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]
10101011010010 => [1,1,1,1,1,1,2,1,1,2,1,1]
10101011010100 => [1,1,1,1,1,1,2,1,1,1,1,2]
10101011011000 => [1,1,1,1,1,1,2,1,2,3]
10101011100010 => [1,1,1,1,1,1,3,3,1,1]
10101011100100 => [1,1,1,1,1,1,3,2,1,2]
10101100101100 => [1,1,1,1,2,2,1,1,2,2]
10101100110010 => [1,1,1,1,2,2,2,2,1,1]
10101100110100 => [1,1,1,1,2,2,2,1,1,2]
10101101001010 => [1,1,1,1,2,1,1,2,1,1,1,1]
10101101001100 => [1,1,1,1,2,1,1,2,2,2]
10101101010010 => [1,1,1,1,2,1,1,1,1,2,1,1]
10101101010100 => [1,1,1,1,2,1,1,1,1,1,1,2]
10101101011000 => [1,1,1,1,2,1,1,1,2,3]
10101101100010 => [1,1,1,1,2,1,2,3,1,1]
10101101100100 => [1,1,1,1,2,1,2,2,1,2]
10101110001010 => [1,1,1,1,3,3,1,1,1,1]
10101110001100 => [1,1,1,1,3,3,2,2]
10101110010010 => [1,1,1,1,3,2,1,2,1,1]
10101110100010 => [1,1,1,1,3,1,1,3,1,1]
10101110100100 => [1,1,1,1,3,1,1,2,1,2]
10101111000010 => [1,1,1,1,4,4,1,1]
10101111000100 => [1,1,1,1,4,3,1,2]
10101111001000 => [1,1,1,1,4,2,1,3]
10101111010000 => [1,1,1,1,4,1,1,4]
10101111100000 => [1,1,1,1,5,5]
10110010101010 => [1,1,2,2,1,1,1,1,1,1,1,1]
10110010101100 => [1,1,2,2,1,1,1,1,2,2]
10110010110100 => [1,1,2,2,1,1,2,1,1,2]
10110011001010 => [1,1,2,2,2,2,1,1,1,1]
10110011100010 => [1,1,2,2,3,3,1,1]
10110011110000 => [1,1,2,2,4,4]
10110100101010 => [1,1,2,1,1,2,1,1,1,1,1,1]
10110100101100 => [1,1,2,1,1,2,1,1,2,2]
10110100110100 => [1,1,2,1,1,2,2,1,1,2]
10110101001010 => [1,1,2,1,1,1,1,2,1,1,1,1]
10110101001100 => [1,1,2,1,1,1,1,2,2,2]
10110101010100 => [1,1,2,1,1,1,1,1,1,1,1,2]
10110101011000 => [1,1,2,1,1,1,1,1,2,3]
10110110001010 => [1,1,2,1,2,3,1,1,1,1]
10110110110000 => [1,1,2,1,2,1,2,4]
10110111000010 => [1,1,2,1,3,4,1,1]
10110111001000 => [1,1,2,1,3,2,1,3]
10110111010000 => [1,1,2,1,3,1,1,4]
10110111100000 => [1,1,2,1,4,5]
10111000101010 => [1,1,3,3,1,1,1,1,1,1]
10111000111000 => [1,1,3,3,3,3]
10111001001010 => [1,1,3,2,1,2,1,1,1,1]
10111010001010 => [1,1,3,1,1,3,1,1,1,1]
10111011010000 => [1,1,3,1,2,1,1,4]
10111011100000 => [1,1,3,1,3,5]
10111100001010 => [1,1,4,4,1,1,1,1]
10111100001100 => [1,1,4,4,2,2]
10111100010010 => [1,1,4,3,1,2,1,1]
10111100011000 => [1,1,4,3,2,3]
10111100100010 => [1,1,4,2,1,3,1,1]
10111100110000 => [1,1,4,2,2,4]
10111101000010 => [1,1,4,1,1,4,1,1]
10111101001000 => [1,1,4,1,1,2,1,3]
10111101010000 => [1,1,4,1,1,1,1,4]
10111101100000 => [1,1,4,1,2,5]
10111110000010 => [1,1,5,5,1,1]
10111110000100 => [1,1,5,4,1,2]
10111110001000 => [1,1,5,3,1,3]
10111110010000 => [1,1,5,2,1,4]
10111110100000 => [1,1,5,1,1,5]
10111111000000 => [1,1,6,6]
11001010101010 => [2,2,1,1,1,1,1,1,1,1,1,1]
11001010101100 => [2,2,1,1,1,1,1,1,2,2]
11001010110010 => [2,2,1,1,1,1,2,2,1,1]
11001010110100 => [2,2,1,1,1,1,2,1,1,2]
11001010111000 => [2,2,1,1,1,1,3,3]
11001011001010 => [2,2,1,1,2,2,1,1,1,1]
11001011001100 => [2,2,1,1,2,2,2,2]
11001011010010 => [2,2,1,1,2,1,1,2,1,1]
11001011010100 => [2,2,1,1,2,1,1,1,1,2]
11001011011000 => [2,2,1,1,2,1,2,3]
11001011100010 => [2,2,1,1,3,3,1,1]
11001011110000 => [2,2,1,1,4,4]
11001100101010 => [2,2,2,2,1,1,1,1,1,1]
11001100101100 => [2,2,2,2,1,1,2,2]
11001100110100 => [2,2,2,2,2,1,1,2]
11001101010010 => [2,2,2,1,1,1,1,2,1,1]
11001101010100 => [2,2,2,1,1,1,1,1,1,2]
11001101101000 => [2,2,2,1,2,1,1,3]
11001101110000 => [2,2,2,1,3,4]
11001110001010 => [2,2,3,3,1,1,1,1]
11001110011000 => [2,2,3,2,2,3]
11001110100100 => [2,2,3,1,1,2,1,2]
11001110101000 => [2,2,3,1,1,1,1,3]
11001110110000 => [2,2,3,1,2,4]
11001111000010 => [2,2,4,4,1,1]
11001111000100 => [2,2,4,3,1,2]
11001111001000 => [2,2,4,2,1,3]
11001111010000 => [2,2,4,1,1,4]
11001111100000 => [2,2,5,5]
11010010101010 => [2,1,1,2,1,1,1,1,1,1,1,1]
11010010101100 => [2,1,1,2,1,1,1,1,2,2]
11010010110100 => [2,1,1,2,1,1,2,1,1,2]
11010011100010 => [2,1,1,2,3,3,1,1]
11010100101010 => [2,1,1,1,1,2,1,1,1,1,1,1]
11010100101100 => [2,1,1,1,1,2,1,1,2,2]
11010100110100 => [2,1,1,1,1,2,2,1,1,2]
11010101001010 => [2,1,1,1,1,1,1,2,1,1,1,1]
11010101001100 => [2,1,1,1,1,1,1,2,2,2]
11010101010010 => [2,1,1,1,1,1,1,1,1,2,1,1]
11010101010100 => [2,1,1,1,1,1,1,1,1,1,1,2]
11010101011000 => [2,1,1,1,1,1,1,1,2,3]
11010101100010 => [2,1,1,1,1,1,2,3,1,1]
11010101100100 => [2,1,1,1,1,1,2,2,1,2]
11010101101000 => [2,1,1,1,1,1,2,1,1,3]
11010101110000 => [2,1,1,1,1,1,3,4]
11010110001010 => [2,1,1,1,2,3,1,1,1,1]
11010110010100 => [2,1,1,1,2,2,1,1,1,2]
11010110011000 => [2,1,1,1,2,2,2,3]
11010110100100 => [2,1,1,1,2,1,1,2,1,2]
11010110101000 => [2,1,1,1,2,1,1,1,1,3]
11010110110000 => [2,1,1,1,2,1,2,4]
11010111010000 => [2,1,1,1,3,1,1,4]
11011000101010 => [2,1,2,3,1,1,1,1,1,1]
11011001010100 => [2,1,2,2,1,1,1,1,1,2]
11011010001100 => [2,1,2,1,1,3,2,2]
11011010010100 => [2,1,2,1,1,2,1,1,1,2]
11011010101000 => [2,1,2,1,1,1,1,1,1,3]
11011010110000 => [2,1,2,1,1,1,2,4]
11011011000010 => [2,1,2,1,2,4,1,1]
11011011010000 => [2,1,2,1,2,1,1,4]
11011100001010 => [2,1,3,4,1,1,1,1]
11011100001100 => [2,1,3,4,2,2]
11011110000010 => [2,1,4,5,1,1]
11011110000100 => [2,1,4,4,1,2]
11011110010000 => [2,1,4,2,1,4]
11011110100000 => [2,1,4,1,1,5]
11011111000000 => [2,1,5,6]
11100010101010 => [3,3,1,1,1,1,1,1,1,1]
11100010101100 => [3,3,1,1,1,1,2,2]
11100010110100 => [3,3,1,1,2,1,1,2]
11100011100010 => [3,3,3,3,1,1]
11100011110000 => [3,3,4,4]
11100100101010 => [3,2,1,2,1,1,1,1,1,1]
11100100101100 => [3,2,1,2,1,1,2,2]
11100100110100 => [3,2,1,2,2,1,1,2]
11100101001010 => [3,2,1,1,1,2,1,1,1,1]
11100101010010 => [3,2,1,1,1,1,1,2,1,1]
11100101010100 => [3,2,1,1,1,1,1,1,1,2]
11100101100100 => [3,2,1,1,2,2,1,2]
11100110001100 => [3,2,2,3,2,2]
11100110010100 => [3,2,2,2,1,1,1,2]
11100110101000 => [3,2,2,1,1,1,1,3]
11100111000010 => [3,2,3,4,1,1]
11101000101010 => [3,1,1,3,1,1,1,1,1,1]
11101000101100 => [3,1,1,3,1,1,2,2]
11101001001100 => [3,1,1,2,1,2,2,2]
11101001010100 => [3,1,1,2,1,1,1,1,1,2]
11101001100010 => [3,1,1,2,2,3,1,1]
11101001100100 => [3,1,1,2,2,2,1,2]
11101010001010 => [3,1,1,1,1,3,1,1,1,1]
11101010001100 => [3,1,1,1,1,3,2,2]
11101010010100 => [3,1,1,1,1,2,1,1,1,2]
11101010011000 => [3,1,1,1,1,2,2,3]
11101010100010 => [3,1,1,1,1,1,1,3,1,1]
11101010100100 => [3,1,1,1,1,1,1,2,1,2]
11101010101000 => [3,1,1,1,1,1,1,1,1,3]
11101010110000 => [3,1,1,1,1,1,2,4]
11101011000010 => [3,1,1,1,2,4,1,1]
11101011001000 => [3,1,1,1,2,2,1,3]
11101011010000 => [3,1,1,1,2,1,1,4]
11101011100000 => [3,1,1,1,3,5]
11101100001100 => [3,1,2,4,2,2]
11101101000010 => [3,1,2,1,1,4,1,1]
11101101000100 => [3,1,2,1,1,3,1,2]
11101110000010 => [3,1,3,5,1,1]
11101110000100 => [3,1,3,4,1,2]
11101110010000 => [3,1,3,2,1,4]
11101110100000 => [3,1,3,1,1,5]
11101111000000 => [3,1,4,6]
11110000101100 => [4,4,1,1,2,2]
11110000110010 => [4,4,2,2,1,1]
11110000111000 => [4,4,3,3]
11110001001100 => [4,3,1,2,2,2]
11110001100010 => [4,3,2,3,1,1]
11110010001100 => [4,2,1,3,2,2]
11110010010010 => [4,2,1,2,1,2,1,1]
11110010100100 => [4,2,1,1,1,2,1,2]
11110010101000 => [4,2,1,1,1,1,1,3]
11110011000010 => [4,2,2,4,1,1]
11110011000100 => [4,2,2,3,1,2]
11110100001100 => [4,1,1,4,2,2]
11110100100010 => [4,1,1,2,1,3,1,1]
11110100100100 => [4,1,1,2,1,2,1,2]
11110101000010 => [4,1,1,1,1,4,1,1]
11110101000100 => [4,1,1,1,1,3,1,2]
11110101010000 => [4,1,1,1,1,1,1,4]
11110110000010 => [4,1,2,5,1,1]
11110110000100 => [4,1,2,4,1,2]
11110110001000 => [4,1,2,3,1,3]
11110110010000 => [4,1,2,2,1,4]
11110110100000 => [4,1,2,1,1,5]
11110111000000 => [4,1,3,6]
11111000001100 => [5,5,2,2]
11111000010010 => [5,4,1,2,1,1]
11111000010100 => [5,4,1,1,1,2]
11111000100010 => [5,3,1,3,1,1]
11111000100100 => [5,3,1,2,1,2]
11111000110000 => [5,3,2,4]
11111001000010 => [5,2,1,4,1,1]
11111001000100 => [5,2,1,3,1,2]
11111001001000 => [5,2,1,2,1,3]
11111001100000 => [5,2,2,5]
11111010000010 => [5,1,1,5,1,1]
11111010000100 => [5,1,1,4,1,2]
11111010001000 => [5,1,1,3,1,3]
11111010010000 => [5,1,1,2,1,4]
11111010100000 => [5,1,1,1,1,5]
11111011000000 => [5,1,2,6]
11111100000010 => [6,6,1,1]
11111100000100 => [6,5,1,2]
11111100001000 => [6,4,1,3]
11111100010000 => [6,3,1,4]
11111100100000 => [6,2,1,5]
11111101000000 => [6,1,1,6]
11111110000000 => [7,7]
1010101010101100 => [1,1,1,1,1,1,1,1,1,1,1,1,2,2]
1010101010110100 => [1,1,1,1,1,1,1,1,1,1,2,1,1,2]
1010101011001100 => [1,1,1,1,1,1,1,1,2,2,2,2]
1010101011010100 => [1,1,1,1,1,1,1,1,2,1,1,1,1,2]
1010101011100100 => [1,1,1,1,1,1,1,1,3,2,1,2]
1010101100101100 => [1,1,1,1,1,1,2,2,1,1,2,2]
1010101111000100 => [1,1,1,1,1,1,4,3,1,2]
1010110010101100 => [1,1,1,1,2,2,1,1,1,1,2,2]
1010110010110100 => [1,1,1,1,2,2,1,1,2,1,1,2]
1010110101011000 => [1,1,1,1,2,1,1,1,1,1,2,3]
1010110111000010 => [1,1,1,1,2,1,3,4,1,1]
1010111000101010 => [1,1,1,1,3,3,1,1,1,1,1,1]
1010111010100010 => [1,1,1,1,3,1,1,1,1,3,1,1]
1010111011000010 => [1,1,1,1,3,1,2,4,1,1]
1010111100010010 => [1,1,1,1,4,3,1,2,1,1]
1010111100100010 => [1,1,1,1,4,2,1,3,1,1]
1010111101000010 => [1,1,1,1,4,1,1,4,1,1]
1010111110000010 => [1,1,1,1,5,5,1,1]
1010111110010000 => [1,1,1,1,5,2,1,4]
1010111110100000 => [1,1,1,1,5,1,1,5]
1010111111000000 => [1,1,1,1,6,6]
1011001010101100 => [1,1,2,2,1,1,1,1,1,1,2,2]
1011001010110100 => [1,1,2,2,1,1,1,1,2,1,1,2]
1011001111100000 => [1,1,2,2,5,5]
1011010010101100 => [1,1,2,1,1,2,1,1,1,1,2,2]
1011010010110100 => [1,1,2,1,1,2,1,1,2,1,1,2]
1011010101011000 => [1,1,2,1,1,1,1,1,1,1,2,3]
1011011011010000 => [1,1,2,1,2,1,2,1,1,4]
1011011100001010 => [1,1,2,1,3,4,1,1,1,1]
1011011101001000 => [1,1,2,1,3,1,1,2,1,3]
1011100010101010 => [1,1,3,3,1,1,1,1,1,1,1,1]
1011100011110000 => [1,1,3,3,4,4]
1011101001101000 => [1,1,3,1,1,2,2,1,1,3]
1011101010001010 => [1,1,3,1,1,1,1,3,1,1,1,1]
1011101100001010 => [1,1,3,1,2,4,1,1,1,1]
1011101101000100 => [1,1,3,1,2,1,1,3,1,2]
1011110001001010 => [1,1,4,3,1,2,1,1,1,1]
1011110010001010 => [1,1,4,2,1,3,1,1,1,1]
1011110100001010 => [1,1,4,1,1,4,1,1,1,1]
1011110100100100 => [1,1,4,1,1,2,1,2,1,2]
1011110111000000 => [1,1,4,1,3,6]
1011111000001010 => [1,1,5,5,1,1,1,1]
1011111000001100 => [1,1,5,5,2,2]
1011111010100000 => [1,1,5,1,1,1,1,5]
1011111011000000 => [1,1,5,1,2,6]
1011111100000010 => [1,1,6,6,1,1]
1011111100010000 => [1,1,6,3,1,4]
1011111100100000 => [1,1,6,2,1,5]
1011111101000000 => [1,1,6,1,1,6]
1011111110000000 => [1,1,7,7]
1100101010101010 => [2,2,1,1,1,1,1,1,1,1,1,1,1,1]
1100101010101100 => [2,2,1,1,1,1,1,1,1,1,2,2]
1100101010110010 => [2,2,1,1,1,1,1,1,2,2,1,1]
1100101010110100 => [2,2,1,1,1,1,1,1,2,1,1,2]
1100101010111000 => [2,2,1,1,1,1,1,1,3,3]
1100101011001010 => [2,2,1,1,1,1,2,2,1,1,1,1]
1100101011010100 => [2,2,1,1,1,1,2,1,1,1,1,2]
1100101101010100 => [2,2,1,1,2,1,1,1,1,1,1,2]
1100110011001100 => [2,2,2,2,2,2,2,2]
1100110011101000 => [2,2,2,2,3,1,1,3]
1100110011110000 => [2,2,2,2,4,4]
1100110101010100 => [2,2,2,1,1,1,1,1,1,1,1,2]
1100111000101010 => [2,2,3,3,1,1,1,1,1,1]
1100111010001100 => [2,2,3,1,1,3,2,2]
1100111011001000 => [2,2,3,1,2,2,1,3]
1100111011100000 => [2,2,3,1,3,5]
1100111100001100 => [2,2,4,4,2,2]
1100111101010000 => [2,2,4,1,1,1,1,4]
1100111101100000 => [2,2,4,1,2,5]
1100111110000010 => [2,2,5,5,1,1]
1100111110000100 => [2,2,5,4,1,2]
1100111110001000 => [2,2,5,3,1,3]
1100111110010000 => [2,2,5,2,1,4]
1100111110100000 => [2,2,5,1,1,5]
1100111111000000 => [2,2,6,6]
1101001010101100 => [2,1,1,2,1,1,1,1,1,1,2,2]
1101001010110100 => [2,1,1,2,1,1,1,1,2,1,1,2]
1101001101101000 => [2,1,1,2,2,1,2,1,1,3]
1101001110100100 => [2,1,1,2,3,1,1,2,1,2]
1101010100101010 => [2,1,1,1,1,1,1,2,1,1,1,1,1,1]
1101010100101100 => [2,1,1,1,1,1,1,2,1,1,2,2]
1101010101001010 => [2,1,1,1,1,1,1,1,1,2,1,1,1,1]
1101010101001100 => [2,1,1,1,1,1,1,1,1,2,2,2]
1101010101010010 => [2,1,1,1,1,1,1,1,1,1,1,2,1,1]
1101010101010100 => [2,1,1,1,1,1,1,1,1,1,1,1,1,2]
1101010101011000 => [2,1,1,1,1,1,1,1,1,1,2,3]
1101010101100100 => [2,1,1,1,1,1,1,1,2,2,1,2]
1101010101101000 => [2,1,1,1,1,1,1,1,2,1,1,3]
1101010101110000 => [2,1,1,1,1,1,1,1,3,4]
1101010110010100 => [2,1,1,1,1,1,2,2,1,1,1,2]
1101010110101000 => [2,1,1,1,1,1,2,1,1,1,1,3]
1101011000101010 => [2,1,1,1,2,3,1,1,1,1,1,1]
1101011001010100 => [2,1,1,1,2,2,1,1,1,1,1,2]
1101100010101010 => [2,1,2,3,1,1,1,1,1,1,1,1]
1101100101010100 => [2,1,2,2,1,1,1,1,1,1,1,2]
1101101000110100 => [2,1,2,1,1,3,2,1,1,2]
1101101101000010 => [2,1,2,1,2,1,1,4,1,1]
1101110100100010 => [2,1,3,1,1,2,1,3,1,1]
1101111000001100 => [2,1,4,5,2,2]
1101111100100000 => [2,1,5,2,1,5]
1101111101000000 => [2,1,5,1,1,6]
1101111110000000 => [2,1,6,7]
1110001010101010 => [3,3,1,1,1,1,1,1,1,1,1,1]
1110001010101100 => [3,3,1,1,1,1,1,1,2,2]
1110001010110100 => [3,3,1,1,1,1,2,1,1,2]
1110001111000010 => [3,3,4,4,1,1]
1110010101001010 => [3,2,1,1,1,1,1,2,1,1,1,1]
1110010101010010 => [3,2,1,1,1,1,1,1,1,2,1,1]
1110010101010100 => [3,2,1,1,1,1,1,1,1,1,1,2]
1110011001010100 => [3,2,2,2,1,1,1,1,1,2]
1110100011001100 => [3,1,1,3,2,2,2,2]
1110100011101000 => [3,1,1,3,3,1,1,3]
1110100011110000 => [3,1,1,3,4,4]
1110100100110100 => [3,1,1,2,1,2,2,1,1,2]
1110100101010100 => [3,1,1,2,1,1,1,1,1,1,1,2]
1110100110100010 => [3,1,1,2,2,1,1,3,1,1]
1110101000101010 => [3,1,1,1,1,3,1,1,1,1,1,1]
1110101001010100 => [3,1,1,1,1,2,1,1,1,1,1,2]
1110101010001010 => [3,1,1,1,1,1,1,3,1,1,1,1]
1110101010001100 => [3,1,1,1,1,1,1,3,2,2]
1110101010100010 => [3,1,1,1,1,1,1,1,1,3,1,1]
1110101010100100 => [3,1,1,1,1,1,1,1,1,2,1,2]
1110101010101000 => [3,1,1,1,1,1,1,1,1,1,1,3]
1110101010110000 => [3,1,1,1,1,1,1,1,2,4]
1110110010001100 => [3,1,2,2,1,3,2,2]
1110110011001000 => [3,1,2,2,2,2,1,3]
1110110011100000 => [3,1,2,2,3,5]
1110110100010010 => [3,1,2,1,1,3,1,2,1,1]
1110111000001100 => [3,1,3,5,2,2]
1110111001010000 => [3,1,3,2,1,1,1,4]
1110111001100000 => [3,1,3,2,2,5]
1110111100000010 => [3,1,4,6,1,1]
1110111100001000 => [3,1,4,4,1,3]
1110111100010000 => [3,1,4,3,1,4]
1110111100100000 => [3,1,4,2,1,5]
1110111101000000 => [3,1,4,1,1,6]
1110111110000000 => [3,1,5,7]
1111000011001100 => [4,4,2,2,2,2]
1111000011101000 => [4,4,3,1,1,3]
1111000011110000 => [4,4,4,4]
1111001010101000 => [4,2,1,1,1,1,1,1,1,3]
1111010010010010 => [4,1,1,2,1,2,1,2,1,1]
1111010100001100 => [4,1,1,1,1,4,2,2]
1111010110000010 => [4,1,1,1,2,5,1,1]
1111010110001000 => [4,1,1,1,2,3,1,3]
1111010110100000 => [4,1,1,1,2,1,1,5]
1111010111000000 => [4,1,1,1,3,6]
1111011000001100 => [4,1,2,5,2,2]
1111011010010000 => [4,1,2,1,1,2,1,4]
1111011011000000 => [4,1,2,1,2,6]
1111011100000010 => [4,1,3,6,1,1]
1111011100000100 => [4,1,3,5,1,2]
1111011100001000 => [4,1,3,4,1,3]
1111011100010000 => [4,1,3,3,1,4]
1111011101000000 => [4,1,3,1,1,6]
1111011110000000 => [4,1,4,7]
1111100010001100 => [5,3,1,3,2,2]
1111100011000010 => [5,3,2,4,1,1]
1111100011001000 => [5,3,2,2,1,3]
1111100011100000 => [5,3,3,5]
1111100100001100 => [5,2,1,4,2,2]
1111100110000010 => [5,2,2,5,1,1]
1111100110001000 => [5,2,2,3,1,3]
1111100111000000 => [5,2,3,6]
1111101000001100 => [5,1,1,5,2,2]
1111101010000010 => [5,1,1,1,1,5,1,1]
1111101010000100 => [5,1,1,1,1,4,1,2]
1111101010100000 => [5,1,1,1,1,1,1,5]
1111101011000000 => [5,1,1,1,2,6]
1111101100000010 => [5,1,2,6,1,1]
1111101100000100 => [5,1,2,5,1,2]
1111101100001000 => [5,1,2,4,1,3]
1111101100010000 => [5,1,2,3,1,4]
1111101100100000 => [5,1,2,2,1,5]
1111101101000000 => [5,1,2,1,1,6]
1111101110000000 => [5,1,3,7]
1111110000001100 => [6,6,2,2]
1111110001000010 => [6,3,1,4,1,1]
1111110001000100 => [6,3,1,3,1,2]
1111110001010000 => [6,3,1,1,1,4]
1111110001100000 => [6,3,2,5]
1111110010000010 => [6,2,1,5,1,1]
1111110010000100 => [6,2,1,4,1,2]
1111110010010000 => [6,2,1,2,1,4]
1111110010100000 => [6,2,1,1,1,5]
1111110011000000 => [6,2,2,6]
1111110100000010 => [6,1,1,6,1,1]
1111110100000100 => [6,1,1,5,1,2]
1111110100010000 => [6,1,1,3,1,4]
1111110100100000 => [6,1,1,2,1,5]
1111110101000000 => [6,1,1,1,1,6]
1111110110000000 => [6,1,2,7]
1111111000000010 => [7,7,1,1]
1111111000000100 => [7,6,1,2]
1111111000001000 => [7,5,1,3]
1111111000010000 => [7,4,1,4]
1111111000100000 => [7,3,1,5]
1111111001000000 => [7,2,1,6]
1111111010000000 => [7,1,1,7]
1111111100000000 => [8,8]
1111111111 => [10]
1111111110 => [9,1]
1111111101 => [8,1,1]
1111111011 => [7,1,2]
1111111010 => [7,1,1,1]
1111110110 => [6,1,2,1]
1111110010 => [6,2,1,1]
1111101110 => [5,1,3,1]
1111101011 => [5,1,1,1,2]
1111101010 => [5,1,1,1,1,1]
1111100100 => [5,2,1,2]
1111100010 => [5,3,1,1]
1111100001 => [5,4,1]
1111011110 => [4,1,4,1]
1111010010 => [4,1,1,2,1,1]
1111000001 => [4,5,1]
1110111110 => [3,1,5,1]
1110111011 => [3,1,3,1,2]
1110110100 => [3,1,2,1,1,2]
1110101111 => [3,1,1,1,4]
1110101010 => [3,1,1,1,1,1,1,1]
1110100001 => [3,1,1,4,1]
1110011110 => [3,2,4,1]
1110011100 => [3,2,3,2]
1110010110 => [3,2,1,1,2,1]
1110010011 => [3,2,1,2,2]
1110010001 => [3,2,1,3,1]
1110010000 => [3,2,1,4]
1110001001 => [3,3,1,2,1]
1110001000 => [3,3,1,3]
1110000101 => [3,4,1,1,1]
1110000011 => [3,5,2]
1110000010 => [3,5,1,1]
1110000001 => [3,6,1]
1101111110 => [2,1,6,1]
1101111101 => [2,1,5,1,1]
1101111001 => [2,1,4,2,1]
1101110001 => [2,1,3,3,1]
1101100001 => [2,1,2,4,1]
1101010001 => [2,1,1,1,1,3,1]
1101010000 => [2,1,1,1,1,4]
1101001110 => [2,1,1,2,3,1]
1101001001 => [2,1,1,2,1,2,1]
1101001000 => [2,1,1,2,1,3]
1101000101 => [2,1,1,3,1,1,1]
1101000011 => [2,1,1,4,2]
1101000010 => [2,1,1,4,1,1]
1101000001 => [2,1,1,5,1]
1100111101 => [2,2,4,1,1]
1100111001 => [2,2,3,2,1]
1100110001 => [2,2,2,3,1]
1100101001 => [2,2,1,1,1,2,1]
1100100110 => [2,2,1,2,2,1]
1100100101 => [2,2,1,2,1,1,1]
1100100100 => [2,2,1,2,1,2]
1100100011 => [2,2,1,3,2]
1100100001 => [2,2,1,4,1]
1100011111 => [2,3,5]
1100011101 => [2,3,3,1,1]
1100011100 => [2,3,3,2]
1100011010 => [2,3,2,1,1,1]
1100011001 => [2,3,2,2,1]
1100010110 => [2,3,1,1,2,1]
1100010101 => [2,3,1,1,1,1,1]
1100010011 => [2,3,1,2,2]
1100010010 => [2,3,1,2,1,1]
1100010001 => [2,3,1,3,1]
1100010000 => [2,3,1,4]
1100001111 => [2,4,4]
1100001101 => [2,4,2,1,1]
1100001011 => [2,4,1,1,2]
1100001001 => [2,4,1,2,1]
1100001000 => [2,4,1,3]
1100000111 => [2,5,3]
1100000110 => [2,5,2,1]
1100000101 => [2,5,1,1,1]
1100000011 => [2,6,2]
1100000010 => [2,6,1,1]
1100000001 => [2,7,1]
1100000000 => [2,8]
1011111111 => [1,1,8]
1011111110 => [1,1,7,1]
1011111101 => [1,1,6,1,1]
1011111100 => [1,1,6,2]
1011111011 => [1,1,5,1,2]
1011111010 => [1,1,5,1,1,1]
1011111000 => [1,1,5,3]
1011110100 => [1,1,4,1,1,2]
1011101111 => [1,1,3,1,4]
1011101110 => [1,1,3,1,3,1]
1011101010 => [1,1,3,1,1,1,1,1]
1011100110 => [1,1,3,2,2,1]
1011100001 => [1,1,3,4,1]
1011100000 => [1,1,3,5]
1011011111 => [1,1,2,1,5]
1011011100 => [1,1,2,1,3,2]
1011010110 => [1,1,2,1,1,1,2,1]
1011010011 => [1,1,2,1,1,2,2]
1011010001 => [1,1,2,1,1,3,1]
1011010000 => [1,1,2,1,1,4]
1011001001 => [1,1,2,2,1,2,1]
1011001000 => [1,1,2,2,1,3]
1011000101 => [1,1,2,3,1,1,1]
1011000011 => [1,1,2,4,2]
1011000001 => [1,1,2,5,1]
1011000000 => [1,1,2,6]
1010111111 => [1,1,1,1,6]
1010111110 => [1,1,1,1,5,1]
1010111010 => [1,1,1,1,3,1,1,1]
1010110001 => [1,1,1,1,2,3,1]
1010101111 => [1,1,1,1,1,1,4]
1010101110 => [1,1,1,1,1,1,3,1]
1010101011 => [1,1,1,1,1,1,1,1,2]
1010101001 => [1,1,1,1,1,1,1,2,1]
1010101000 => [1,1,1,1,1,1,1,3]
1010100110 => [1,1,1,1,1,2,2,1]
1010100101 => [1,1,1,1,1,2,1,1,1]
1010100100 => [1,1,1,1,1,2,1,2]
1010100011 => [1,1,1,1,1,3,2]
1010100000 => [1,1,1,1,1,5]
1010011111 => [1,1,1,2,5]
1010011101 => [1,1,1,2,3,1,1]
1010011100 => [1,1,1,2,3,2]
1010011010 => [1,1,1,2,2,1,1,1]
1010011001 => [1,1,1,2,2,2,1]
1010011000 => [1,1,1,2,2,3]
1010010111 => [1,1,1,2,1,1,3]
1010010110 => [1,1,1,2,1,1,2,1]
1010010101 => [1,1,1,2,1,1,1,1,1]
1010010011 => [1,1,1,2,1,2,2]
1010010000 => [1,1,1,2,1,4]
1010001111 => [1,1,1,3,4]
1010001110 => [1,1,1,3,3,1]
1010001101 => [1,1,1,3,2,1,1]
1010001011 => [1,1,1,3,1,1,2]
1010001000 => [1,1,1,3,1,3]
1010000111 => [1,1,1,4,3]
1010000101 => [1,1,1,4,1,1,1]
1010000011 => [1,1,1,5,2]
1010000010 => [1,1,1,5,1,1]
1010000001 => [1,1,1,6,1]
1010000000 => [1,1,1,7]
1001111111 => [1,2,7]
1001111110 => [1,2,6,1]
1001111101 => [1,2,5,1,1]
1001111100 => [1,2,5,2]
1001111000 => [1,2,4,3]
1001110110 => [1,2,3,1,2,1]
1001110100 => [1,2,3,1,1,2]
1001110011 => [1,2,3,2,2]
1001110001 => [1,2,3,3,1]
1001101100 => [1,2,2,1,2,2]
1001101010 => [1,2,2,1,1,1,1,1]
1001101001 => [1,2,2,1,1,2,1]
1001101000 => [1,2,2,1,1,3]
1001100110 => [1,2,2,2,2,1]
1001100101 => [1,2,2,2,1,1,1]
1001100011 => [1,2,2,3,2]
1001011110 => [1,2,1,1,4,1]
1001011100 => [1,2,1,1,3,2]
1001011011 => [1,2,1,1,2,1,2]
1001011010 => [1,2,1,1,2,1,1,1]
1001011001 => [1,2,1,1,2,2,1]
1001010110 => [1,2,1,1,1,1,2,1]
1001010101 => [1,2,1,1,1,1,1,1,1]
1001010100 => [1,2,1,1,1,1,1,2]
1001010011 => [1,2,1,1,1,2,2]
1001001111 => [1,2,1,2,4]
1001001110 => [1,2,1,2,3,1]
1001001101 => [1,2,1,2,2,1,1]
1001001011 => [1,2,1,2,1,1,2]
1001001010 => [1,2,1,2,1,1,1,1]
1001001000 => [1,2,1,2,1,3]
1001000111 => [1,2,1,3,3]
1001000000 => [1,2,1,6]
1000111110 => [1,3,5,1]
1000111101 => [1,3,4,1,1]
1000111100 => [1,3,4,2]
1000111010 => [1,3,3,1,1,1]
1000111001 => [1,3,3,2,1]
1000111000 => [1,3,3,3]
1000110110 => [1,3,2,1,2,1]
1000110101 => [1,3,2,1,1,1,1]
1000110011 => [1,3,2,2,2]
1000101110 => [1,3,1,1,3,1]
1000101101 => [1,3,1,1,2,1,1]
1000101100 => [1,3,1,1,2,2]
1000101011 => [1,3,1,1,1,1,2]
1000100111 => [1,3,1,2,3]
1000100110 => [1,3,1,2,2,1]
1000100101 => [1,3,1,2,1,1,1]
1000100011 => [1,3,1,3,2]
1000011110 => [1,4,4,1]
1000011101 => [1,4,3,1,1]
1000011011 => [1,4,2,1,2]
1000010111 => [1,4,1,1,3]
1000010110 => [1,4,1,1,2,1]
1000010001 => [1,4,1,3,1]
1000010000 => [1,4,1,4]
1000001111 => [1,5,4]
1000001110 => [1,5,3,1]
1000001101 => [1,5,2,1,1]
1000001010 => [1,5,1,1,1,1]
1000001000 => [1,5,1,3]
1000000110 => [1,6,2,1]
1000000101 => [1,6,1,1,1]
1000000100 => [1,6,1,2]
1000000011 => [1,7,2]
1000000010 => [1,7,1,1]
1000000001 => [1,8,1]
1000000000 => [1,9]
10000000000 => [1,10]
10000000010 => [1,8,1,1]
10000000110 => [1,7,2,1]
10000001110 => [1,6,3,1]
10000011110 => [1,5,4,1]
10000111110 => [1,4,5,1]
10001111110 => [1,3,6,1]
10011111110 => [1,2,7,1]
10111111110 => [1,1,8,1]
11111111110 => [10,1]
10000000100 => [1,7,1,2]
10000001010 => [1,6,1,1,1,1]
10000010110 => [1,5,1,1,2,1]
10000101110 => [1,4,1,1,3,1]
100000111110 => [1,5,5,1]
10001011110 => [1,3,1,1,4,1]
10010111110 => [1,2,1,1,5,1]
10101111110 => [1,1,1,1,6,1]
11011111110 => [2,1,7,1]
101111111110 => [1,1,9,1]
100001011110 => [1,4,1,1,4,1]
100101111110 => [1,2,1,1,6,1]
11101111110 => [3,1,6,1]
10000010000 => [1,5,1,4]
10000100010 => [1,4,1,3,1,1]
100010011110 => [1,3,1,2,4,1]
100001101110 => [1,4,2,1,3,1]
10101011110 => [1,1,1,1,1,1,4,1]
10111011110 => [1,1,3,1,4,1]
11110111110 => [4,1,5,1]
111011111110 => [3,1,7,1]
10000100000 => [1,4,1,5]
10001000010 => [1,3,1,4,1,1]
10000100100 => [1,4,1,2,1,2]
100001000110 => [1,4,1,3,2,1]
10001001010 => [1,3,1,2,1,1,1,1]
100100011110 => [1,2,1,3,4,1]
100010101110 => [1,3,1,1,1,1,3,1]
100001110110 => [1,4,3,1,2,1]
10101101110 => [1,1,1,1,2,1,3,1]
101010111110 => [1,1,1,1,1,1,5,1]
100111011110 => [1,2,3,1,4,1]
11100111110 => [3,2,5,1]
11011011110 => [2,1,2,1,4,1]
10111101110 => [1,1,4,1,3,1]
11111011110 => [5,1,4,1]
100000100000 => [1,5,1,5]
10001000000 => [1,3,1,6]
10001000100 => [1,3,1,3,1,2]
10000101000 => [1,4,1,1,1,3]
10010001010 => [1,2,1,3,1,1,1,1]
10001010010 => [1,3,1,1,1,2,1,1]
101000011110 => [1,1,1,4,4,1]
100100101110 => [1,2,1,2,1,1,3,1]
100011001110 => [1,3,2,2,3,1]
100010110110 => [1,3,1,1,2,1,2,1]
100001111010 => [1,4,4,1,1,1]
11010011110 => [2,1,1,2,4,1]
10110101110 => [1,1,2,1,1,1,3,1]
10101110110 => [1,1,1,1,3,1,2,1]
11101011110 => [3,1,1,1,4,1]
11011101110 => [2,1,3,1,3,1]
10111110110 => [1,1,5,1,2,1]
11111101110 => [6,1,3,1]
111110111110 => [5,1,5,1]
1000000100000 => [1,6,1,5]
1000001000010 => [1,5,1,4,1,1]
10010000100 => [1,2,1,4,1,2]
10001001000 => [1,3,1,2,1,3]
100010001010 => [1,3,1,3,1,1,1,1]
100001001100 => [1,4,1,2,2,2]
10010010010 => [1,2,1,2,1,2,1,1]
10001010100 => [1,3,1,1,1,1,1,2]
101000101110 => [1,1,1,3,1,1,3,1]
10010101010 => [1,2,1,1,1,1,1,1,1,1]
100101001110 => [1,2,1,1,1,2,3,1]
100100110110 => [1,2,1,2,2,1,2,1]
100011010110 => [1,3,2,1,1,1,2,1]
100010111010 => [1,3,1,1,3,1,1,1]
100001111100 => [1,4,5,2]
11001001110 => [2,2,1,2,3,1]
10101010110 => [1,1,1,1,1,1,1,1,2,1]
11010101110 => [2,1,1,1,1,1,3,1]
10110110110 => [1,1,2,1,2,1,2,1]
101101011110 => [1,1,2,1,1,1,4,1]
10101111010 => [1,1,1,1,4,1,1,1]
101011101110 => [1,1,1,1,3,1,3,1]
100111110110 => [1,2,5,1,2,1]
11110011110 => [4,2,4,1]
11101101110 => [3,1,2,1,3,1]
11011110110 => [2,1,4,1,2,1]
10111111010 => [1,1,6,1,1,1]
11111110110 => [7,1,2,1]
1000001000100 => [1,5,1,3,1,2]
10100000000 => [1,1,1,8]
11000000010 => [2,7,1,1]
10010001000 => [1,2,1,3,1,3]
10001010000 => [1,3,1,1,1,4]
10100010010 => [1,1,1,3,1,2,1,1]
10010100010 => [1,2,1,1,1,3,1,1]
10010010100 => [1,2,1,2,1,1,1,2]
11000100110 => [2,3,1,2,2,1]
110000101110 => [2,4,1,1,3,1]
10100101010 => [1,1,1,2,1,1,1,1,1,1]
101001001110 => [1,1,1,2,1,2,3,1]
101000110110 => [1,1,1,3,2,1,2,1]
100110001110 => [1,2,2,3,3,1]
100101010110 => [1,2,1,1,1,1,1,1,2,1]
100100111010 => [1,2,1,2,3,1,1,1]
100011100110 => [1,3,3,2,2,1]
100011011010 => [1,3,2,1,2,1,1,1]
100010111100 => [1,3,1,1,4,2]
10101011010 => [1,1,1,1,1,1,2,1,1,1]
11010110110 => [2,1,1,1,2,1,2,1]
10111010110 => [1,1,3,1,1,1,2,1]
10110111010 => [1,1,2,1,3,1,1,1]
11110101110 => [4,1,1,1,3,1]
11101110110 => [3,1,3,1,2,1]
10111111100 => [1,1,7,2]
11111111010 => [8,1,1,1]
111111101110 => [7,1,3,1]
=> []
0000111110 => [4,5,1]
0001111010 => [3,4,1,1,1]
0001111100 => [3,5,2]
0001110110 => [3,3,1,2,1]
0011110010 => [2,4,2,1,1]
0011110100 => [2,4,1,1,2]
0010111010 => [2,1,1,3,1,1,1]
0010111100 => [2,1,1,4,2]
0011111000 => [2,5,3]
0001101110 => [3,2,1,3,1]
0011101010 => [2,3,1,1,1,1,1]
0011101100 => [2,3,1,2,2]
0011100110 => [2,3,2,2,1]
0111100010 => [1,4,3,1,1]
0111100100 => [1,4,2,1,2]
0100111010 => [1,1,2,3,1,1,1]
0100111100 => [1,1,2,4,2]
0111101000 => [1,4,1,1,3]
0010110110 => [2,1,1,2,1,2,1]
0110110010 => [1,2,1,2,2,1,1]
0110110100 => [1,2,1,2,1,1,2]
0101101010 => [1,1,1,2,1,1,1,1,1]
0101101100 => [1,1,1,2,1,2,2]
0110111000 => [1,2,1,3,3]
0101110010 => [1,1,1,3,2,1,1]
0101110100 => [1,1,1,3,1,1,2]
0101111000 => [1,1,1,4,3]
0111110000 => [1,5,4]
0101010101 => [1,1,1,1,1,1,1,1,1,1]
0000011111 => [5,5]
0100001111 => [1,1,4,4]
0000110111 => [4,2,1,3]
0000101111 => [4,1,1,4]
0101000111 => [1,1,1,1,3,3]
0000111011 => [4,3,1,2]
0100011011 => [1,1,3,2,1,2]
0001101011 => [3,2,1,1,1,2]
0001011011 => [3,1,1,2,1,2]
0100010111 => [1,1,3,1,1,3]
0001100111 => [3,2,2,3]
0001001111 => [3,1,2,4]
0001010111 => [3,1,1,1,1,3]
0101010011 => [1,1,1,1,1,1,2,2]
0000111101 => [4,4,1,1]
0100011101 => [1,1,3,3,1,1]
0001101101 => [3,2,1,2,1,1]
0001011101 => [3,1,1,3,1,1]
0101001101 => [1,1,1,1,2,2,1,1]
0001110101 => [3,3,1,1,1,1]
0100110101 => [1,1,2,2,1,1,1,1]
0011010101 => [2,2,1,1,1,1,1,1]
0010110101 => [2,1,1,2,1,1,1,1]
0100101101 => [1,1,2,1,1,2,1,1]
0011000111 => [2,2,3,3]
0010001111 => [2,1,3,4]
0010101101 => [2,1,1,1,1,2,1,1]
0101001011 => [1,1,1,1,2,1,1,2]
0001110011 => [3,3,2,2]
0100110011 => [1,1,2,2,2,2]
0011010011 => [2,2,1,1,2,2]
0010110011 => [2,1,1,2,2,2]
0100100111 => [1,1,2,1,2,3]
0011001101 => [2,2,2,2,1,1]
0010011101 => [2,1,2,3,1,1]
0010100111 => [2,1,1,1,2,3]
0100101011 => [1,1,2,1,1,1,1,2]
0011001011 => [2,2,2,1,1,2]
0010011011 => [2,1,2,2,1,2]
0010010111 => [2,1,2,1,1,3]
0010101011 => [2,1,1,1,1,1,1,2]
0111100001 => [1,4,4,1]
0111000101 => [1,3,3,1,1,1]
0110110001 => [1,2,1,2,3,1]
0111010001 => [1,3,1,1,3,1]
0110010101 => [1,2,2,1,1,1,1,1]
0101110001 => [1,1,1,3,3,1]
0101100101 => [1,1,1,2,2,1,1,1]
0101011001 => [1,1,1,1,1,2,2,1]
0101101001 => [1,1,1,2,1,1,2,1]
0110100101 => [1,2,1,1,2,1,1,1]
0110101001 => [1,2,1,1,1,1,2,1]
0110011001 => [1,2,2,2,2,1]
0111001001 => [1,3,2,1,2,1]
0111011000 => [1,3,1,2,3]
0110101100 => [1,2,1,1,1,2,2]
0111001100 => [1,3,2,2,2]
0111010100 => [1,3,1,1,1,1,2]
0101011100 => [1,1,1,1,1,3,2]
0101010110 => [1,1,1,1,1,1,1,2,1]
0101011010 => [1,1,1,1,1,2,1,1,1]
0111000110 => [1,3,3,2,1]
0110011100 => [1,2,2,3,2]
0110010110 => [1,2,2,1,1,2,1]
0110011010 => [1,2,2,2,1,1,1]
0101100110 => [1,1,1,2,2,2,1]
0111001010 => [1,3,2,1,1,1,1]
0110100110 => [1,2,1,1,2,2,1]
0111010010 => [1,3,1,1,2,1,1]
0110101010 => [1,2,1,1,1,1,1,1,1]
00001000001 => [4,1,5,1]
000011011110 => [4,2,1,4,1]
010000011111 => [1,1,5,5]
000001111101 => [5,5,1,1]
111100000101 => [4,5,1,1,1]
011111000001 => [1,5,5,1]
010111110000 => [1,1,1,5,4]
0011011100 => [2,2,1,3,2]
0001011110 => [3,1,1,4,1]
0011010110 => [2,2,1,1,1,2,1]
0010101110 => [2,1,1,1,1,3,1]
0011001110 => [2,2,2,3,1]
0010011110 => [2,1,2,4,1]
0100101110 => [1,1,2,1,1,3,1]
0101001110 => [1,1,1,1,2,3,1]
0110001110 => [1,2,3,3,1]
0100011110 => [1,1,3,4,1]
0011011001 => [2,2,1,2,2,1]
0011011010 => [2,2,1,2,1,1,1]
0100110110 => [1,1,2,2,1,2,1]
0010111001 => [2,1,1,3,2,1]
0001111001 => [3,4,2,1]
0011110001 => [2,4,3,1]
0110010011 => [1,2,2,1,2,2]
0110001011 => [1,2,3,1,1,2]
0110000111 => [1,2,4,3]
0111000011 => [1,3,4,2]
0011101001 => [2,3,1,1,2,1]
0011100101 => [2,3,2,1,1,1]
0100111001 => [1,1,2,3,2,1]
0011100011 => [2,3,3,2]
0101100011 => [1,1,1,2,3,2]
0110100011 => [1,2,1,1,3,2]
10110110110110100000 => [1,1,2,1,2,1,2,1,2,1,1,5]
10110110111010010000 => [1,1,2,1,2,1,3,1,1,2,1,4]
10110111010011010000 => [1,1,2,1,3,1,1,2,2,1,1,4]
10110111011010001000 => [1,1,2,1,3,1,2,1,1,3,1,3]
10110111101001001000 => [1,1,2,1,4,1,1,2,1,2,1,3]
10111010011011010000 => [1,1,3,1,1,2,2,1,2,1,1,4]
10111010011101001000 => [1,1,3,1,1,2,3,1,1,2,1,3]
10111011010001101000 => [1,1,3,1,2,1,1,3,2,1,1,3]
10111011011010000100 => [1,1,3,1,2,1,2,1,1,4,1,2]
10111011101001000100 => [1,1,3,1,3,1,1,2,1,3,1,2]
10111101001001101000 => [1,1,4,1,1,2,1,2,2,1,1,3]
10111101001101000100 => [1,1,4,1,1,2,2,1,1,3,1,2]
10111101101000100100 => [1,1,4,1,2,1,1,3,1,2,1,2]
10111110100100100100 => [1,1,5,1,1,2,1,2,1,2,1,2]
11010011011011010000 => [2,1,1,2,2,1,2,1,2,1,1,4]
11010011011101001000 => [2,1,1,2,2,1,3,1,1,2,1,3]
11010011101001101000 => [2,1,1,2,3,1,1,2,2,1,1,3]
11010011101101000100 => [2,1,1,2,3,1,2,1,1,3,1,2]
11010011110100100100 => [2,1,1,2,4,1,1,2,1,2,1,2]
11011010001101101000 => [2,1,2,1,1,3,2,1,2,1,1,3]
11011010001110100100 => [2,1,2,1,1,3,3,1,1,2,1,2]
11011011010000110100 => [2,1,2,1,2,1,1,4,2,1,1,2]
11011011011010000010 => [2,1,2,1,2,1,2,1,1,5,1,1]
11011011101001000010 => [2,1,2,1,3,1,1,2,1,4,1,1]
11011101001000110100 => [2,1,3,1,1,2,1,3,2,1,1,2]
11011101001101000010 => [2,1,3,1,1,2,2,1,1,4,1,1]
11011101101000100010 => [2,1,3,1,2,1,1,3,1,3,1,1]
11011110100100100010 => [2,1,4,1,1,2,1,2,1,3,1,1]
11101001001101101000 => [3,1,1,2,1,2,2,1,2,1,1,3]
11101001001110100100 => [3,1,1,2,1,2,3,1,1,2,1,2]
11101001101000110100 => [3,1,1,2,2,1,1,3,2,1,1,2]
11101001101101000010 => [3,1,1,2,2,1,2,1,1,4,1,1]
11101001110100100010 => [3,1,1,2,3,1,1,2,1,3,1,1]
11101101000100110100 => [3,1,2,1,1,3,1,2,2,1,1,2]
11101101000110100010 => [3,1,2,1,1,3,2,1,1,3,1,1]
11101101101000010010 => [3,1,2,1,2,1,1,4,1,2,1,1]
11101110100100010010 => [3,1,3,1,1,2,1,3,1,2,1,1]
11110100100100110100 => [4,1,1,2,1,2,1,2,2,1,1,2]
11110100100110100010 => [4,1,1,2,1,2,2,1,1,3,1,1]
11110100110100010010 => [4,1,1,2,2,1,1,3,1,2,1,1]
11110110100010010010 => [4,1,2,1,1,3,1,2,1,2,1,1]
11111010010010010010 => [5,1,1,2,1,2,1,2,1,2,1,1]
10100100010000 => [1,1,1,2,1,3,1,4]
111111110000000010 => [8,8,1,1]
101111111100000000 => [1,1,8,8]
11111111100000000010 => [9,9,1,1]
111111101000000010 => [7,1,1,7,1,1]
101111111010000000 => [1,1,7,1,1,7]
10111111111000000000 => [1,1,9,9]
1111111111000000000010 => [10,10,1,1]
11111111010000000010 => [8,1,1,8,1,1]
111111100100000010 => [7,2,1,6,1,1]
111111011000000010 => [6,1,2,7,1,1]
101111111001000000 => [1,1,7,2,1,6]
101111110110000000 => [1,1,6,1,2,7]
10111111110100000000 => [1,1,8,1,1,8]
1011111111110000000000 => [1,1,10,10]
0000000010 => [8,1,1]
00000000010 => [9,1,1]
0100000100 => [1,1,5,1,2]
0000000001 => [9,1]
0100000001 => [1,1,7,1]
0110000001 => [1,2,6,1]
0111000001 => [1,3,5,1]
0111110001 => [1,5,3,1]
0111111001 => [1,6,2,1]
0111111101 => [1,7,1,1]
0111111111 => [1,9]
00000000001 => [10,1]
01000000001 => [1,1,8,1]
0010000001 => [2,1,6,1]
01100000001 => [1,2,7,1]
0101000001 => [1,1,1,1,5,1]
01110000001 => [1,3,6,1]
0110100001 => [1,2,1,1,4,1]
01111000001 => [1,4,5,1]
01111100001 => [1,5,4,1]
0111101001 => [1,4,1,1,2,1]
01111110001 => [1,6,3,1]
0111110101 => [1,5,1,1,1,1]
01111111001 => [1,7,2,1]
0111111011 => [1,6,1,2]
01111111101 => [1,8,1,1]
01111111111 => [1,10]
0000000101 => [7,1,1,1]
0000001101 => [6,2,1,1]
0000011101 => [5,3,1,1]
0001111101 => [3,5,1,1]
0011111101 => [2,6,1,1]
00000000101 => [8,1,1,1]
0000001001 => [6,1,2,1]
00000001101 => [7,2,1,1]
0000010101 => [5,1,1,1,1,1]
00000011101 => [6,3,1,1]
0000101101 => [4,1,1,2,1,1]
00000111101 => [5,4,1,1]
00001111101 => [4,5,1,1]
0010111101 => [2,1,1,4,1,1]
00011111101 => [3,6,1,1]
0101111101 => [1,1,1,5,1,1]
00111111101 => [2,7,1,1]
11111111101 => [9,1,1]
0100000000 => [1,1,8]
0100000011 => [1,1,6,2]
0100000111 => [1,1,5,3]
0100011111 => [1,1,3,5]
0100111111 => [1,1,2,6]
0101111111 => [1,1,1,7]
01000000000 => [1,1,9]
0100000010 => [1,1,6,1,1]
01000000011 => [1,1,7,2]
0100000101 => [1,1,5,1,1,1]
01000000111 => [1,1,6,3]
0100001011 => [1,1,4,1,1,2]
01000001111 => [1,1,5,4]
01000011111 => [1,1,4,5]
0100101111 => [1,1,2,1,1,4]
01000111111 => [1,1,3,6]
0101011111 => [1,1,1,1,1,5]
01001111111 => [1,1,2,7]
0110111111 => [1,2,1,6]
01011111111 => [1,1,1,8]
0000000000 => [10]
101010101010101100 => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2]
101010101010110100 => [1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2]
10101010101010101100 => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2]
110010101010101100 => [2,2,1,1,1,1,1,1,1,1,1,1,2,2]
110010101010110100 => [2,2,1,1,1,1,1,1,1,1,2,1,1,2]
10101010101010110100 => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2]
1010101010101010101100 => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2]
11001010101010101100 => [2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2]
101100101010101100 => [1,1,2,2,1,1,1,1,1,1,1,1,2,2]
110100101010101100 => [2,1,1,2,1,1,1,1,1,1,1,1,2,2]
101100101010110100 => [1,1,2,2,1,1,1,1,1,1,2,1,1,2]
110100101010110100 => [2,1,1,2,1,1,1,1,1,1,2,1,1,2]
11001010101010110100 => [2,2,1,1,1,1,1,1,1,1,1,1,2,1,1,2]
1010101010101010110100 => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2]
110101010101010100 => [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
111000101010101010 => [3,3,1,1,1,1,1,1,1,1,1,1,1,1]
111001010101010100 => [3,2,1,1,1,1,1,1,1,1,1,1,1,2]
11010101010101010100 => [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
11100010101010101010 => [3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
101110001010101010 => [1,1,3,3,1,1,1,1,1,1,1,1,1,1]
110110001010101010 => [2,1,2,3,1,1,1,1,1,1,1,1,1,1]
110110010101010100 => [2,1,2,2,1,1,1,1,1,1,1,1,1,2]
111010010101010100 => [3,1,1,2,1,1,1,1,1,1,1,1,1,2]
11100101010101010100 => [3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
1101010101010101010100 => [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
101011111110000000 => [1,1,1,1,7,7]
101111111000000010 => [1,1,7,7,1,1]
10101111111100000000 => [1,1,1,1,8,8]
101100111111000000 => [1,1,2,2,6,6]
110011111100000010 => [2,2,6,6,1,1]
10111111110000000010 => [1,1,8,8,1,1]
110010101010101010 => [2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
110101010101011000 => [2,1,1,1,1,1,1,1,1,1,1,1,2,3]
11001010101010101010 => [2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
11010101010101011000 => [2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3]
110101010101101000 => [2,1,1,1,1,1,1,1,1,1,2,1,1,3]
110101010101100100 => [2,1,1,1,1,1,1,1,1,1,2,2,1,2]
110010101010110010 => [2,2,1,1,1,1,1,1,1,1,2,2,1,1]
1100101010101010101010 => [2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
101011111100000010 => [1,1,1,1,6,6,1,1]
101111110000001010 => [1,1,6,6,1,1,1,1]
10101111111000000010 => [1,1,1,1,7,7,1,1]
101011111010000010 => [1,1,1,1,5,1,1,5,1,1]
101111101000001010 => [1,1,5,1,1,5,1,1,1,1]
10111111100000001010 => [1,1,7,7,1,1,1,1]
1010111111110000000010 => [1,1,1,1,8,8,1,1]
10101111110100000010 => [1,1,1,1,6,1,1,6,1,1]
101011110110000010 => [1,1,1,1,4,1,2,5,1,1]
101011111001000010 => [1,1,1,1,5,2,1,4,1,1]
101111011000001010 => [1,1,4,1,2,5,1,1,1,1]
101111100100001010 => [1,1,5,2,1,4,1,1,1,1]
10111111010000001010 => [1,1,6,1,1,6,1,1,1,1]
1011111111000000001010 => [1,1,8,8,1,1,1,1]
111111110000000100 => [8,7,1,2]
111111101000000100 => [7,1,1,6,1,2]
11111111100000000100 => [9,8,1,2]
101010101011001100 => [1,1,1,1,1,1,1,1,1,1,2,2,2,2]
101010101011100100 => [1,1,1,1,1,1,1,1,1,1,3,2,1,2]
111111011000000100 => [6,1,2,6,1,2]
111111100100000100 => [7,2,1,5,1,2]
11111111010000000100 => [8,1,1,7,1,2]
1111111111000000000100 => [10,9,1,2]
111001010101010010 => [3,2,1,1,1,1,1,1,1,1,1,2,1,1]
110011010101010100 => [2,2,2,1,1,1,1,1,1,1,1,1,1,2]
110101010101001100 => [2,1,1,1,1,1,1,1,1,1,1,2,2,2]
101101010101011000 => [1,1,2,1,1,1,1,1,1,1,1,1,2,3]
111111110100000000 => [8,1,1,8]
111111110010000000 => [8,2,1,7]
11111111101000000000 => [9,1,1,9]
11111111100100000000 => [9,2,1,8]
1111111111010000000000 => [10,1,1,10]
110111111010000000 => [2,1,6,1,1,7]
110111111001000000 => [2,1,6,2,1,6]
10111111110010000000 => [1,1,8,2,1,7]
1111111111001000000000 => [10,2,1,9]
111010101010101000 => [3,1,1,1,1,1,1,1,1,1,1,1,1,3]
110101010101010010 => [2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1]
111010101010100010 => [3,1,1,1,1,1,1,1,1,1,1,3,1,1]
11101010101010101000 => [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3]
11010101010101010010 => [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1]
110101010101001010 => [2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1]
111010101010001010 => [3,1,1,1,1,1,1,1,1,3,1,1,1,1]
111010101010100100 => [3,1,1,1,1,1,1,1,1,1,1,2,1,2]
11101010101010100010 => [3,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1]
1110101010101010101000 => [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3]
110111111100000000 => [2,1,7,8]
101111110000001100 => [1,1,6,6,2,2]
111111110000001000 => [8,6,1,3]
111011111100000000 => [3,1,6,8]
11011111111000000000 => [2,1,8,9]
111111011010000000 => [6,1,2,1,1,7]
11111110110100000000 => [7,1,2,1,1,8]
111110111010000000 => [5,1,3,1,1,7]
111111011001000000 => [6,1,2,2,1,6]
111110111000000010 => [5,1,3,7,1,1]
111111001100000010 => [6,2,2,6,1,1]
11111110110000000010 => [7,1,2,8,1,1]
110011111110000000 => [2,2,7,7]
111111111000000000 => [9,9]
11001111111100000000 => [2,2,8,8]
110011111101000000 => [2,2,6,1,1,6]
11111111110000000000 => [10,10]
1100111111111000000000 => [2,2,9,9]
11001111111010000000 => [2,2,7,1,1,7]
110011111011000000 => [2,2,5,1,2,6]
110011111100100000 => [2,2,6,2,1,5]
111111101100000000 => [7,1,2,8]
1111111111100000000000 => [11,11]
111111100000001100 => [7,7,2,2]
111111010000001100 => [6,1,1,6,2,2]
11111111000000001100 => [8,8,2,2]
111110110000001100 => [5,1,2,6,2,2]
111111001000001100 => [6,2,1,5,2,2]
11111110100000001100 => [7,1,1,7,2,2]
1111111110000000001100 => [9,9,2,2]
11000000000 => [2,9]
10000000001 => [1,9,1]
00010100001 => [3,1,1,1,4,1]
0000010000001 => [5,1,6,1]
100000001000000 => [1,7,1,6]
1000001010000 => [1,5,1,1,1,4]
00100100001 => [2,1,2,1,4,1]
00010010001 => [3,1,2,1,3,1]
0000101000001 => [4,1,1,1,5,1]
000000100000001 => [6,1,7,1]
10000000010000000 => [1,8,1,7]
100000010100000 => [1,6,1,1,1,5]
1000010010000 => [1,4,1,2,1,4]
1000001001000 => [1,5,1,2,1,3]
01000001000 => [1,1,5,1,3]
01000100001 => [1,1,3,1,4,1]
00101010001 => [2,1,1,1,1,1,3,1]
0001001000001 => [3,1,2,1,5,1]
00010000010 => [3,1,5,1,1]
00010001001 => [3,1,3,1,2,1]
0000100100001 => [4,1,2,1,4,1]
000001010000001 => [5,1,1,1,6,1]
00000001000000001 => [7,1,8,1]
1000000000100000000 => [1,9,1,8]
10000000101000000 => [1,7,1,1,1,6]
100000100100000 => [1,5,1,2,1,5]
100000010010000 => [1,6,1,2,1,4]
1000100010000 => [1,3,1,3,1,4]
1000010101000 => [1,4,1,1,1,1,1,3]
10100001000 => [1,1,1,4,1,3]
10000100001 => [1,4,1,4,1]
01000010100 => [1,1,4,1,1,1,2]
01001010001 => [1,1,2,1,1,1,3,1]
0010001000001 => [2,1,3,1,5,1]
00100000100 => [2,1,5,1,2]
00100010001 => [2,1,3,1,3,1]
00101000010 => [2,1,1,1,4,1,1]
00101001001 => [2,1,1,1,2,1,2,1]
0001010100001 => [3,1,1,1,1,1,4,1]
000010010000001 => [4,1,2,1,6,1]
00010000101 => [3,1,4,1,1,1]
0000100010001 => [4,1,3,1,3,1]
000001001000001 => [5,1,2,1,5,1]
00000010100000001 => [6,1,1,1,7,1]
0000000010000000001 => [8,1,9,1]
100000000001000000000 => [1,10,1,9]
1000000001010000000 => [1,8,1,1,1,7]
10000001001000000 => [1,6,1,2,1,6]
10000000100100000 => [1,7,1,2,1,5]
100001000100000 => [1,4,1,3,1,5]
100000101010000 => [1,5,1,1,1,1,1,4]
100000010001000 => [1,6,1,3,1,3]
1001000010000 => [1,2,1,4,1,4]
1000100101000 => [1,3,1,2,1,1,1,3]
1000010001000 => [1,4,1,3,1,3]
1000010100100 => [1,4,1,1,1,2,1,2]
0100000010000 => [1,1,6,1,4]
10100010100 => [1,1,1,3,1,1,1,2]
10010100100 => [1,2,1,1,1,2,1,2]
10001010001 => [1,3,1,1,1,3,1]
0100001000001 => [1,1,4,1,5,1]
01000100100 => [1,1,3,1,2,1,2]
01000010010 => [1,1,4,1,2,1,1]
01010000100 => [1,1,1,1,4,1,2]
01010010001 => [1,1,1,1,2,1,3,1]
01001000010 => [1,1,2,1,4,1,1]
01001001001 => [1,1,2,1,2,1,2,1]
0010010100001 => [2,1,2,1,1,1,4,1]
000100010000001 => [3,1,3,1,6,1]
00100001010 => [2,1,4,1,1,1,1]
00100100010 => [2,1,2,1,3,1,1]
00100101001 => [2,1,2,1,1,1,2,1]
0001000100001 => [3,1,3,1,4,1]
00101000101 => [2,1,1,1,3,1,1,1]
0001010010001 => [3,1,1,1,2,1,3,1]
000010101000001 => [4,1,1,1,1,1,5,1]
00000100100000001 => [5,1,2,1,7,1]
0000100000010 => [4,1,6,1,1]
0000100001001 => [4,1,4,1,2,1]
000001000100001 => [5,1,3,1,4,1]
00000010010000001 => [6,1,2,1,6,1]
0000000101000000001 => [7,1,1,1,8,1]
000000000100000000001 => [9,1,10,1]
00000110111110 => [5,2,1,5,1]
000111011100 => [3,3,1,3,2]
100011111000 => [1,3,5,3]
10000011111100 => [1,5,6,2]
0000001101111110 => [6,2,1,6,1]
00001110111100 => [4,3,1,4,2]
000111011010 => [3,3,1,2,1,1,1]
001011011100 => [2,1,1,2,1,3,2]
100011110100 => [1,3,4,1,1,2]
100101111000 => [1,2,1,1,4,3]
10000111111000 => [1,4,6,3]
1000000111111100 => [1,6,7,2]
000000011011111110 => [7,2,1,7,1]
0000011101111100 => [5,3,1,5,2]
00001110111010 => [4,3,1,3,1,1,1]
00010110111100 => [3,1,1,2,1,4,2]
000111010110 => [3,3,1,1,1,2,1]
001111011000 => [2,4,1,2,3]
010011011100 => [1,1,2,2,1,3,2]
000101101110 => [3,1,1,2,1,3,1]
100011101100 => [1,3,3,1,2,2]
100111110000 => [1,2,5,4]
10000111110100 => [1,4,5,1,1,2]
010001111010 => [1,1,3,4,1,1,1]
101001111000 => [1,1,1,2,4,3]
10001011111000 => [1,3,1,1,5,3]
1000001111111000 => [1,5,7,3]
100000001111111100 => [1,7,8,2]
00000000110111111110 => [8,2,1,8,1]
000000111011111100 => [6,3,1,6,2]
0000011101111010 => [5,3,1,4,1,1,1]
0000101101111100 => [4,1,1,2,1,5,2]
00001110110110 => [4,3,1,2,1,2,1]
00011110111000 => [3,4,1,3,3]
00100110111100 => [2,1,2,2,1,4,2]
000111001110 => [3,3,2,3,1]
001111010100 => [2,4,1,1,1,1,2]
001011011010 => [2,1,1,2,1,2,1,1,1]
010111011000 => [1,1,1,3,1,2,3]
100011011100 => [1,3,2,1,3,2]
001101101100 => [2,2,1,2,1,2,2]
100111101000 => [1,2,4,1,1,3]
10000111101100 => [1,4,4,1,2,2]
001001110110 => [2,1,2,3,1,2,1]
100101110100 => [1,2,1,1,3,1,1,2]
010011110010 => [1,1,2,4,2,1,1]
10001111110000 => [1,3,6,4]
1000001111110100 => [1,5,6,1,1,2]
110001111000 => [2,3,4,3]
10010011111000 => [1,2,1,2,5,3]
1000010111111000 => [1,4,1,1,6,3]
100000011111111000 => [1,6,8,3]
10000000011111111100 => [1,8,9,2]
0000000001101111111110 => [9,2,1,9,1]
00000001110111111100 => [7,3,1,7,2]
000000111011111010 => [6,3,1,5,1,1,1]
000001011011111100 => [5,1,1,2,1,6,2]
0000011101110110 => [5,3,1,3,1,2,1]
0000111101111000 => [4,4,1,4,3]
0001001101111100 => [3,1,2,2,1,5,2]
00001110101110 => [4,3,1,1,1,3,1]
00011110110100 => [3,4,1,2,1,1,2]
00010110111010 => [3,1,1,2,1,3,1,1,1]
00101110111000 => [2,1,1,3,1,3,3]
01000110111100 => [1,1,3,2,1,4,2]
00001011011110 => [4,1,1,2,1,4,1]
001111001100 => [2,4,2,2,2]
001111010010 => [2,4,1,1,2,1,1]
010111010100 => [1,1,1,3,1,1,1,1,2]
011011011000 => [1,2,1,2,1,2,3]
100111011000 => [1,2,3,1,2,3]
10000111011100 => [1,4,3,1,3,2]
001101101010 => [2,2,1,2,1,1,1,1,1]
010101101100 => [1,1,1,1,1,2,1,2,2]
001011100110 => [2,1,1,3,2,2,1]
100111100100 => [1,2,4,2,1,2]
010011101010 => [1,1,2,3,1,1,1,1,1]
10001111101000 => [1,3,5,1,1,3]
1000001111101100 => [1,5,5,1,2,2]
011001110100 => [1,2,2,3,1,1,2]
010101110010 => [1,1,1,1,1,3,2,1,1]
10001011110100 => [1,3,1,1,4,1,1,2]
10010111110000 => [1,2,1,1,5,4]
1000011111110000 => [1,4,7,4]
100000011111110100 => [1,6,7,1,1,2]
01000011111010 => [1,1,4,5,1,1,1]
10100011111000 => [1,1,1,3,5,3]
1000100111111000 => [1,3,1,2,6,3]
100000101111111000 => [1,5,1,1,7,3]
10000000111111111000 => [1,7,9,3]
1000000000111111111100 => [1,9,10,2]
00000011111101 => [6,6,1,1]
000010111101 => [4,1,1,4,1,1]
010000101111 => [1,1,4,1,1,4]
01000000111111 => [1,1,6,6]
0000000111111101 => [7,7,1,1]
00000101111101 => [5,1,1,5,1,1]
000011011101 => [4,2,1,3,1,1]
000100111101 => [3,1,2,4,1,1]
010000110111 => [1,1,4,2,1,3]
010001001111 => [1,1,3,1,2,4]
01000001011111 => [1,1,5,1,1,5]
0100000001111111 => [1,1,7,7]
000000001111111101 => [8,8,1,1]
0000001011111101 => [6,1,1,6,1,1]
00000110111101 => [5,2,1,4,1,1]
00001001111101 => [4,1,2,5,1,1]
000011101101 => [4,3,1,2,1,1]
000101011101 => [3,1,1,1,1,3,1,1]
001000111101 => [2,1,3,4,1,1]
000011110011 => [4,4,2,2]
010000111011 => [1,1,4,3,1,2]
010001010111 => [1,1,3,1,1,1,1,3]
01000001101111 => [1,1,5,2,1,4]
001100001111 => [2,2,4,4]
010010001111 => [1,1,2,1,3,4]
01000010011111 => [1,1,4,1,2,5]
0100000010111111 => [1,1,6,1,1,6]
010000000011111111 => [1,1,8,8]
00000000011111111101 => [9,9,1,1]
000000010111111101 => [7,1,1,7,1,1]
0000001101111101 => [6,2,1,5,1,1]
0000010011111101 => [5,1,2,6,1,1]
00000111011101 => [5,3,1,3,1,1]
00001010111101 => [4,1,1,1,1,4,1,1]
00010001111101 => [3,1,3,5,1,1]
000011110101 => [4,4,1,1,1,1]
000101101101 => [3,1,1,2,1,2,1,1]
000110011101 => [3,2,2,3,1,1]
001001011101 => [2,1,2,1,1,3,1,1]
010000111101 => [1,1,4,4,1,1]
000101110011 => [3,1,1,3,2,2]
010001011011 => [1,1,3,1,1,2,1,2]
01000001110111 => [1,1,5,3,1,3]
000111000111 => [3,3,3,3]
010001100111 => [1,1,3,2,2,3]
001100010111 => [2,2,3,1,1,3]
010010010111 => [1,1,2,1,2,1,1,3]
01000010101111 => [1,1,4,1,1,1,1,4]
0100000011011111 => [1,1,6,2,1,5]
010100001111 => [1,1,1,1,4,4]
01000100011111 => [1,1,3,1,3,5]
0100000100111111 => [1,1,5,1,2,6]
010000000101111111 => [1,1,7,1,1,7]
01000000000111111111 => [1,1,9,9]
0000000000111111111101 => [10,10,1,1]
00000000101111111101 => [8,1,1,8,1,1]
000000011011111101 => [7,2,1,6,1,1]
000000100111111101 => [6,1,2,7,1,1]
0000001110111101 => [6,3,1,4,1,1]
0000010101111101 => [5,1,1,1,1,5,1,1]
0000100011111101 => [4,1,3,6,1,1]
00000111101101 => [5,4,1,2,1,1]
00001011011101 => [4,1,1,2,1,3,1,1]
00001100111101 => [4,2,2,4,1,1]
00010010111101 => [3,1,2,1,1,4,1,1]
00100001111101 => [2,1,4,5,1,1]
00000111110011 => [5,5,2,2]
000101110101 => [3,1,1,3,1,1,1,1]
000110101101 => [3,2,1,1,1,2,1,1]
001001101101 => [2,1,2,2,1,2,1,1]
001010011101 => [2,1,1,1,2,3,1,1]
010001011101 => [1,1,3,1,1,3,1,1]
01000001111011 => [1,1,5,4,1,2]
000110110011 => [3,2,1,2,2,2]
001001110011 => [2,1,2,3,2,2]
000111001011 => [3,3,2,1,1,2]
010001101011 => [1,1,3,2,1,1,1,2]
001100011011 => [2,2,3,2,1,2]
010010011011 => [1,1,2,1,2,2,1,2]
01000010110111 => [1,1,4,1,1,2,1,3]
0100000011101111 => [1,1,6,3,1,4]
001011000111 => [2,1,1,2,3,3]
001100100111 => [2,2,2,1,2,3]
010010100111 => [1,1,2,1,1,1,2,3]
01000011001111 => [1,1,4,2,2,4]
010100010111 => [1,1,1,1,3,1,1,3]
01000100101111 => [1,1,3,1,2,1,1,4]
0100000101011111 => [1,1,5,1,1,1,1,5]
010000000110111111 => [1,1,7,2,1,6]
00110000011111 => [2,2,5,5]
01001000011111 => [1,1,2,1,4,5]
0100001000111111 => [1,1,4,1,3,6]
010000001001111111 => [1,1,6,1,2,7]
01000000001011111111 => [1,1,8,1,1,8]
0100000000001111111111 => [1,1,10,10]
01111110000001 => [1,6,6,1]
011110100001 => [1,4,1,1,4,1]
111010000101 => [3,1,1,4,1,1,1]
11111000000101 => [5,6,1,1,1]
0111111100000001 => [1,7,7,1]
01111101000001 => [1,5,1,1,5,1]
011101100001 => [1,3,1,2,4,1]
011110010001 => [1,4,2,1,3,1]
110110000101 => [2,1,2,4,1,1,1]
111001000101 => [3,2,1,3,1,1,1]
11110100000101 => [4,1,1,5,1,1,1]
1111110000000101 => [6,7,1,1,1]
011111111000000001 => [1,8,8,1]
0111111010000001 => [1,6,1,1,6,1]
01111011000001 => [1,4,1,2,5,1]
01111100100001 => [1,5,2,1,4,1]
011011100001 => [1,2,1,3,4,1]
011101010001 => [1,3,1,1,1,1,3,1]
011110001001 => [1,4,3,1,2,1]
100111100001 => [1,2,4,4,1]
101110000101 => [1,1,3,4,1,1,1]
110101000101 => [2,1,1,1,1,3,1,1,1]
11101100000101 => [3,1,2,5,1,1,1]
111000011001 => [3,4,2,2,1]
111000100101 => [3,3,1,2,1,1,1]
11110010000101 => [4,2,1,4,1,1,1]
1111101000000101 => [5,1,1,6,1,1,1]
111111100000000101 => [7,8,1,1,1]
01111111110000000001 => [1,9,9,1]
011111110100000001 => [1,7,1,1,7,1]
0111110110000001 => [1,5,1,2,6,1]
0111111001000001 => [1,6,2,1,5,1]
01110111000001 => [1,3,1,3,5,1]
01111010100001 => [1,4,1,1,1,1,4,1]
01111100010001 => [1,5,3,1,3,1]
010111100001 => [1,1,1,4,4,1]
011011010001 => [1,2,1,2,1,1,3,1]
011100110001 => [1,3,2,2,3,1]
011101001001 => [1,3,1,1,2,1,2,1]
011110000101 => [1,4,4,1,1,1]
100111010001 => [1,2,3,1,1,3,1]
101101000101 => [1,1,2,1,1,3,1,1,1]
11011100000101 => [2,1,3,5,1,1,1]
110001110001 => [2,3,3,3,1]
110011000101 => [2,2,2,3,1,1,1]
110100011001 => [2,1,1,3,2,2,1]
110100100101 => [2,1,1,2,1,2,1,1,1]
11101010000101 => [3,1,1,1,1,4,1,1,1]
1111011000000101 => [4,1,2,6,1,1,1]
111000010101 => [3,4,1,1,1,1,1]
11110001000101 => [4,3,1,3,1,1,1]
1111100100000101 => [5,2,1,5,1,1,1]
111111010000000101 => [6,1,1,7,1,1,1]
11111111000000000101 => [8,9,1,1,1]
0111111111100000000001 => [1,10,10,1]
01111111101000000001 => [1,8,1,1,8,1]
011111101100000001 => [1,6,1,2,7,1]
011111110010000001 => [1,7,2,1,6,1]
0111101110000001 => [1,4,1,3,6,1]
0111110101000001 => [1,5,1,1,1,1,5,1]
0111111000100001 => [1,6,3,1,4,1]
01101111000001 => [1,2,1,4,5,1]
01110110100001 => [1,3,1,2,1,1,4,1]
01111001100001 => [1,4,2,2,4,1]
01111010010001 => [1,4,1,1,2,1,3,1]
01111100001001 => [1,5,4,1,2,1]
10011111000001 => [1,2,5,5,1]
010111010001 => [1,1,1,3,1,1,3,1]
011010110001 => [1,2,1,1,1,2,3,1]
011011001001 => [1,2,1,2,2,1,2,1]
011100101001 => [1,3,2,1,1,1,2,1]
011101000101 => [1,3,1,1,3,1,1,1]
10111100000101 => [1,1,4,5,1,1,1]
100110110001 => [1,2,2,1,2,3,1]
100111001001 => [1,2,3,2,1,2,1]
101001110001 => [1,1,1,2,3,3,1]
101011000101 => [1,1,1,1,2,3,1,1,1]
101100011001 => [1,1,2,3,2,2,1]
101100100101 => [1,1,2,2,1,2,1,1,1]
11011010000101 => [2,1,2,1,1,4,1,1,1]
1110111000000101 => [3,1,3,6,1,1,1]
110001101001 => [2,3,2,1,1,2,1]
110010011001 => [2,2,1,2,2,2,1]
110010100101 => [2,2,1,1,1,2,1,1,1]
11100110000101 => [3,2,2,4,1,1,1]
110100010101 => [2,1,1,3,1,1,1,1,1]
11101001000101 => [3,1,1,2,1,3,1,1,1]
1111010100000101 => [4,1,1,1,1,5,1,1,1]
111110110000000101 => [5,1,2,7,1,1,1]
11110000011001 => [4,5,2,2,1]
11110000100101 => [4,4,1,2,1,1,1]
1111100010000101 => [5,3,1,4,1,1,1]
111111001000000101 => [6,2,1,6,1,1,1]
11111110100000000101 => [7,1,1,8,1,1,1]
1111111110000000000101 => [9,10,1,1,1]
01011111100000 => [1,1,1,6,5]
010111101000 => [1,1,1,4,1,1,3]
0101111111000000 => [1,1,1,7,6]
01011111010000 => [1,1,1,5,1,1,4]
010111100100 => [1,1,1,4,2,1,2]
010111111110000000 => [1,1,1,8,7]
0101111110100000 => [1,1,1,6,1,1,5]
01011110110000 => [1,1,1,4,1,2,4]
01011111001000 => [1,1,1,5,2,1,3]
010110111000 => [1,1,1,2,1,3,3]
010111100010 => [1,1,1,4,3,1,1]
011001111000 => [1,2,2,4,3]
011110000110 => [1,4,4,2,1]
01011111111100000000 => [1,1,1,9,8]
010111111101000000 => [1,1,1,7,1,1,6]
0101111101100000 => [1,1,1,5,1,2,5]
0101111110010000 => [1,1,1,6,2,1,4]
01011101110000 => [1,1,1,3,1,3,4]
01011110101000 => [1,1,1,4,1,1,1,1,3]
01011111000100 => [1,1,1,5,3,1,2]
010101111000 => [1,1,1,1,1,4,3]
010110110100 => [1,1,1,2,1,2,1,1,2]
010111001100 => [1,1,1,3,2,2,2]
010111010010 => [1,1,1,3,1,1,2,1,1]
011100011100 => [1,3,3,3,2]
011101000110 => [1,3,1,1,3,2,1]
0101111111111000000000 => [1,1,1,10,9]
01011111111010000000 => [1,1,1,8,1,1,7]
010111111011000000 => [1,1,1,6,1,2,6]
010111111100100000 => [1,1,1,7,2,1,5]
0101111011100000 => [1,1,1,4,1,3,5]
0101111101010000 => [1,1,1,5,1,1,1,1,4]
0101111110001000 => [1,1,1,6,3,1,3]
01011011110000 => [1,1,1,2,1,4,4]
01011101101000 => [1,1,1,3,1,2,1,1,3]
01011110011000 => [1,1,1,4,2,2,3]
01011110100100 => [1,1,1,4,1,1,2,1,2]
01011111000010 => [1,1,1,5,4,1,1]
01100111110000 => [1,2,2,5,4]
010101110100 => [1,1,1,1,1,3,1,1,2]
010110101100 => [1,1,1,2,1,1,1,2,2]
010110110010 => [1,1,1,2,1,2,2,1,1]
010111001010 => [1,1,1,3,2,1,1,1,1]
011001101100 => [1,2,2,2,1,2,2]
011001110010 => [1,2,2,3,2,1,1]
011010011100 => [1,2,1,1,2,3,2]
011011000110 => [1,2,1,2,3,2,1]
011100011010 => [1,3,3,2,1,1,1]
011100100110 => [1,3,2,1,2,2,1]
01111100000110 => [1,5,5,2,1]
11100000001 => [3,7,1]
11010000001 => [2,1,1,6,1]
11001000001 => [2,2,1,5,1]
11000100001 => [2,3,1,4,1]
11000010001 => [2,4,1,3,1]
11000001001 => [2,5,1,2,1]
11000000101 => [2,6,1,1,1]
11000000011 => [2,7,2]
11000010010 => [2,4,1,2,1,1]
0010001100 => [2,1,3,2,2]
11000001000 => [2,5,1,3]
0100001000 => [1,1,4,1,3]
01000000100 => [1,1,6,1,2]
01111111011 => [1,7,1,2]
0111110111 => [1,5,1,3]
01111110101 => [1,6,1,1,1,1]
0111100111 => [1,4,2,3]
01111101001 => [1,5,1,1,2,1]
0111001011 => [1,3,2,1,1,2]
01111010001 => [1,4,1,1,3,1]
01110100001 => [1,3,1,1,4,1]
0100100011 => [1,1,2,1,3,2]
01101000001 => [1,2,1,1,5,1]
0001000011 => [3,1,4,2]
01010000001 => [1,1,1,1,6,1]
0010000010 => [2,1,5,1,1]
00100000001 => [2,1,7,1]
0001000001 => [3,1,5,1]
0001100001 => [3,2,4,1]
0010110001 => [2,1,1,2,3,1]
0011101101 => [2,3,1,2,1,1]
0011110111 => [2,4,1,3]
0000000100 => [7,1,2]
10111111101 => [1,1,7,1,1]
01011111101 => [1,1,1,6,1,1]
00101111101 => [2,1,1,5,1,1]
00010111101 => [3,1,1,4,1,1]
00001011101 => [4,1,1,3,1,1]
00000101101 => [5,1,1,2,1,1]
00000010101 => [6,1,1,1,1,1]
00000001001 => [7,1,2,1]
00000000100 => [8,1,2]
01101111111 => [1,2,1,7]
0111011111 => [1,3,1,5]
01010111111 => [1,1,1,1,1,6]
0111001111 => [1,3,2,4]
01001011111 => [1,1,2,1,1,5]
0110100111 => [1,2,1,1,2,3]
01000101111 => [1,1,3,1,1,4]
01000010111 => [1,1,4,1,1,3]
0110001001 => [1,2,3,1,2,1]
01000001011 => [1,1,5,1,1,2]
0110000100 => [1,2,4,1,2]
01000000101 => [1,1,6,1,1,1]
01000000010 => [1,1,7,1,1]
0110111001 => [1,2,1,3,2,1]
0001101001 => [3,2,1,1,2,1]
0000110001 => [4,2,3,1]
0000010001 => [5,1,3,1]
11111110010 => [7,2,1,1]
11111100010 => [6,3,1,1]
11111000010 => [5,4,1,1]
11110000010 => [4,5,1,1]
11100000010 => [3,6,1,1]
10111111111 => [1,1,9]
10111111000 => [1,1,6,3]
10111110000 => [1,1,5,4]
10111100000 => [1,1,4,5]
10111000000 => [1,1,3,6]
10110000000 => [1,1,2,7]
10011111101 => [1,2,6,1,1]
10001111101 => [1,3,5,1,1]
10000111101 => [1,4,4,1,1]
10000011101 => [1,5,3,1,1]
10000001101 => [1,6,2,1,1]
10000000101 => [1,7,1,1,1]
0111111010 => [1,6,1,1,1]
0011111010 => [2,5,1,1,1]
0000111010 => [4,3,1,1,1]
0000011010 => [5,2,1,1,1]
0000001010 => [6,1,1,1,1]
11111111011 => [8,1,2]
01111111010 => [1,7,1,1,1]
00111111010 => [2,6,1,1,1]
0101111010 => [1,1,1,4,1,1,1]
00011111010 => [3,5,1,1,1]
00001111010 => [4,4,1,1,1]
0001011010 => [3,1,1,2,1,1,1]
00000111010 => [5,3,1,1,1]
0000101010 => [4,1,1,1,1,1,1]
00000011010 => [6,2,1,1,1]
0000010010 => [5,1,2,1,1]
00000001010 => [7,1,1,1,1]
0010011111 => [2,1,2,5]
0000100111 => [4,1,2,3]
0000010011 => [5,1,2,2]
10011111111 => [1,2,8]
00100111111 => [2,1,2,6]
00010011111 => [3,1,2,5]
00001001111 => [4,1,2,4]
00000100111 => [5,1,2,3]
00000010011 => [6,1,2,2]
0010000000 => [2,1,7]
10101111111 => [1,1,1,1,7]
10100111111 => [1,1,1,2,6]
10100011111 => [1,1,1,3,5]
10100001111 => [1,1,1,4,4]
10100000111 => [1,1,1,5,3]
10100000011 => [1,1,1,6,2]
10100000001 => [1,1,1,7,1]
00100000000 => [2,1,8]
0001010101 => [3,1,1,1,1,1,1,1]
10110101010 => [1,1,2,1,1,1,1,1,1,1]
11010101010 => [2,1,1,1,1,1,1,1,1,1]
10101101010 => [1,1,1,1,2,1,1,1,1,1]
10101010100 => [1,1,1,1,1,1,1,1,1,2]
101010001110 => [1,1,1,1,1,3,3,1]
10101010010 => [1,1,1,1,1,1,1,2,1,1]
101010100110 => [1,1,1,1,1,1,1,2,2,1]
101000111010 => [1,1,1,3,3,1,1,1]
10101001010 => [1,1,1,1,1,2,1,1,1,1]
101010011010 => [1,1,1,1,1,2,2,1,1,1]
100011101010 => [1,3,3,1,1,1,1,1]
100110101010 => [1,2,2,1,1,1,1,1,1,1]
101001101010 => [1,1,1,2,2,1,1,1,1,1]
101001010110 => [1,1,1,2,1,1,1,1,2,1]
100101011010 => [1,2,1,1,1,1,2,1,1,1]
101010010110 => [1,1,1,1,1,2,1,1,2,1]
101001100110 => [1,1,1,2,2,2,2,1]
101001011010 => [1,1,1,2,1,1,2,1,1,1]
100110011010 => [1,2,2,2,2,1,1,1]
100101101010 => [1,2,1,1,2,1,1,1,1,1]
11111111100 => [9,2]
01001001010 => [1,1,2,1,2,1,1,1,1]
01001010010 => [1,1,2,1,1,1,2,1,1]
01010001010 => [1,1,1,1,3,1,1,1,1]
01010010010 => [1,1,1,1,2,1,2,1,1]
00100010010 => [2,1,3,1,2,1,1]
10100100010 => [1,1,1,2,1,3,1,1]
10100100100 => [1,1,1,2,1,2,1,2]
00100101010 => [2,1,2,1,1,1,1,1,1]
01010101010 => [1,1,1,1,1,1,1,1,1,1,1]
01010100010 => [1,1,1,1,1,1,3,1,1]
01000101010 => [1,1,3,1,1,1,1,1,1]
01000100010 => [1,1,3,1,3,1,1]
10101000100 => [1,1,1,1,1,3,1,2]
00101010010 => [2,1,1,1,1,1,2,1,1]
00101001010 => [2,1,1,1,2,1,1,1,1]
01001000100 => [1,1,2,1,3,1,2]
00100010101 => [2,1,3,1,1,1,1,1]
01001000101 => [1,1,2,1,3,1,1,1]
10001000101 => [1,3,1,3,1,1,1]
01000010001 => [1,1,4,1,3,1]
10100010001 => [1,1,1,3,1,3,1]
00101010100 => [2,1,1,1,1,1,1,1,2]
00101000100 => [2,1,1,1,3,1,2]
00100100100 => [2,1,2,1,2,1,2]
01010100100 => [1,1,1,1,1,1,2,1,2]
10010010001 => [1,2,1,2,1,3,1]
00010010100 => [3,1,2,1,1,1,2]
00100010100 => [2,1,3,1,1,1,2]
00010010010 => [3,1,2,1,2,1,1]
00010001010 => [3,1,3,1,1,1,1]
00100001001 => [2,1,4,1,2,1]
10010001001 => [1,2,1,3,1,2,1]
01001010101 => [1,1,2,1,1,1,1,1,1,1]
01010010100 => [1,1,1,1,2,1,1,1,2]
01000100101 => [1,1,3,1,2,1,1,1]
01010010101 => [1,1,1,1,2,1,1,1,1,1]
01010001000 => [1,1,1,1,3,1,3]
01010101001 => [1,1,1,1,1,1,1,1,2,1]
01001010100 => [1,1,2,1,1,1,1,1,2]
01000101001 => [1,1,3,1,1,1,2,1]
01010100101 => [1,1,1,1,1,1,2,1,1,1]
01001001000 => [1,1,2,1,2,1,3]
01010001001 => [1,1,1,1,3,1,2,1]
01000101000 => [1,1,3,1,1,1,3]
00101001000 => [2,1,1,1,2,1,3]
10010100101 => [1,2,1,1,1,2,1,1,1]
10100101001 => [1,1,1,2,1,1,1,2,1]
10010010101 => [1,2,1,2,1,1,1,1,1]
10100100101 => [1,1,1,2,1,2,1,1,1]
10101001001 => [1,1,1,1,1,2,1,2,1]
10101010101 => [1,1,1,1,1,1,1,1,1,1,1]
00001000010 => [4,1,4,1,1]
00010100010 => [3,1,1,1,3,1,1]
0000100010010 => [4,1,3,1,2,1,1]
00010000100 => [3,1,4,1,2]
00001000100 => [4,1,3,1,2]
00010100100 => [3,1,1,1,2,1,2]
00100100101 => [2,1,2,1,2,1,1,1]
10001001001 => [1,3,1,2,1,2,1]
00001001000 => [4,1,2,1,3]
00001010000 => [4,1,1,1,4]
00010001000 => [3,1,3,1,3]
00100101000 => [2,1,2,1,1,1,3]
00010101000 => [3,1,1,1,1,1,3]
00100010000 => [2,1,3,1,4]
00000100000 => [5,1,5]
00010010000 => [3,1,2,1,4]
01000010000 => [1,1,4,1,4]
00100001000 => [2,1,4,1,3]
011111000100 => [1,5,3,1,2]
011111000010 => [1,5,4,1,1]
011101100100 => [1,3,1,2,2,1,2]
011101100010 => [1,3,1,2,3,1,1]
011011100100 => [1,2,1,3,2,1,2]
011011010100 => [1,2,1,2,1,1,1,1,2]
011011100010 => [1,2,1,3,3,1,1]
011011010010 => [1,2,1,2,1,1,2,1,1]
011111010000 => [1,5,1,1,4]
011111001000 => [1,5,2,1,3]
001111001010 => [2,4,2,1,1,1,1]
011101110000 => [1,3,1,3,4]
011111100000 => [1,6,5]
011101101000 => [1,3,1,2,1,1,3]
010101101010 => [1,1,1,1,1,2,1,1,1,1,1]
001111000110 => [2,4,3,2,1]
010011110100 => [1,1,2,4,1,1,2]
010011101100 => [1,1,2,3,1,2,2]
011011110000 => [1,2,1,4,4]
011011101000 => [1,2,1,3,1,1,3]
010011011010 => [1,1,2,2,1,2,1,1,1]
001101100110 => [2,2,1,2,2,2,1]
001011010101 => [2,1,1,2,1,1,1,1,1,1]
001101010101 => [2,2,1,1,1,1,1,1,1,1]
001011010011 => [2,1,1,2,1,1,2,2]
001101010011 => [2,2,1,1,1,1,2,2]
001011001011 => [2,1,1,2,2,1,1,2]
001011001101 => [2,1,1,2,2,2,1,1]
001101001011 => [2,2,1,1,2,1,1,2]
001101001101 => [2,2,1,1,2,2,1,1]
001001110101 => [2,1,2,3,1,1,1,1]
001010101101 => [2,1,1,1,1,1,1,2,1,1]
001100101101 => [2,2,2,1,1,2,1,1]
001101000111 => [2,2,1,1,3,3]
001010110101 => [2,1,1,1,1,2,1,1,1,1]
001100110101 => [2,2,2,2,1,1,1,1]
001001100111 => [2,1,2,2,2,3]
001001101011 => [2,1,2,2,1,1,1,2]
000110110101 => [3,2,1,2,1,1,1,1]
001010100111 => [2,1,1,1,1,1,2,3]
001010101011 => [2,1,1,1,1,1,1,1,1,2]
001100101011 => [2,2,2,1,1,1,1,2]
001010110011 => [2,1,1,1,1,2,2,2]
001100110011 => [2,2,2,2,2,2]
000111010101 => [3,3,1,1,1,1,1,1]
001000110111 => [2,1,3,2,1,3]
001000111011 => [2,1,3,3,1,2]
001001010111 => [2,1,2,1,1,1,1,3]
001001011011 => [2,1,2,1,1,2,1,2]
001010010111 => [2,1,1,1,2,1,1,3]
001010011011 => [2,1,1,1,2,2,1,2]
001100011101 => [2,2,3,3,1,1]
000111010011 => [3,3,1,1,2,2]
010101001011 => [1,1,1,1,1,1,2,1,1,2]
010101010011 => [1,1,1,1,1,1,1,1,2,2]
010011001011 => [1,1,2,2,2,1,1,2]
010011010011 => [1,1,2,2,1,1,2,2]
010100011011 => [1,1,1,1,3,2,1,2]
010010101011 => [1,1,2,1,1,1,1,1,1,2]
010010110011 => [1,1,2,1,1,2,2,2]
010100101011 => [1,1,1,1,2,1,1,1,1,2]
010100110011 => [1,1,1,1,2,2,2,2]
000110011011 => [3,2,2,2,1,2]
010100100111 => [1,1,1,1,2,1,2,3]
000110101011 => [3,2,1,1,1,1,1,2]
010101000111 => [1,1,1,1,1,1,3,3]
000100111011 => [3,1,2,3,1,2]
000101011011 => [3,1,1,1,1,2,1,2]
000101101011 => [3,1,1,2,1,1,1,2]
010001110011 => [1,1,3,3,2,2]
010101101001 => [1,1,1,1,1,2,1,1,2,1]
010101011001 => [1,1,1,1,1,1,1,2,2,1]
100101101001 => [1,2,1,1,2,1,1,2,1]
100101011001 => [1,2,1,1,1,1,2,2,1]
101001101001 => [1,1,1,2,2,1,1,2,1]
011001101001 => [1,2,2,2,1,1,2,1]
101001011001 => [1,1,1,2,1,1,2,2,1]
011001011001 => [1,2,2,1,1,2,2,1]
010111001001 => [1,1,1,3,2,1,2,1]
011010101001 => [1,2,1,1,1,1,1,1,2,1]
011010011001 => [1,2,1,1,2,2,2,1]
110001011001 => [2,3,1,1,2,2,1]
010110101001 => [1,1,1,2,1,1,1,1,2,1]
010110011001 => [1,1,1,2,2,2,2,1]
110011001001 => [2,2,2,2,1,2,1]
101011001001 => [1,1,1,1,2,2,1,2,1]
010110110001 => [1,1,1,2,1,2,3,1]
110010101001 => [2,2,1,1,1,1,1,2,1]
101010101001 => [1,1,1,1,1,1,1,1,1,2,1]
101010011001 => [1,1,1,1,1,2,2,2,1]
100110101001 => [1,2,2,1,1,1,1,2,1]
100110011001 => [1,2,2,2,2,2,1]
010101110001 => [1,1,1,1,1,3,3,1]
110110001001 => [2,1,2,3,1,2,1]
101110001001 => [1,1,3,3,1,2,1]
110101001001 => [2,1,1,1,1,2,1,2,1]
101101001001 => [1,1,2,1,1,2,1,2,1]
110100101001 => [2,1,1,2,1,1,1,2,1]
101100101001 => [1,1,2,2,1,1,1,2,1]
011100011001 => [1,3,3,2,2,1]
100101110001 => [1,2,1,1,3,3,1]
010101011010 => [1,1,1,1,1,1,1,2,1,1,1]
010101010110 => [1,1,1,1,1,1,1,1,1,2,1]
011001011010 => [1,2,2,1,1,2,1,1,1]
011001010110 => [1,2,2,1,1,1,1,2,1]
011010011010 => [1,2,1,1,2,2,1,1,1]
010110011010 => [1,1,1,2,2,2,1,1,1]
011010010110 => [1,2,1,1,2,1,1,2,1]
010110010110 => [1,1,1,2,2,1,1,2,1]
010110101010 => [1,1,1,2,1,1,1,1,1,1,1]
010110100110 => [1,1,1,2,1,1,2,2,1]
011100010110 => [1,3,3,1,1,2,1]
010101100110 => [1,1,1,1,1,2,2,2,1]
011100110010 => [1,3,2,2,2,1,1]
011010110010 => [1,2,1,1,1,2,2,1,1]
011100101010 => [1,3,2,1,1,1,1,1,1]
011010101010 => [1,2,1,1,1,1,1,1,1,1,1]
011010100110 => [1,2,1,1,1,1,2,2,1]
011001101010 => [1,2,2,2,1,1,1,1,1]
011001100110 => [1,2,2,2,2,2,1]
010101011100 => [1,1,1,1,1,1,1,3,2]
011101010010 => [1,3,1,1,1,1,2,1,1]
011101001010 => [1,3,1,1,2,1,1,1,1]
011011001010 => [1,2,1,2,2,1,1,1,1]
010111000110 => [1,1,1,3,3,2,1]
011001011100 => [1,2,2,1,1,3,2]
100101101100 => [1,2,1,1,2,1,2,2]
100111001100 => [1,2,3,2,2,2]
001111110000 => [2,6,4]
001011110010 => [2,1,1,4,2,1,1]
001101110010 => [2,2,1,3,2,1,1]
001111100010 => [2,5,3,1,1]
100111010100 => [1,2,3,1,1,1,1,2]
001101111000 => [2,2,1,4,3]
001101110100 => [2,2,1,3,1,1,2]
001011101010 => [2,1,1,3,1,1,1,1,1]
001011010110 => [2,1,1,2,1,1,1,2,1]
010100011101 => [1,1,1,1,3,3,1,1]
010001110101 => [1,1,3,3,1,1,1,1]
000101010111 => [3,1,1,1,1,1,1,3]
000110010111 => [3,2,2,1,1,3]
000110100111 => [3,2,1,1,2,3]
010001101101 => [1,1,3,2,1,2,1,1]
000101001111 => [3,1,1,1,2,4]
000101100111 => [3,1,1,2,2,3]
001001001111 => [2,1,2,1,2,4]
001010001111 => [2,1,1,1,3,4]
000111001101 => [3,3,2,2,1,1]
010010011101 => [1,1,2,1,2,3,1,1]
000011010111 => [4,2,1,1,1,3]
000011011011 => [4,2,1,2,1,2]
000011101011 => [4,3,1,1,1,2]
010011000111 => [1,1,2,2,3,3]
110001010101 => [2,3,1,1,1,1,1,1,1]
101100010101 => [1,1,2,3,1,1,1,1,1]
011100010101 => [1,3,3,1,1,1,1,1]
100111000101 => [1,2,3,3,1,1,1]
010111000101 => [1,1,1,3,3,1,1,1]
110101010001 => [2,1,1,1,1,1,1,3,1]
110100110001 => [2,1,1,2,2,3,1]
110010110001 => [2,2,1,1,2,3,1]
101010110001 => [1,1,1,1,1,1,2,3,1]
011011000101 => [1,2,1,2,3,1,1,1]
111001010001 => [3,2,1,1,1,3,1]
110011010001 => [2,2,2,1,1,3,1]
111001001001 => [3,2,1,2,1,2,1]
101100110001 => [1,1,2,2,2,3,1]
111000101001 => [3,3,1,1,1,2,1]
011001110001 => [1,2,2,3,3,1]
011101010100 => [1,3,1,1,1,1,1,1,2]
011101001100 => [1,3,1,1,2,2,2]
011100101100 => [1,3,2,1,1,2,2]
011010101100 => [1,2,1,1,1,1,1,2,2]
011110010100 => [1,4,2,1,1,1,2]
011100110100 => [1,3,2,2,1,1,2]
011110010010 => [1,4,2,1,2,1,1]
011011001100 => [1,2,1,2,2,2,2]
011110001010 => [1,4,3,1,1,1,1]
010110011100 => [1,1,1,2,2,3,2]
101001110100 => [1,1,1,2,3,1,1,2]
010011001101 => [1,1,2,2,2,2,1,1]
110001100101 => [2,3,2,2,1,1,1]
011001100101 => [1,2,2,2,2,1,1,1]
001111100100 => [2,5,2,1,2]
000111100110 => [3,4,2,2,1]
001111101000 => [2,5,1,1,3]
000111101010 => [3,4,1,1,1,1,1]
001011101100 => [2,1,1,3,1,2,2]
000111101100 => [3,4,1,2,2]
000111110010 => [3,5,2,1,1]
000010111011 => [4,1,1,3,1,2]
001000101111 => [2,1,3,1,1,4]
100101010101 => [1,2,1,1,1,1,1,1,1,1,1]
100101100101 => [1,2,1,1,2,2,1,1,1]
101011010001 => [1,1,1,1,2,1,1,3,1]
100110010101 => [1,2,2,2,1,1,1,1,1]
101001010101 => [1,1,1,2,1,1,1,1,1,1,1]
101011100001 => [1,1,1,1,3,4,1]
101010100101 => [1,1,1,1,1,1,1,2,1,1,1]
101101010001 => [1,1,2,1,1,1,1,3,1]
100110100101 => [1,2,2,1,1,2,1,1,1]
101010010101 => [1,1,1,1,1,2,1,1,1,1,1]
101101100001 => [1,1,2,1,2,4,1]
101001100101 => [1,1,1,2,2,2,1,1,1]
101110010001 => [1,1,3,2,1,3,1]
101110100001 => [1,1,3,1,1,4,1]
110101100001 => [2,1,1,1,2,4,1]
011001010101 => [1,2,2,1,1,1,1,1,1,1]
011010110100 => [1,2,1,1,1,2,1,1,2]
011010010101 => [1,2,1,1,2,1,1,1,1,1]
011010111000 => [1,2,1,1,1,3,3]
011010100101 => [1,2,1,1,1,1,2,1,1,1]
011101011000 => [1,3,1,1,1,2,3]
010100101101 => [1,1,1,1,2,1,1,2,1,1]
010010110101 => [1,1,2,1,1,2,1,1,1,1]
010101001101 => [1,1,1,1,1,1,2,2,1,1]
010100110101 => [1,1,1,1,2,2,1,1,1,1]
010011010101 => [1,1,2,2,1,1,1,1,1,1]
010101010101 => [1,1,1,1,1,1,1,1,1,1,1,1]
010110100101 => [1,1,1,2,1,1,2,1,1,1]
010110010101 => [1,1,1,2,2,1,1,1,1,1]
010101100101 => [1,1,1,1,1,2,2,1,1,1]
010001111100 => [1,1,3,5,2]
010011111000 => [1,1,2,5,3]
001001111010 => [2,1,2,4,1,1,1]
001001111100 => [2,1,2,5,2]
001011111000 => [2,1,1,5,3]
001000011111 => [2,1,4,5]
000110001111 => [3,2,3,4]
000100011111 => [3,1,3,5]
000100101111 => [3,1,2,1,1,4]
000001111011 => [5,4,1,2]
000011100111 => [4,3,2,3]
000001110111 => [5,3,1,3]
000010110111 => [4,1,1,2,1,3]
111100001001 => [4,4,1,2,1]
111010001001 => [3,1,1,3,1,2,1]
111000110001 => [3,3,2,3,1]
111100010001 => [4,3,1,3,1]
111010010001 => [3,1,1,2,1,3,1]
011110100010 => [1,4,1,1,3,1,1]
011110001100 => [1,4,3,2,2]
011110100100 => [1,4,1,1,2,1,2]
110010010101 => [2,2,1,2,1,1,1,1,1]
011100100101 => [1,3,2,1,2,1,1,1]
000101111100 => [3,1,1,5,2]
000011111100 => [4,6,2]
001011110100 => [2,1,1,4,1,1,2]
000101111010 => [3,1,1,4,1,1,1]
000111110100 => [3,5,1,1,2]
000111111000 => [3,6,3]
000010011111 => [4,1,2,5]
000001011111 => [5,1,1,5]
000100110111 => [3,1,2,2,1,3]
000011001111 => [4,2,2,4]
000010101111 => [4,1,1,1,1,4]
000001101111 => [5,2,1,4]
111100100001 => [4,2,1,4,1]
111101000001 => [4,1,1,5,1]
110110010001 => [2,1,2,2,1,3,1]
111001100001 => [3,2,2,4,1]
110110100001 => [2,1,2,1,1,4,1]
111010100001 => [3,1,1,1,1,4,1]
011110011000 => [1,4,2,2,3]
011110101000 => [1,4,1,1,1,1,3]
000011110110 => [4,4,1,2,1]
000001111110 => [5,6,1]
000011111010 => [4,5,1,1,1]
000000111111 => [6,6]
110111000001 => [2,1,3,5,1]
111110000001 => [5,6,1]
111011000001 => [3,1,2,5,1]
011110110000 => [1,4,1,2,4]
000011101110 => [4,3,1,3,1]
000101110110 => [3,1,1,3,1,2,1]
101111000001 => [1,1,4,5,1]
110011100001 => [2,2,3,4,1]
011100111000 => [1,3,2,3,3]
00111111111 => [2,9]
00000000000 => [11]
01111101111 => [1,5,1,4]
01111010111 => [1,4,1,1,1,3]
01111011011 => [1,4,1,2,1,2]
01110110111 => [1,3,1,2,1,3]
11101111101 => [3,1,5,1,1]
01111011101 => [1,4,1,3,1,1]
01110101011 => [1,3,1,1,1,1,1,2]
10111110111 => [1,1,5,1,3]
01101110111 => [1,2,1,3,1,3]
11101111010 => [3,1,4,1,1,1]
01111011110 => [1,4,1,4,1]
11010111101 => [2,1,1,1,4,1,1]
01110101101 => [1,3,1,1,1,2,1,1]
11011111011 => [2,1,5,1,2]
01110111011 => [1,3,1,3,1,2]
10111101011 => [1,1,4,1,1,1,2]
01101101011 => [1,2,1,2,1,1,1,2]
01011110111 => [1,1,1,4,1,3]
11010111010 => [2,1,1,1,3,1,1,1]
11011010110 => [2,1,2,1,1,1,2,1]
01110101110 => [1,3,1,1,1,3,1]
11011011101 => [2,1,2,1,3,1,1]
10110111101 => [1,1,2,1,4,1,1]
11011110101 => [2,1,4,1,1,1,1]
01110110101 => [1,3,1,2,1,1,1,1]
10111101101 => [1,1,4,1,2,1,1]
01101101101 => [1,2,1,2,1,2,1,1]
10101111011 => [1,1,1,1,4,1,2]
10111011011 => [1,1,3,1,2,1,2]
01101011011 => [1,2,1,1,1,2,1,2]
01011101011 => [1,1,1,3,1,1,1,2]
00000100010 => [5,1,3,1,1]
01000100000 => [1,1,3,1,5]
00000010010 => [6,1,2,1,1]
00100000010 => [2,1,6,1,1]
00000001000 => [7,1,3]
00010000000 => [3,1,7]
01001000000 => [1,1,2,1,6]
01010000000 => [1,1,1,1,7]
00001010010 => [4,1,1,1,2,1,1]
00000100100 => [5,1,2,1,2]
00100100000 => [2,1,2,1,5]
01001010000 => [1,1,2,1,1,1,4]
00011000001 => [3,2,5,1]
00110001000 => [2,2,3,1,3]
00101000001 => [2,1,1,1,5,1]
01001000001 => [1,1,2,1,5,1]
00111000001 => [2,3,5,1]
01110010000 => [1,3,2,1,4]
10001000001 => [1,3,1,5,1]
01011000001 => [1,1,1,2,5,1]
00110100001 => [2,2,1,1,4,1]
10001100000 => [1,3,2,5]
10110010000 => [1,1,2,2,1,4]
01100010000 => [1,2,3,1,4]
01101010000 => [1,2,1,1,1,1,4]
00100011000 => [2,1,3,2,3]
10011000001 => [1,2,2,5,1]
01010100001 => [1,1,1,1,1,1,4,1]
00101100001 => [2,1,1,2,4,1]
00110010001 => [2,2,2,1,3,1]
10010100000 => [1,2,1,1,1,5]
11000100000 => [2,3,1,5]
11010010000 => [2,1,1,2,1,4]
10100010000 => [1,1,1,3,1,4]
10101010000 => [1,1,1,1,1,1,1,4]
01000110000 => [1,1,3,2,4]
01010010000 => [1,1,1,1,2,1,4]
01011010000 => [1,1,1,2,1,1,4]
01100110000 => [1,2,2,2,4]
00000100001 => [5,1,4,1]
00001010001 => [4,1,1,1,3,1]
00001001001 => [4,1,2,1,2,1]
00001000101 => [4,1,3,1,1,1]
00010101001 => [3,1,1,1,1,1,2,1]
00001000011 => [4,1,4,2]
00010100101 => [3,1,1,1,2,1,1,1]
00010100011 => [3,1,1,1,3,2]
00010010101 => [3,1,2,1,1,1,1,1]
10010010000 => [1,2,1,2,1,4]
10010101000 => [1,2,1,1,1,1,1,3]
10100101000 => [1,1,1,2,1,1,1,3]
11000010000 => [2,4,1,4]
10101001000 => [1,1,1,1,1,2,1,3]
11000101000 => [2,3,1,1,1,3]
11110111101 => [4,1,4,1,1]
10111101111 => [1,1,4,1,4]
11111011101 => [5,1,3,1,1]
10111011111 => [1,1,3,1,5]
11111101101 => [6,1,2,1,1]
11101011101 => [3,1,1,1,3,1,1]
11011111101 => [2,1,6,1,1]
11111110111 => [7,1,3]
10111111011 => [1,1,6,1,2]
10111010111 => [1,1,3,1,1,1,3]
11101111111 => [3,1,7]
10110111111 => [1,1,2,1,6]
11111110101 => [7,1,1,1,1]
11101101101 => [3,1,2,1,2,1,1]
11101110111 => [3,1,3,1,3]
11111011111 => [5,1,5]
10110110111 => [1,1,2,1,2,1,3]
11101110101 => [3,1,3,1,1,1,1]
11110101101 => [4,1,1,1,2,1,1]
11011101101 => [2,1,3,1,2,1,1]
10111011101 => [1,1,3,1,3,1,1]
11110110111 => [4,1,2,1,3]
11011110111 => [2,1,4,1,3]
11111011011 => [5,1,2,1,2]
11101111011 => [3,1,4,1,2]
10110111011 => [1,1,2,1,3,1,2]
11011011111 => [2,1,2,1,5]
11101101111 => [3,1,2,1,4]
10110101111 => [1,1,2,1,1,1,4]
10101110111 => [1,1,1,1,3,1,3]
10101111101 => [1,1,1,1,5,1,1]
10101011111 => [1,1,1,1,1,1,5]
01101111101 => [1,2,1,5,1,1]
10001111111 => [1,3,7]
11101011111 => [3,1,1,1,5]
10011011111 => [1,2,2,1,5]
10111110101 => [1,1,5,1,1,1,1]
01110111101 => [1,3,1,4,1,1]
01111110111 => [1,6,1,3]
11111001111 => [5,2,4]
10011101111 => [1,2,3,1,4]
11100111111 => [3,2,6]
10010111111 => [1,2,1,1,6]
01111011111 => [1,4,1,5]
11111111001 => [8,2,1]
11111010101 => [5,1,1,1,1,1,1]
11111011001 => [5,1,2,2,1]
11111110001 => [7,3,1]
11111010111 => [5,1,1,1,3]
11111101001 => [6,1,1,2,1]
11110111001 => [4,1,3,2,1]
11111100111 => [6,2,3]
11110011111 => [4,2,5]
100001000011 => [1,4,1,4,2]
111000010000 => [3,4,1,4]
100011100011 => [1,3,3,3,2]
100010110011 => [1,3,1,1,2,2,2]
100110100011 => [1,2,2,1,1,3,2]
100010011011 => [1,3,1,2,2,1,2]
100111110011 => [1,2,5,2,2]
101100100011 => [1,1,2,2,1,3,2]
111000100110 => [3,3,1,2,2,1]
111001111100 => [3,2,5,2]
101010001000 => [1,1,1,1,1,3,1,3]
100010001111 => [1,3,1,3,4]
100111011011 => [1,2,3,1,2,1,2]
100101010011 => [1,2,1,1,1,1,1,2,2]
101101110011 => [1,1,2,1,3,2,2]
111000100011 => [3,3,1,3,2]
100111001010 => [1,2,3,2,1,1,1,1]
111001110110 => [3,2,3,1,2,1]
100100100100 => [1,2,1,2,1,2,1,2]
101010011100 => [1,1,1,1,1,2,3,2]
111011011100 => [3,1,2,1,3,2]
100111001111 => [1,2,3,2,4]
100101111011 => [1,2,1,1,4,1,2]
101101011011 => [1,1,2,1,1,1,2,1,2]
101111010011 => [1,1,4,1,1,2,2]
111001110011 => [3,2,3,2,2]
111001011110 => [3,2,1,1,4,1]
111011010110 => [3,1,2,1,1,1,2,1]
111011110100 => [3,1,4,1,1,2]
111110011100 => [5,2,3,2]
010001011110 => [1,1,3,1,1,4,1]
001001011110 => [2,1,2,1,1,4,1]
011000110110 => [1,2,3,2,1,2,1]
001101001110 => [2,2,1,1,2,3,1]
001011001110 => [2,1,1,2,2,3,1]
000101011110 => [3,1,1,1,1,4,1]
110010011100 => [2,2,1,2,3,2]
001100111010 => [2,2,2,3,1,1,1]
111000010110 => [3,4,1,1,2,1]
001001101110 => [2,1,2,2,1,3,1]
001101011100 => [2,2,1,1,1,3,2]
001110011010 => [2,3,2,2,1,1,1]
110100011010 => [2,1,1,3,2,1,1,1]
001101011010 => [2,2,1,1,1,2,1,1,1]
001110101010 => [2,3,1,1,1,1,1,1,1]
101100011010 => [1,1,2,3,2,1,1,1]
010100111010 => [1,1,1,1,2,3,1,1,1]
001111100001 => [2,5,4,1]
000111110001 => [3,5,3,1]
001110111000 => [2,3,1,3,3]
000111101001 => [3,4,1,1,2,1]
001011110001 => [2,1,1,4,3,1]
001110110100 => [2,3,1,2,1,1,2]
000111100101 => [3,4,2,1,1,1]
000011111001 => [4,5,2,1]
001101110001 => [2,2,1,3,3,1]
001110110010 => [2,3,1,2,2,1,1]
000110111100 => [3,2,1,4,2]
000111100011 => [3,4,3,2]
001011101001 => [2,1,1,3,1,1,2,1]
000101111001 => [3,1,1,4,2,1]
001110110001 => [2,3,1,2,3,1]
000110111010 => [3,2,1,3,1,1,1]
001010111100 => [2,1,1,1,1,4,2]
001001111001 => [2,1,2,4,2,1]
000110111001 => [3,2,1,3,2,1]
000110110110 => [3,2,1,2,1,2,1]
001010111010 => [2,1,1,1,1,3,1,1,1]
010010111100 => [1,1,2,1,1,4,2]
001100111100 => [2,2,2,4,2]
011110000011 => [1,4,5,2]
011100000111 => [1,3,5,3]
011010000111 => [1,2,1,1,4,3]
011100001011 => [1,3,4,1,1,2]
110100100011 => [2,1,1,2,1,3,2]
010110000111 => [1,1,1,2,4,3]
011000001111 => [1,2,5,4]
011100010011 => [1,3,3,1,2,2]
110000100111 => [2,4,1,2,3]
001110000111 => [2,3,4,3]
011010001011 => [1,2,1,1,3,1,1,2]
011000010111 => [1,2,4,1,1,3]
011100100011 => [1,3,2,1,3,2]
101100001101 => [1,1,2,4,2,1,1]
101000100111 => [1,1,1,3,1,2,3]
110010010011 => [2,2,1,2,1,2,2]
110000101011 => [2,4,1,1,1,1,2]
011000011011 => [1,2,4,2,1,2]
011000100111 => [1,2,3,1,2,3]
101010001101 => [1,1,1,1,1,3,2,1,1]
100110001011 => [1,2,2,3,1,1,2]
100100100111 => [1,2,1,2,1,2,3]
101010010011 => [1,1,1,1,1,2,1,2,2]
101000101011 => [1,1,1,3,1,1,1,1,2]
110000101101 => [2,4,1,1,2,1,1]
110000110011 => [2,4,2,2,2]
010011110001 => [1,1,2,4,3,1]
000111011001 => [3,3,1,2,2,1]
100110111000 => [1,2,2,1,3,3]
001110101100 => [2,3,1,1,1,2,2]
100011110001 => [1,3,4,3,1]
001111010001 => [2,4,1,1,3,1]
001110011100 => [2,3,2,3,2]
001111001001 => [2,4,2,1,2,1]
010000111110 => [1,1,4,5,1]
010100111100 => [1,1,1,1,2,4,2]
010001110110 => [1,1,3,3,1,2,1]
011000111100 => [1,2,3,4,2]
010010111010 => [1,1,2,1,1,3,1,1,1]
010001101110 => [1,1,3,2,1,3,1]
001010111001 => [2,1,1,1,1,3,2,1]
001010110110 => [2,1,1,1,1,2,1,2,1]
100000111101 => [1,5,4,1,1]
110000011101 => [2,5,3,1,1]
100010010111 => [1,3,1,2,1,1,3]
101000011101 => [1,1,1,4,3,1,1]
110010000111 => [2,2,1,4,3]
100100011101 => [1,2,1,3,3,1,1]
111000001101 => [3,5,2,1,1]
110000110101 => [2,4,2,1,1,1,1]
101010000111 => [1,1,1,1,1,4,3]
110010001011 => [2,2,1,3,1,1,2]
100010011101 => [1,3,1,2,3,1,1]
110100001101 => [2,1,1,4,2,1,1]
101000101101 => [1,1,1,3,1,1,2,1,1]
110000111001 => [2,4,3,2,1]
100110000111 => [1,2,2,4,3]
101010001011 => [1,1,1,1,1,3,1,1,2]
110010001101 => [2,2,1,3,2,1,1]
100100101011 => [1,2,1,2,1,1,1,1,2]
101000110011 => [1,1,1,3,2,2,2]
011000101011 => [1,2,3,1,1,1,1,2]
011000011110 => [1,2,4,4,1]
011000101110 => [1,2,3,1,1,3,1]
001110001110 => [2,3,3,3,1]
011001001110 => [1,2,2,1,2,3,1]
010110001110 => [1,1,1,2,3,3,1]
010011100110 => [1,1,2,3,2,2,1]
001110010110 => [2,3,2,1,1,2,1]
101000001111 => [1,1,1,5,4]
101000010111 => [1,1,1,4,1,1,3]
101000011011 => [1,1,1,4,2,1,2]
101001000111 => [1,1,1,2,1,3,3]
100001111001 => [1,4,4,2,1]
101001001011 => [1,1,1,2,1,2,1,1,2]
100010111001 => [1,3,1,1,3,2,1]
101001010011 => [1,1,1,2,1,1,1,2,2]
101001001101 => [1,1,1,2,1,2,2,1,1]
101000110101 => [1,1,1,3,2,1,1,1,1]
100110010011 => [1,2,2,2,1,2,2]
100110001101 => [1,2,2,3,2,1,1]
100101100011 => [1,2,1,1,2,3,2]
100100111001 => [1,2,1,2,3,2,1]
100011100101 => [1,3,3,2,1,1,1]
100011011001 => [1,3,2,1,2,2,1]
100011101001 => [1,3,3,1,1,2,1]
010010111001 => [1,1,2,1,1,3,2,1]
010011100101 => [1,1,2,3,2,1,1,1]
001101011001 => [2,2,1,1,1,2,2,1]
001110101001 => [2,3,1,1,1,1,2,1]
001110100101 => [2,3,1,1,2,1,1,1]
001110011001 => [2,3,2,2,2,1]
111000001011 => [3,5,1,1,2]
110100001011 => [2,1,1,4,1,1,2]
101100001011 => [1,1,2,4,1,1,2]
110001001011 => [2,3,1,2,1,1,2]
001111000011 => [2,4,4,2]
001110100011 => [2,3,1,1,3,2]
100101001011 => [1,2,1,1,1,2,1,1,2]
011001001011 => [1,2,2,1,2,1,1,2]
010110001011 => [1,1,1,2,3,1,1,2]
100100110011 => [1,2,1,2,2,2,2]
011000110011 => [1,2,3,2,2,2]
100011010011 => [1,3,2,1,1,2,2]
001110010011 => [2,3,2,1,2,2]
010011100011 => [1,1,2,3,3,2]
001101100011 => [2,2,1,2,3,2]
000110011110 => [3,2,2,4,1]
100110011100 => [1,2,2,2,3,2]
001010101110 => [2,1,1,1,1,1,1,3,1]
100110110010 => [1,2,2,1,2,2,1,1]
010010110110 => [1,1,2,1,1,2,1,2,1]
001110001101 => [2,3,3,2,1,1]
001011100101 => [2,1,1,3,2,1,1,1]
001100111001 => [2,2,2,3,2,1]
001011011001 => [2,1,1,2,1,2,2,1]
001100110110 => [2,2,2,2,1,2,1]
11100010000 => [3,3,1,4]
11100100000 => [3,2,1,5]
11101000000 => [3,1,1,6]
11111000001 => [5,5,1]
0010001000 => [2,1,3,1,3]
10100111101 => [1,1,1,2,4,1,1]
01110111111 => [1,3,1,6]
11111101010 => [6,1,1,1,1,1]
10101000000 => [1,1,1,1,1,6]
10110100000 => [1,1,2,1,1,5]
0001000101 => [3,1,3,1,1,1]
00000101010 => [5,1,1,1,1,1,1]
0000100011 => [4,1,3,2]
0001001011 => [3,1,2,1,1,2]
10100101111 => [1,1,1,2,1,1,4]
0000100010 => [4,1,3,1,1]
11111100101 => [6,2,1,1,1]
01011000000 => [1,1,1,2,6]
0101010000 => [1,1,1,1,1,1,4]
01011100000 => [1,1,1,3,5]
11011111111 => [2,1,8]
10010111101 => [1,2,1,1,4,1,1]
10111000001 => [1,1,3,5,1]
10111111001 => [1,1,6,2,1]
00000010100 => [6,1,1,1,2]
0000100100 => [4,1,2,1,2]
11111110100 => [7,1,1,2]
0010010011 => [2,1,2,1,2,2]
11001000000 => [2,2,1,6]
11101100000 => [3,1,2,5]
11011000000 => [2,1,2,6]
0001000111 => [3,1,3,3]
11010111111 => [2,1,1,1,6]
10010101001 => [1,2,1,1,1,1,1,2,1]
010010101101 => [1,1,2,1,1,1,1,2,1,1]
00001000100101 => [4,1,3,1,2,1,1,1]
0000100010011 => [4,1,3,1,2,2]
000010001001 => [4,1,3,1,2,1]
0000100010101 => [4,1,3,1,1,1,1,1]
000010001010 => [4,1,3,1,1,1,1]
000010001011 => [4,1,3,1,1,2]
00001000111 => [4,1,3,3]
0000100100101 => [4,1,2,1,2,1,1,1]
000010010010 => [4,1,2,1,2,1,1]
000010010011 => [4,1,2,1,2,2]
000010010101 => [4,1,2,1,1,1,1,1]
00001001010 => [4,1,2,1,1,1,1]
00001001011 => [4,1,2,1,1,2]
0000100101 => [4,1,2,1,1,1]
00001010101 => [4,1,1,1,1,1,1,1]
0000101011 => [4,1,1,1,1,2]
0001000100101 => [3,1,3,1,2,1,1,1]
000100010010 => [3,1,3,1,2,1,1]
000100010011 => [3,1,3,1,2,2]
0001000100 => [3,1,3,1,2]
000100010101 => [3,1,3,1,1,1,1,1]
00010001011 => [3,1,3,1,1,2]
000100100101 => [3,1,2,1,2,1,1,1]
00010010011 => [3,1,2,1,2,2]
0001001001 => [3,1,2,1,2,1]
0001001010 => [3,1,2,1,1,1,1]
0010010010 => [2,1,2,1,2,1,1]
0010010101 => [2,1,2,1,1,1,1,1]
0100100010000 => [1,1,2,1,3,1,4]
1100100010000 => [2,2,1,3,1,4]
100100010000 => [1,2,1,3,1,4]
1010100010000 => [1,1,1,1,1,3,1,4]
010100010000 => [1,1,1,1,3,1,4]
110100010000 => [2,1,1,3,1,4]
0100010000 => [1,1,3,1,4]
1010010010000 => [1,1,1,2,1,2,1,4]
010010010000 => [1,1,2,1,2,1,4]
110010010000 => [2,2,1,2,1,4]
0010010000 => [2,1,2,1,4]
101010010000 => [1,1,1,1,1,2,1,4]
1010010001000 => [1,1,1,2,1,3,1,3]
010010001000 => [1,1,2,1,3,1,3]
110010001000 => [2,2,1,3,1,3]
11010001000 => [2,1,1,3,1,3]
101001001000 => [1,1,1,2,1,2,1,3]
11001001000 => [2,2,1,2,1,3]
0101001000 => [1,1,1,1,2,1,3]
0100100100 => [1,1,2,1,2,1,2]
11010100000 => [2,1,1,1,1,5]
10100100000 => [1,1,1,2,1,5]
11011011010 => [2,1,2,1,2,1,1,1]
111011101010 => [3,1,3,1,1,1,1,1]
11110101010 => [4,1,1,1,1,1,1,1]
11110110101 => [4,1,2,1,1,1,1]
11110111010 => [4,1,3,1,1,1]
11110111011 => [4,1,3,1,2]
01011011011 => [1,1,1,2,1,2,1,2]
01010101111 => [1,1,1,1,1,1,1,4]
10101101111 => [1,1,1,1,2,1,4]
01011101111 => [1,1,1,3,1,4]
11011101111 => [2,1,3,1,4]
01100100000 => [1,2,2,1,5]
00010100000 => [3,1,1,1,5]
10101000001 => [1,1,1,1,1,5,1]
00010101010 => [3,1,1,1,1,1,1,1,1]
01010110000 => [1,1,1,1,1,2,4]
00101010000 => [2,1,1,1,1,1,4]
00100110000 => [2,1,2,2,4]
10100100001 => [1,1,1,2,1,4,1]
01010101000 => [1,1,1,1,1,1,1,1,3]
01101101010 => [1,2,1,2,1,1,1,1,1]
11011101010 => [2,1,3,1,1,1,1,1]
01011011010 => [1,1,1,2,1,2,1,1,1]
10111011010 => [1,1,3,1,2,1,1,1]
01101011010 => [1,2,1,1,1,2,1,1,1]
01110111010 => [1,3,1,3,1,1,1]
01010110110 => [1,1,1,1,1,2,1,2,1]
01101110110 => [1,2,1,3,1,2,1]
01011010110 => [1,1,1,2,1,1,1,2,1]
01101010110 => [1,2,1,1,1,1,1,2,1]
01110110110 => [1,3,1,2,1,2,1]
01011101110 => [1,1,1,3,1,3,1]
01101101110 => [1,2,1,2,1,3,1]
01010101101 => [1,1,1,1,1,1,1,2,1,1]
10110101101 => [1,1,2,1,1,1,2,1,1]
10101101101 => [1,1,1,1,2,1,2,1,1]
01011011101 => [1,1,1,2,1,3,1,1]
01101011101 => [1,2,1,1,1,3,1,1]
10101011101 => [1,1,1,1,1,1,3,1,1]
01010110101 => [1,1,1,1,1,2,1,1,1,1]
10110110101 => [1,1,2,1,2,1,1,1,1]
01101110101 => [1,2,1,3,1,1,1,1]
10101110101 => [1,1,1,1,3,1,1,1,1]
01011010101 => [1,1,1,2,1,1,1,1,1,1]
10111010101 => [1,1,3,1,1,1,1,1,1]
01101010101 => [1,2,1,1,1,1,1,1,1,1]
11011010101 => [2,1,2,1,1,1,1,1,1]
11010110101 => [2,1,1,1,2,1,1,1,1]
01011101101 => [1,1,1,3,1,2,1,1]
11010101101 => [2,1,1,1,1,1,2,1,1]
01010111011 => [1,1,1,1,1,3,1,2]
01101111011 => [1,2,1,4,1,2]
10101011011 => [1,1,1,1,1,1,2,1,2]
11011011011 => [2,1,2,1,2,1,2]
11010111011 => [2,1,1,1,3,1,2]
10101101011 => [1,1,1,1,2,1,1,1,2]
11011101011 => [2,1,3,1,1,1,2]
10110101011 => [1,1,2,1,1,1,1,1,2]
11010101011 => [2,1,1,1,1,1,1,1,2]
11101101011 => [3,1,2,1,1,1,2]
11101011011 => [3,1,1,1,2,1,2]
11010110111 => [2,1,1,1,2,1,3]
11011010111 => [2,1,2,1,1,1,3]
11101010111 => [3,1,1,1,1,1,3]
11110101111 => [4,1,1,1,4]
01000001010 => [1,1,5,1,1,1,1]
01010000010 => [1,1,1,1,5,1,1]
00000101000 => [5,1,1,1,3]
00001010100 => [4,1,1,1,1,1,2]
01010100000 => [1,1,1,1,1,1,5]
00000010000 => [6,1,4]
00101000000 => [2,1,1,1,6]
00001000000 => [4,1,6]
11101000001 => [3,1,1,5,1]
11010100001 => [2,1,1,1,1,4,1]
11011000001 => [2,1,2,5,1]
10101100001 => [1,1,1,1,2,4,1]
10110100001 => [1,1,2,1,1,4,1]
10010100001 => [1,2,1,1,1,4,1]
01011100001 => [1,1,1,3,4,1]
01001100001 => [1,1,2,2,4,1]
01101100001 => [1,2,1,2,4,1]
01100100001 => [1,2,2,1,4,1]
00100110001 => [2,1,2,2,3,1]
10101100000 => [1,1,1,1,2,5]
10010110000 => [1,2,1,1,2,4]
10011010000 => [1,2,2,1,1,4]
10011100000 => [1,2,3,5]
11011100000 => [2,1,3,5]
11001010000 => [2,2,1,1,1,4]
11001100000 => [2,2,2,5]
11110100000 => [4,1,1,5]
11111000000 => [5,6]
10100110000 => [1,1,1,2,2,4]
10011000000 => [1,2,2,6]
01001110000 => [1,1,2,3,4]
01001100000 => [1,1,2,2,5]
01101100000 => [1,2,1,2,5]
01110100000 => [1,3,1,1,5]
01111000000 => [1,4,6]
01101000000 => [1,2,1,1,6]
00101100000 => [2,1,1,2,5]
00110010000 => [2,2,2,1,4]
00110100000 => [2,2,1,1,5]
00111000000 => [2,3,6]
00011000000 => [3,2,6]
01010101011 => [1,1,1,1,1,1,1,1,1,2]
00100101011 => [2,1,2,1,1,1,1,2]
01001001011 => [1,1,2,1,2,1,1,2]
00101001011 => [2,1,1,1,2,1,1,2]
01010010011 => [1,1,1,1,2,1,2,2]
00100010011 => [2,1,3,1,2,2]
01001010011 => [1,1,2,1,1,1,2,2]
00101010011 => [2,1,1,1,1,1,2,2]
01000100011 => [1,1,3,1,3,2]
00100100011 => [2,1,2,1,3,2]
00101010101 => [2,1,1,1,1,1,1,1,1,1]
11001001010 => [2,2,1,2,1,1,1,1]
11010010010 => [2,1,1,2,1,2,1,1]
11001010010 => [2,2,1,1,1,2,1,1]
11000100010 => [2,3,1,3,1,1]
11010100100 => [2,1,1,1,1,2,1,2]
11001000100 => [2,2,1,3,1,2]
11010010100 => [2,1,1,2,1,1,1,2]
11001010100 => [2,2,1,1,1,1,1,2]
11000100100 => [2,3,1,2,1,2]
11101010101 => [3,1,1,1,1,1,1,1,1]
10101010111 => [1,1,1,1,1,1,1,1,3]
11110101011 => [4,1,1,1,1,1,2]
11111101011 => [6,1,1,1,2]
11010101111 => [2,1,1,1,1,1,4]
11111101111 => [6,1,4]
11110111111 => [4,1,6]
11111111111 => [11]
01111010101 => [1,4,1,1,1,1,1,1]
10011110101 => [1,2,4,1,1,1,1]
01011110101 => [1,1,1,4,1,1,1,1]
11100111101 => [3,2,4,1,1]
01010111101 => [1,1,1,1,1,4,1,1]
10011110111 => [1,2,4,1,3]
10101001111 => [1,1,1,1,1,2,4]
11101001111 => [3,1,1,2,4]
10111001111 => [1,1,3,2,4]
01111001111 => [1,4,2,4]
11100101111 => [3,2,1,1,4]
10010101111 => [1,2,1,1,1,1,4]
01110101111 => [1,3,1,1,1,4]
00111101111 => [2,4,1,4]
00101111111 => [2,1,1,7]
01011011111 => [1,1,1,2,1,5]
01101011111 => [1,2,1,1,1,5]
11110010101 => [4,2,1,1,1,1,1]
10111100101 => [1,1,4,2,1,1,1]
11110100101 => [4,1,1,2,1,1,1]
11110011101 => [4,2,3,1,1]
10101111001 => [1,1,1,1,4,2,1]
11101111001 => [3,1,4,2,1]
10111101001 => [1,1,4,1,1,2,1]
11110101001 => [4,1,1,1,1,2,1]
11110010111 => [4,2,1,1,3]
10111100111 => [1,1,4,2,3]
11110100111 => [4,1,1,2,3]
10111101010 => [1,1,4,1,1,1,1,1]
11111011010 => [5,1,2,1,1,1]
11111010110 => [5,1,1,1,2,1]
11110111100 => [4,1,4,2]
111111111111 => [12]
101011111111 => [1,1,1,1,8]
111010111111 => [3,1,1,1,6]
101110111111 => [1,1,3,1,6]
100100111111 => [1,2,1,2,6]
111110101111 => [5,1,1,1,4]
101010101111 => [1,1,1,1,1,1,1,1,4]
111011101111 => [3,1,3,1,4]
101111101111 => [1,1,5,1,4]
100101101111 => [1,2,1,1,2,1,4]
111001001111 => [3,2,1,2,4]
101101001111 => [1,1,2,1,1,2,4]
111111101011 => [7,1,1,1,2]
101011101011 => [1,1,1,1,3,1,1,1,2]
111010101011 => [3,1,1,1,1,1,1,1,2]
101110101011 => [1,1,3,1,1,1,1,1,2]
111110111011 => [5,1,3,1,2]
101010111011 => [1,1,1,1,1,1,3,1,2]
111011111011 => [3,1,5,1,2]
101111111011 => [1,1,7,1,2]
111001011011 => [3,2,1,1,2,1,2]
111110010011 => [5,2,1,2,2]
111011010011 => [3,1,2,1,1,2,2]
111111111010 => [9,1,1,1]
101011111010 => [1,1,1,1,5,1,1,1]
111010111010 => [3,1,1,1,3,1,1,1]
101110111010 => [1,1,3,1,3,1,1,1]
111110101010 => [5,1,1,1,1,1,1,1]
101111101010 => [1,1,5,1,1,1,1,1]
111010101110 => [3,1,1,1,1,1,3,1]
101110101110 => [1,1,3,1,1,1,3,1]
111110010110 => [5,2,1,1,2,1]
101111010110 => [1,1,4,1,1,1,2,1]
101101110110 => [1,1,2,1,3,1,2,1]
101100100110 => [1,1,2,2,1,2,2,1]
100110100110 => [1,2,2,1,1,2,2,1]
111111100100 => [7,2,1,2]
111110110100 => [5,1,2,1,1,2]
101111110100 => [1,1,6,1,1,2]
100010010100 => [1,3,1,2,1,1,1,2]
101111011100 => [1,1,4,1,3,2]
100101011100 => [1,2,1,1,1,1,3,2]
101101111100 => [1,1,2,1,5,2]
100111111100 => [1,2,7,2]
100110101100 => [1,2,2,1,1,1,2,2]
100101001000 => [1,2,1,1,1,2,1,3]
100010101000 => [1,3,1,1,1,1,1,3]
100001011000 => [1,4,1,1,2,3]
101100010000 => [1,1,2,3,1,4]
100110010000 => [1,2,2,2,1,4]
100011010000 => [1,3,2,1,1,4]
100001110000 => [1,4,3,4]
100110110100 => [1,2,2,1,2,1,1,2]
000010111110 => [4,1,1,5,1]
000110101110 => [3,2,1,1,1,3,1]
001010011110 => [2,1,1,1,2,4,1]
010010011110 => [1,1,2,1,2,4,1]
100100111100 => [1,2,1,2,4,2]
101100011100 => [1,1,2,3,3,2]
110100011100 => [2,1,1,3,3,2]
000100111110 => [3,1,2,5,1]
001100101110 => [2,2,2,1,1,3,1]
001100011110 => [2,2,3,4,1]
010100011110 => [1,1,1,1,3,4,1]
111000011010 => [3,4,2,1,1,1]
101000111100 => [1,1,1,3,4,2]
111000011100 => [3,4,3,2]
011000111010 => [1,2,3,3,1,1,1]
001000111110 => [2,1,3,5,1]
110000110110 => [2,4,2,1,2,1]
110000111010 => [2,4,3,1,1,1]
110000111100 => [2,4,4,2]
001101101001 => [2,2,1,2,1,1,2,1]
011010010011 => [1,2,1,1,2,1,2,2]
100100101101 => [1,2,1,2,1,1,2,1,1]
100000111011 => [1,5,3,1,2]
100100011011 => [1,2,1,3,2,1,2]
100000110111 => [1,5,2,1,3]
100000101111 => [1,5,1,1,4]
100000011111 => [1,6,5]
100100010111 => [1,2,1,3,1,1,3]
100100001111 => [1,2,1,4,4]
101100010011 => [1,1,2,3,1,2,2]
101100000111 => [1,1,2,5,3]
101110000011 => [1,1,3,5,2]
110000011011 => [2,5,2,1,2]
110000010111 => [2,5,1,1,3]
110000001111 => [2,6,4]
110100010011 => [2,1,1,3,1,2,2]
110100000111 => [2,1,1,5,3]
110110000011 => [2,1,2,5,2]
111000010011 => [3,4,1,2,2]
111000000111 => [3,6,3]
111010000011 => [3,1,1,5,2]
111100000011 => [4,6,2]
010011101001 => [1,1,2,3,1,1,2,1]
100110010110 => [1,2,2,2,1,1,2,1]
100101100110 => [1,2,1,1,2,2,2,1]
011010001110 => [1,2,1,1,3,3,1]
010101001110 => [1,1,1,1,1,1,2,3,1]
010100110110 => [1,1,1,1,2,2,1,2,1]
010100101110 => [1,1,1,1,2,1,1,3,1]
010011010110 => [1,1,2,2,1,1,1,2,1]
010011001110 => [1,1,2,2,2,3,1]
010010101110 => [1,1,2,1,1,1,1,3,1]
001110100110 => [2,3,1,1,2,2,1]
001101010110 => [2,2,1,1,1,1,1,2,1]
101010100011 => [1,1,1,1,1,1,1,3,2]
101001100011 => [1,1,1,2,2,3,2]
101000111001 => [1,1,1,3,3,2,1]
100101001101 => [1,2,1,1,1,2,2,1,1]
100101000111 => [1,2,1,1,1,3,3]
100100110101 => [1,2,1,2,2,1,1,1,1]
100011010101 => [1,3,2,1,1,1,1,1,1]
100011001101 => [1,3,2,2,2,1,1]
100011001011 => [1,3,2,2,1,1,2]
100011000111 => [1,3,2,3,3]
100010110101 => [1,3,1,1,2,1,1,1,1]
100010101101 => [1,3,1,1,1,1,2,1,1]
100010101011 => [1,3,1,1,1,1,1,1,2]
100010100111 => [1,3,1,1,1,2,3]
100001110101 => [1,4,3,1,1,1,1]
100001110011 => [1,4,3,2,2]
100001101101 => [1,4,2,1,2,1,1]
100001101011 => [1,4,2,1,1,1,2]
100001100111 => [1,4,2,2,3]
100001011101 => [1,4,1,1,3,1,1]
100001011011 => [1,4,1,1,2,1,2]
100001010111 => [1,4,1,1,1,1,3]
100001001111 => [1,4,1,2,4]
010011011001 => [1,1,2,2,1,2,2,1]
010001111001 => [1,1,3,4,2,1]
001110010101 => [2,3,2,1,1,1,1,1]
001111000101 => [2,4,3,1,1,1]
001101100101 => [2,2,1,2,2,1,1,1]
001110001011 => [2,3,3,1,1,2]
011001010011 => [1,2,2,1,1,1,2,2]
110001010011 => [2,3,1,1,1,2,2]
010110010011 => [1,1,1,2,2,1,2,2]
001011100011 => [2,1,1,3,3,2]
010101100011 => [1,1,1,1,1,2,3,2]
011001100011 => [1,2,2,2,3,2]
110001100011 => [2,3,2,3,2]
010110100011 => [1,1,1,2,1,1,3,2]
011010100011 => [1,2,1,1,1,1,3,2]
110010100011 => [2,2,1,1,1,3,2]
010111000011 => [1,1,1,3,4,2]
100111000011 => [1,2,3,4,2]
011011000011 => [1,2,1,2,4,2]
101011000011 => [1,1,1,1,2,4,2]
110011000011 => [2,2,2,4,2]
011101000011 => [1,3,1,1,4,2]
101101000011 => [1,1,2,1,1,4,2]
110101000011 => [2,1,1,1,1,4,2]
111001000011 => [3,2,1,4,2]
111111010010010010010010 => [6,1,1,2,1,2,1,2,1,2,1,2,1,1]
111110100100100100110100 => [5,1,1,2,1,2,1,2,1,2,2,1,1,2]
111110100100100110100010 => [5,1,1,2,1,2,1,2,2,1,1,3,1,1]
111101001001001110100100 => [4,1,1,2,1,2,1,2,3,1,1,2,1,2]
111101001001001101101000 => [4,1,1,2,1,2,1,2,2,1,2,1,1,3]
111110100100110100010010 => [5,1,1,2,1,2,2,1,1,3,1,2,1,1]
111101001001101000110100 => [4,1,1,2,1,2,2,1,1,3,2,1,1,2]
111101001001110100100010 => [4,1,1,2,1,2,3,1,1,2,1,3,1,1]
111010010011110100100100 => [3,1,1,2,1,2,4,1,1,2,1,2,1,2]
111010010011101001101000 => [3,1,1,2,1,2,3,1,1,2,2,1,1,3]
111101001001101101000010 => [4,1,1,2,1,2,2,1,2,1,1,4,1,1]
111010010011101101000100 => [3,1,1,2,1,2,3,1,2,1,1,3,1,2]
111010010011011101001000 => [3,1,1,2,1,2,2,1,3,1,1,2,1,3]
111010010011011011010000 => [3,1,1,2,1,2,2,1,2,1,2,1,1,4]
111110100110100010010010 => [5,1,1,2,2,1,1,3,1,2,1,2,1,1]
111101001101000100110100 => [4,1,1,2,2,1,1,3,1,2,2,1,1,2]
111101001101000110100010 => [4,1,1,2,2,1,1,3,2,1,1,3,1,1]
111010011010001110100100 => [3,1,1,2,2,1,1,3,3,1,1,2,1,2]
111010011010001101101000 => [3,1,1,2,2,1,1,3,2,1,2,1,1,3]
111101001110100100010010 => [4,1,1,2,3,1,1,2,1,3,1,2,1,1]
111010011101001000110100 => [3,1,1,2,3,1,1,2,1,3,2,1,1,2]
111010011110100100100010 => [3,1,1,2,4,1,1,2,1,2,1,3,1,1]
110100111110100100100100 => [2,1,1,2,5,1,1,2,1,2,1,2,1,2]
110100111101001001101000 => [2,1,1,2,4,1,1,2,1,2,2,1,1,3]
111010011101001101000010 => [3,1,1,2,3,1,1,2,2,1,1,4,1,1]
110100111101001101000100 => [2,1,1,2,4,1,1,2,2,1,1,3,1,2]
110100111010011101001000 => [2,1,1,2,3,1,1,2,3,1,1,2,1,3]
110100111010011011010000 => [2,1,1,2,3,1,1,2,2,1,2,1,1,4]
111101001101101000010010 => [4,1,1,2,2,1,2,1,1,4,1,2,1,1]
111010011011010000110100 => [3,1,1,2,2,1,2,1,1,4,2,1,1,2]
111010011101101000100010 => [3,1,1,2,3,1,2,1,1,3,1,3,1,1]
110100111101101000100100 => [2,1,1,2,4,1,2,1,1,3,1,2,1,2]
110100111011010001101000 => [2,1,1,2,3,1,2,1,1,3,2,1,1,3]
111010011011101001000010 => [3,1,1,2,2,1,3,1,1,2,1,4,1,1]
110100111011101001000100 => [2,1,1,2,3,1,3,1,1,2,1,3,1,2]
110100110111101001001000 => [2,1,1,2,2,1,4,1,1,2,1,2,1,3]
110100110111010011010000 => [2,1,1,2,2,1,3,1,1,2,2,1,1,4]
111010011011011010000010 => [3,1,1,2,2,1,2,1,2,1,1,5,1,1]
110100111011011010000100 => [2,1,1,2,3,1,2,1,2,1,1,4,1,2]
110100110111011010001000 => [2,1,1,2,2,1,3,1,2,1,1,3,1,3]
110100110110111010010000 => [2,1,1,2,2,1,2,1,3,1,1,2,1,4]
110100110110110110100000 => [2,1,1,2,2,1,2,1,2,1,2,1,1,5]
111110110100010010010010 => [5,1,2,1,1,3,1,2,1,2,1,2,1,1]
111101101000100100110100 => [4,1,2,1,1,3,1,2,1,2,2,1,1,2]
111101101000100110100010 => [4,1,2,1,1,3,1,2,2,1,1,3,1,1]
111011010001001110100100 => [3,1,2,1,1,3,1,2,3,1,1,2,1,2]
111011010001001101101000 => [3,1,2,1,1,3,1,2,2,1,2,1,1,3]
111101101000110100010010 => [4,1,2,1,1,3,2,1,1,3,1,2,1,1]
111011010001101000110100 => [3,1,2,1,1,3,2,1,1,3,2,1,1,2]
111011010001110100100010 => [3,1,2,1,1,3,3,1,1,2,1,3,1,1]
110110100011110100100100 => [2,1,2,1,1,3,4,1,1,2,1,2,1,2]
110110100011101001101000 => [2,1,2,1,1,3,3,1,1,2,2,1,1,3]
111011010001101101000010 => [3,1,2,1,1,3,2,1,2,1,1,4,1,1]
110110100011101101000100 => [2,1,2,1,1,3,3,1,2,1,1,3,1,2]
110110100011011101001000 => [2,1,2,1,1,3,2,1,3,1,1,2,1,3]
110110100011011011010000 => [2,1,2,1,1,3,2,1,2,1,2,1,1,4]
111101110100100010010010 => [4,1,3,1,1,2,1,3,1,2,1,2,1,1]
111011101001000100110100 => [3,1,3,1,1,2,1,3,1,2,2,1,1,2]
111011101001000110100010 => [3,1,3,1,1,2,1,3,2,1,1,3,1,1]
110111010010001110100100 => [2,1,3,1,1,2,1,3,3,1,1,2,1,2]
110111010010001101101000 => [2,1,3,1,1,2,1,3,2,1,2,1,1,3]
111011110100100100010010 => [3,1,4,1,1,2,1,2,1,3,1,2,1,1]
110111101001001000110100 => [2,1,4,1,1,2,1,2,1,3,2,1,1,2]
110111110100100100100010 => [2,1,5,1,1,2,1,2,1,2,1,3,1,1]
101111110100100100100100 => [1,1,6,1,1,2,1,2,1,2,1,2,1,2]
101111101001001001101000 => [1,1,5,1,1,2,1,2,1,2,2,1,1,3]
110111101001001101000010 => [2,1,4,1,1,2,1,2,2,1,1,4,1,1]
101111101001001101000100 => [1,1,5,1,1,2,1,2,2,1,1,3,1,2]
101111010010011101001000 => [1,1,4,1,1,2,1,2,3,1,1,2,1,3]
101111010010011011010000 => [1,1,4,1,1,2,1,2,2,1,2,1,1,4]
111011101001101000010010 => [3,1,3,1,1,2,2,1,1,4,1,2,1,1]
110111010011010000110100 => [2,1,3,1,1,2,2,1,1,4,2,1,1,2]
110111101001101000100010 => [2,1,4,1,1,2,2,1,1,3,1,3,1,1]
101111101001101000100100 => [1,1,5,1,1,2,2,1,1,3,1,2,1,2]
101111010011010001101000 => [1,1,4,1,1,2,2,1,1,3,2,1,1,3]
110111010011101001000010 => [2,1,3,1,1,2,3,1,1,2,1,4,1,1]
101111010011101001000100 => [1,1,4,1,1,2,3,1,1,2,1,3,1,2]
101110100111101001001000 => [1,1,3,1,1,2,4,1,1,2,1,2,1,3]
101110100111010011010000 => [1,1,3,1,1,2,3,1,1,2,2,1,1,4]
110111010011011010000010 => [2,1,3,1,1,2,2,1,2,1,1,5,1,1]
101111010011011010000100 => [1,1,4,1,1,2,2,1,2,1,1,4,1,2]
101110100111011010001000 => [1,1,3,1,1,2,3,1,2,1,1,3,1,3]
101110100110111010010000 => [1,1,3,1,1,2,2,1,3,1,1,2,1,4]
101110100110110110100000 => [1,1,3,1,1,2,2,1,2,1,2,1,1,5]
111101101101000010010010 => [4,1,2,1,2,1,1,4,1,2,1,2,1,1]
111011011010000100110100 => [3,1,2,1,2,1,1,4,1,2,2,1,1,2]
111011011010000110100010 => [3,1,2,1,2,1,1,4,2,1,1,3,1,1]
110110110100001110100100 => [2,1,2,1,2,1,1,4,3,1,1,2,1,2]
110110110100001101101000 => [2,1,2,1,2,1,1,4,2,1,2,1,1,3]
111011101101000100010010 => [3,1,3,1,2,1,1,3,1,3,1,2,1,1]
110111011010001000110100 => [2,1,3,1,2,1,1,3,1,3,2,1,1,2]
110111101101000100100010 => [2,1,4,1,2,1,1,3,1,2,1,3,1,1]
101111101101000100100100 => [1,1,5,1,2,1,1,3,1,2,1,2,1,2]
101111011010001001101000 => [1,1,4,1,2,1,1,3,1,2,2,1,1,3]
110111011010001101000010 => [2,1,3,1,2,1,1,3,2,1,1,4,1,1]
101111011010001101000100 => [1,1,4,1,2,1,1,3,2,1,1,3,1,2]
101110110100011101001000 => [1,1,3,1,2,1,1,3,3,1,1,2,1,3]
101110110100011011010000 => [1,1,3,1,2,1,1,3,2,1,2,1,1,4]
111011011101001000010010 => [3,1,2,1,3,1,1,2,1,4,1,2,1,1]
110110111010010000110100 => [2,1,2,1,3,1,1,2,1,4,2,1,1,2]
110111011101001000100010 => [2,1,3,1,3,1,1,2,1,3,1,3,1,1]
101111011101001000100100 => [1,1,4,1,3,1,1,2,1,3,1,2,1,2]
101110111010010001101000 => [1,1,3,1,3,1,1,2,1,3,2,1,1,3]
110110111101001001000010 => [2,1,2,1,4,1,1,2,1,2,1,4,1,1]
101110111101001001000100 => [1,1,3,1,4,1,1,2,1,2,1,3,1,2]
101101111101001001001000 => [1,1,2,1,5,1,1,2,1,2,1,2,1,3]
101101111010010011010000 => [1,1,2,1,4,1,1,2,1,2,2,1,1,4]
110110111010011010000010 => [2,1,2,1,3,1,1,2,2,1,1,5,1,1]
101110111010011010000100 => [1,1,3,1,3,1,1,2,2,1,1,4,1,2]
101101111010011010001000 => [1,1,2,1,4,1,1,2,2,1,1,3,1,3]
101101110100111010010000 => [1,1,2,1,3,1,1,2,3,1,1,2,1,4]
101101110100110110100000 => [1,1,2,1,3,1,1,2,2,1,2,1,1,5]
111011011011010000010010 => [3,1,2,1,2,1,2,1,1,5,1,2,1,1]
110110110110100000110100 => [2,1,2,1,2,1,2,1,1,5,2,1,1,2]
110111011011010000100010 => [2,1,3,1,2,1,2,1,1,4,1,3,1,1]
101111011011010000100100 => [1,1,4,1,2,1,2,1,1,4,1,2,1,2]
101110110110100001101000 => [1,1,3,1,2,1,2,1,1,4,2,1,1,3]
110110111011010001000010 => [2,1,2,1,3,1,2,1,1,3,1,4,1,1]
101110111011010001000100 => [1,1,3,1,3,1,2,1,1,3,1,3,1,2]
101101111011010001001000 => [1,1,2,1,4,1,2,1,1,3,1,2,1,3]
101101110110100011010000 => [1,1,2,1,3,1,2,1,1,3,2,1,1,4]
110110110111010010000010 => [2,1,2,1,2,1,3,1,1,2,1,5,1,1]
101110110111010010000100 => [1,1,3,1,2,1,3,1,1,2,1,4,1,2]
101101110111010010001000 => [1,1,2,1,3,1,3,1,1,2,1,3,1,3]
101101101111010010010000 => [1,1,2,1,2,1,4,1,1,2,1,2,1,4]
101101101110100110100000 => [1,1,2,1,2,1,3,1,1,2,2,1,1,5]
110110110110110100000010 => [2,1,2,1,2,1,2,1,2,1,1,6,1,1]
101110110110110100000100 => [1,1,3,1,2,1,2,1,2,1,1,5,1,2]
101101110110110100001000 => [1,1,2,1,3,1,2,1,2,1,1,4,1,3]
101101101110110100010000 => [1,1,2,1,2,1,3,1,2,1,1,3,1,4]
101101101101110100100000 => [1,1,2,1,2,1,2,1,3,1,1,2,1,5]
101101101101101101000000 => [1,1,2,1,2,1,2,1,2,1,2,1,1,6]
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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
surjective, graded
Sage code
def mapping(w):
    return Composition(w.delta())

Created
Jan 29, 2020 at 13:26 by FindStatCrew
Updated
Jan 29, 2020 at 13:26 by Martin Rubey