,2,2]
110001101 => [2,3,2,1,1]
110001110 => [2,3,3,1]
110001111 => [2,3,4]
110010000 => [2,2,1,4]
110010001 => [2,2,1,3,1]
110010010 => [2,2,1,2,1,1]
110010011 => [2,2,1,2,2]
110010100 => [2,2,1,1,1,2]
110010101 => [2,2,1,1,1,1,1]
110010110 => [2,2,1,1,2,1]
110010111 => [2,2,1,1,3]
110011000 => [2,2,2,3]
110011001 => [2,2,2,2,1]
110011010 => [2,2,2,1,1,1]
110011011 => [2,2,2,1,2]
110011100 => [2,2,3,2]
110011101 => [2,2,3,1,1]
110011110 => [2,2,4,1]
110011111 => [2,2,5]
110100000 => [2,1,1,5]
110100001 => [2,1,1,4,1]
110100010 => [2,1,1,3,1,1]
110100011 => [2,1,1,3,2]
110100100 => [2,1,1,2,1,2]
110100101 => [2,1,1,2,1,1,1]
110100110 => [2,1,1,2,2,1]
110100111 => [2,1,1,2,3]
110101000 => [2,1,1,1,1,3]
110101001 => [2,1,1,1,1,2,1]
110101010 => [2,1,1,1,1,1,1,1]
110101011 => [2,1,1,1,1,1,2]
110101100 => [2,1,1,1,2,2]
110101101 => [2,1,1,1,2,1,1]
110101110 => [2,1,1,1,3,1]
110101111 => [2,1,1,1,4]
110110000 => [2,1,2,4]
110110001 => [2,1,2,3,1]
110110010 => [2,1,2,2,1,1]
110110011 => [2,1,2,2,2]
110110100 => [2,1,2,1,1,2]
110110101 => [2,1,2,1,1,1,1]
110110110 => [2,1,2,1,2,1]
110110111 => [2,1,2,1,3]
110111000 => [2,1,3,3]
110111001 => [2,1,3,2,1]
110111010 => [2,1,3,1,1,1]
110111011 => [2,1,3,1,2]
110111100 => [2,1,4,2]
110111101 => [2,1,4,1,1]
110111110 => [2,1,5,1]
110111111 => [2,1,6]
111000000 => [3,6]
111000001 => [3,5,1]
111000010 => [3,4,1,1]
111000011 => [3,4,2]
111000100 => [3,3,1,2]
111000101 => [3,3,1,1,1]
111000110 => [3,3,2,1]
111000111 => [3,3,3]
111001000 => [3,2,1,3]
111001001 => [3,2,1,2,1]
111001010 => [3,2,1,1,1,1]
111001011 => [3,2,1,1,2]
111001100 => [3,2,2,2]
111001101 => [3,2,2,1,1]
111001110 => [3,2,3,1]
111001111 => [3,2,4]
111010000 => [3,1,1,4]
111010001 => [3,1,1,3,1]
111010010 => [3,1,1,2,1,1]
111010011 => [3,1,1,2,2]
111010100 => [3,1,1,1,1,2]
111010101 => [3,1,1,1,1,1,1]
111010110 => [3,1,1,1,2,1]
111010111 => [3,1,1,1,3]
111011000 => [3,1,2,3]
111011001 => [3,1,2,2,1]
111011010 => [3,1,2,1,1,1]
111011011 => [3,1,2,1,2]
111011100 => [3,1,3,2]
111011101 => [3,1,3,1,1]
111011110 => [3,1,4,1]
111011111 => [3,1,5]
111100000 => [4,5]
111100001 => [4,4,1]
111100010 => [4,3,1,1]
111100011 => [4,3,2]
111100100 => [4,2,1,2]
111100101 => [4,2,1,1,1]
111100110 => [4,2,2,1]
111100111 => [4,2,3]
111101000 => [4,1,1,3]
111101001 => [4,1,1,2,1]
111101010 => [4,1,1,1,1,1]
111101011 => [4,1,1,1,2]
111101100 => [4,1,2,2]
111101101 => [4,1,2,1,1]
111101110 => [4,1,3,1]
111101111 => [4,1,4]
111110000 => [5,4]
111110001 => [5,3,1]
111110010 => [5,2,1,1]
111110011 => [5,2,2]
111110100 => [5,1,1,2]
111110101 => [5,1,1,1,1]
111110110 => [5,1,2,1]
111110111 => [5,1,3]
111111000 => [6,3]
111111001 => [6,2,1]
111111010 => [6,1,1,1]
111111011 => [6,1,2]
111111100 => [7,2]
111111101 => [7,1,1]
111111110 => [8,1]
111111111 => [9]
1010101010 => [1,1,1,1,1,1,1,1,1,1]
1010101100 => [1,1,1,1,1,1,2,2]
1010110010 => [1,1,1,1,2,2,1,1]
1010110100 => [1,1,1,1,2,1,1,2]
1010111000 => [1,1,1,1,3,3]
1011001010 => [1,1,2,2,1,1,1,1]
1011001100 => [1,1,2,2,2,2]
1011010010 => [1,1,2,1,1,2,1,1]
1011010100 => [1,1,2,1,1,1,1,2]
1011011000 => [1,1,2,1,2,3]
1011100010 => [1,1,3,3,1,1]
1011100100 => [1,1,3,2,1,2]
1011101000 => [1,1,3,1,1,3]
1011110000 => [1,1,4,4]
1100101010 => [2,2,1,1,1,1,1,1]
1100101100 => [2,2,1,1,2,2]
1100110010 => [2,2,2,2,1,1]
1100110100 => [2,2,2,1,1,2]
1100111000 => [2,2,3,3]
1101001010 => [2,1,1,2,1,1,1,1]
1101001100 => [2,1,1,2,2,2]
1101010010 => [2,1,1,1,1,2,1,1]
1101010100 => [2,1,1,1,1,1,1,2]
1101011000 => [2,1,1,1,2,3]
1101100010 => [2,1,2,3,1,1]
1101100100 => [2,1,2,2,1,2]
1101101000 => [2,1,2,1,1,3]
1101110000 => [2,1,3,4]
1110001010 => [3,3,1,1,1,1]
1110001100 => [3,3,2,2]
1110010010 => [3,2,1,2,1,1]
1110010100 => [3,2,1,1,1,2]
1110011000 => [3,2,2,3]
1110100010 => [3,1,1,3,1,1]
1110100100 => [3,1,1,2,1,2]
1110101000 => [3,1,1,1,1,3]
1110110000 => [3,1,2,4]
1111000010 => [4,4,1,1]
1111000100 => [4,3,1,2]
1111001000 => [4,2,1,3]
1111010000 => [4,1,1,4]
1111100000 => [5,5]
101010101010 => [1,1,1,1,1,1,1,1,1,1,1,1]
101010101100 => [1,1,1,1,1,1,1,1,2,2]
101010110010 => [1,1,1,1,1,1,2,2,1,1]
101010110100 => [1,1,1,1,1,1,2,1,1,2]
101010111000 => [1,1,1,1,1,1,3,3]
101011001010 => [1,1,1,1,2,2,1,1,1,1]
101011001100 => [1,1,1,1,2,2,2,2]
101011010010 => [1,1,1,1,2,1,1,2,1,1]
101011010100 => [1,1,1,1,2,1,1,1,1,2]
101011011000 => [1,1,1,1,2,1,2,3]
101011100010 => [1,1,1,1,3,3,1,1]
101011100100 => [1,1,1,1,3,2,1,2]
101011101000 => [1,1,1,1,3,1,1,3]
101011110000 => [1,1,1,1,4,4]
101100101010 => [1,1,2,2,1,1,1,1,1,1]
101100101100 => [1,1,2,2,1,1,2,2]
101100110010 => [1,1,2,2,2,2,1,1]
101100110100 => [1,1,2,2,2,1,1,2]
101100111000 => [1,1,2,2,3,3]
101101001010 => [1,1,2,1,1,2,1,1,1,1]
101101001100 => [1,1,2,1,1,2,2,2]
101101010010 => [1,1,2,1,1,1,1,2,1,1]
101101010100 => [1,1,2,1,1,1,1,1,1,2]
101101011000 => [1,1,2,1,1,1,2,3]
101101100010 => [1,1,2,1,2,3,1,1]
101101100100 => [1,1,2,1,2,2,1,2]
101101101000 => [1,1,2,1,2,1,1,3]
101101110000 => [1,1,2,1,3,4]
101110001010 => [1,1,3,3,1,1,1,1]
101110001100 => [1,1,3,3,2,2]
101110010010 => [1,1,3,2,1,2,1,1]
101110010100 => [1,1,3,2,1,1,1,2]
101110011000 => [1,1,3,2,2,3]
101110100010 => [1,1,3,1,1,3,1,1]
101110100100 => [1,1,3,1,1,2,1,2]
101110101000 => [1,1,3,1,1,1,1,3]
101110110000 => [1,1,3,1,2,4]
101111000010 => [1,1,4,4,1,1]
101111000100 => [1,1,4,3,1,2]
101111001000 => [1,1,4,2,1,3]
101111010000 => [1,1,4,1,1,4]
101111100000 => [1,1,5,5]
110010101010 => [2,2,1,1,1,1,1,1,1,1]
110010101100 => [2,2,1,1,1,1,2,2]
110010110010 => [2,2,1,1,2,2,1,1]
110010110100 => [2,2,1,1,2,1,1,2]
110010111000 => [2,2,1,1,3,3]
110011001010 => [2,2,2,2,1,1,1,1]
110011001100 => [2,2,2,2,2,2]
110011010010 => [2,2,2,1,1,2,1,1]
110011010100 => [2,2,2,1,1,1,1,2]
110011011000 => [2,2,2,1,2,3]
110011100010 => [2,2,3,3,1,1]
110011100100 => [2,2,3,2,1,2]
110011101000 => [2,2,3,1,1,3]
110011110000 => [2,2,4,4]
110100101010 => [2,1,1,2,1,1,1,1,1,1]
110100101100 => [2,1,1,2,1,1,2,2]
110100110010 => [2,1,1,2,2,2,1,1]
110100110100 => [2,1,1,2,2,1,1,2]
110100111000 => [2,1,1,2,3,3]
110101001010 => [2,1,1,1,1,2,1,1,1,1]
110101001100 => [2,1,1,1,1,2,2,2]
110101010010 => [2,1,1,1,1,1,1,2,1,1]
110101010100 => [2,1,1,1,1,1,1,1,1,2]
110101011000 => [2,1,1,1,1,1,2,3]
110101100010 => [2,1,1,1,2,3,1,1]
110101100100 => [2,1,1,1,2,2,1,2]
110101101000 => [2,1,1,1,2,1,1,3]
110101110000 => [2,1,1,1,3,4]
110110001010 => [2,1,2,3,1,1,1,1]
110110001100 => [2,1,2,3,2,2]
110110010010 => [2,1,2,2,1,2,1,1]
110110010100 => [2,1,2,2,1,1,1,2]
110110011000 => [2,1,2,2,2,3]
110110100010 => [2,1,2,1,1,3,1,1]
110110100100 => [2,1,2,1,1,2,1,2]
110110101000 => [2,1,2,1,1,1,1,3]
110110110000 => [2,1,2,1,2,4]
110111000010 => [2,1,3,4,1,1]
110111000100 => [2,1,3,3,1,2]
110111001000 => [2,1,3,2,1,3]
110111010000 => [2,1,3,1,1,4]
110111100000 => [2,1,4,5]
111000101010 => [3,3,1,1,1,1,1,1]
111000101100 => [3,3,1,1,2,2]
111000110010 => [3,3,2,2,1,1]
111000110100 => [3,3,2,1,1,2]
111000111000 => [3,3,3,3]
111001001010 => [3,2,1,2,1,1,1,1]
111001001100 => [3,2,1,2,2,2]
111001010010 => [3,2,1,1,1,2,1,1]
111001010100 => [3,2,1,1,1,1,1,2]
111001011000 => [3,2,1,1,2,3]
111001100010 => [3,2,2,3,1,1]
111001100100 => [3,2,2,2,1,2]
111001101000 => [3,2,2,1,1,3]
111001110000 => [3,2,3,4]
111010001010 => [3,1,1,3,1,1,1,1]
111010001100 => [3,1,1,3,2,2]
111010010010 => [3,1,1,2,1,2,1,1]
111010010100 => [3,1,1,2,1,1,1,2]
111010011000 => [3,1,1,2,2,3]
111010100010 => [3,1,1,1,1,3,1,1]
111010100100 => [3,1,1,1,1,2,1,2]
111010101000 => [3,1,1,1,1,1,1,3]
111010110000 => [3,1,1,1,2,4]
111011000010 => [3,1,2,4,1,1]
111011000100 => [3,1,2,3,1,2]
111011001000 => [3,1,2,2,1,3]
111011010000 => [3,1,2,1,1,4]
111011100000 => [3,1,3,5]
111100001010 => [4,4,1,1,1,1]
111100001100 => [4,4,2,2]
111100010010 => [4,3,1,2,1,1]
111100010100 => [4,3,1,1,1,2]
111100011000 => [4,3,2,3]
111100100010 => [4,2,1,3,1,1]
111100100100 => [4,2,1,2,1,2]
111100101000 => [4,2,1,1,1,3]
111100110000 => [4,2,2,4]
111101000010 => [4,1,1,4,1,1]
111101000100 => [4,1,1,3,1,2]
111101001000 => [4,1,1,2,1,3]
111101010000 => [4,1,1,1,1,4]
111101100000 => [4,1,2,5]
111110000010 => [5,5,1,1]
111110000100 => [5,4,1,2]
111110001000 => [5,3,1,3]
111110010000 => [5,2,1,4]
111110100000 => [5,1,1,5]
111111000000 => [6,6]
10101010101100 => [1,1,1,1,1,1,1,1,1,1,2,2]
10101010110010 => [1,1,1,1,1,1,1,1,2,2,1,1]
10101010110100 => [1,1,1,1,1,1,1,1,2,1,1,2]
10101011001100 => [1,1,1,1,1,1,2,2,2,2]
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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 $w$.
Properties
surjectiveA map $\phi: A \rightarrow B$ is surjective if for any $b \in B$, there is an $a \in A$ such that $\phi(a) = b$., gradedA map $\phi: A \rightarrow B$ is graded for graded sets $A$ and $B$ if $\operatorname{deg}(a) = \operatorname{deg}(a')$ implies $\operatorname{deg}(\phi(a)) = \operatorname{deg}(\phi(a'))$ for all $a, a' \in A$.
Code
def delta(w):
    return Composition(w.delta())

Updated
May 12, 2019 at 09:21 by Christian Stump