***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * This information is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St001984 ----------------------------------------------------------------------------- Collection: Binary words ----------------------------------------------------------------------------- Description: A recursive count of subwords of the form 01, 10 and 11. We iteratively remove the last two bits, and tally the number of times we see 01, 10 or 11. However, if the last two bits are 00, we drop the last 0 and continue. The statistic is 1 for the word ''1''. We can recursively define the statistic as $$ stat(w_1,\dotsc,w_n) = \begin{cases} 0 & \text{if } w \text{ is the empty word}\\ 0 & \text{if } w = (0)\\ 1 & \text{if } w=(1)\\ stat(w_1,\dotsc,w_{n-1}) & \text{if } w_n=w_{n-1}=0\\ 1+stat(w_1,\dotsc,w_{n-2}) & \text{otherwise.} \end{cases} $$ This statistic is Example 4.1 in [1]. ----------------------------------------------------------------------------- References: [1] Shapiro, B., Smirnov, I., Vaintrob, A. Deformed graphical zonotopal algebras [[arXiv:2204.11331]] ----------------------------------------------------------------------------- Code: def statistic(t): n = len(t) if n == 0: return 0 if n <= 2: return max(t) if t[-2] == 0 and t[-1] == 0: return statistic(t[:-1]) return 1 + statistic(t[:-2]) ----------------------------------------------------------------------------- Statistic values: 0 => 0 1 => 1 00 => 0 01 => 1 10 => 1 11 => 1 000 => 0 001 => 1 010 => 1 011 => 1 100 => 1 101 => 2 110 => 2 111 => 2 0000 => 0 0001 => 1 0010 => 1 0011 => 1 0100 => 1 0101 => 2 0110 => 2 0111 => 2 1000 => 1 1001 => 2 1010 => 2 1011 => 2 1100 => 2 1101 => 2 1110 => 2 1111 => 2 00000 => 0 00001 => 1 00010 => 1 00011 => 1 00100 => 1 00101 => 2 00110 => 2 00111 => 2 01000 => 1 01001 => 2 01010 => 2 01011 => 2 01100 => 2 01101 => 2 01110 => 2 01111 => 2 10000 => 1 10001 => 2 10010 => 2 10011 => 2 10100 => 2 10101 => 3 10110 => 3 10111 => 3 11000 => 2 11001 => 3 11010 => 3 11011 => 3 11100 => 2 11101 => 3 11110 => 3 11111 => 3 000000 => 0 000001 => 1 000010 => 1 000011 => 1 000100 => 1 000101 => 2 000110 => 2 000111 => 2 001000 => 1 001001 => 2 001010 => 2 001011 => 2 001100 => 2 001101 => 2 001110 => 2 001111 => 2 010000 => 1 010001 => 2 010010 => 2 010011 => 2 010100 => 2 010101 => 3 010110 => 3 010111 => 3 011000 => 2 011001 => 3 011010 => 3 011011 => 3 011100 => 2 011101 => 3 011110 => 3 011111 => 3 100000 => 1 100001 => 2 100010 => 2 100011 => 2 100100 => 2 100101 => 3 100110 => 3 100111 => 3 101000 => 2 101001 => 3 101010 => 3 101011 => 3 101100 => 3 101101 => 3 101110 => 3 101111 => 3 110000 => 2 110001 => 3 110010 => 3 110011 => 3 110100 => 3 110101 => 3 110110 => 3 110111 => 3 111000 => 2 111001 => 3 111010 => 3 111011 => 3 111100 => 3 111101 => 3 111110 => 3 111111 => 3 0000000 => 0 0000001 => 1 0000010 => 1 0000011 => 1 0000100 => 1 0000101 => 2 0000110 => 2 0000111 => 2 0001000 => 1 0001001 => 2 0001010 => 2 0001011 => 2 0001100 => 2 0001101 => 2 0001110 => 2 0001111 => 2 0010000 => 1 0010001 => 2 0010010 => 2 0010011 => 2 0010100 => 2 0010101 => 3 0010110 => 3 0010111 => 3 0011000 => 2 0011001 => 3 0011010 => 3 0011011 => 3 0011100 => 2 0011101 => 3 0011110 => 3 0011111 => 3 0100000 => 1 0100001 => 2 0100010 => 2 0100011 => 2 0100100 => 2 0100101 => 3 0100110 => 3 0100111 => 3 0101000 => 2 0101001 => 3 0101010 => 3 0101011 => 3 0101100 => 3 0101101 => 3 0101110 => 3 0101111 => 3 0110000 => 2 0110001 => 3 0110010 => 3 0110011 => 3 0110100 => 3 0110101 => 3 0110110 => 3 0110111 => 3 0111000 => 2 0111001 => 3 0111010 => 3 0111011 => 3 0111100 => 3 0111101 => 3 0111110 => 3 0111111 => 3 1000000 => 1 1000001 => 2 1000010 => 2 1000011 => 2 1000100 => 2 1000101 => 3 1000110 => 3 1000111 => 3 1001000 => 2 1001001 => 3 1001010 => 3 1001011 => 3 1001100 => 3 1001101 => 3 1001110 => 3 1001111 => 3 1010000 => 2 1010001 => 3 1010010 => 3 1010011 => 3 1010100 => 3 1010101 => 4 1010110 => 4 1010111 => 4 1011000 => 3 1011001 => 4 1011010 => 4 1011011 => 4 1011100 => 3 1011101 => 4 1011110 => 4 1011111 => 4 1100000 => 2 1100001 => 3 1100010 => 3 1100011 => 3 1100100 => 3 1100101 => 4 1100110 => 4 1100111 => 4 1101000 => 3 1101001 => 4 1101010 => 4 1101011 => 4 1101100 => 3 1101101 => 4 1101110 => 4 1101111 => 4 1110000 => 2 1110001 => 3 1110010 => 3 1110011 => 3 1110100 => 3 1110101 => 4 1110110 => 4 1110111 => 4 1111000 => 3 1111001 => 4 1111010 => 4 1111011 => 4 1111100 => 3 1111101 => 4 1111110 => 4 1111111 => 4 00000000 => 0 00000001 => 1 00000010 => 1 00000011 => 1 00000100 => 1 00000101 => 2 00000110 => 2 00000111 => 2 00001000 => 1 00001001 => 2 00001010 => 2 00001011 => 2 00001100 => 2 00001101 => 2 00001110 => 2 00001111 => 2 00010000 => 1 00010001 => 2 00010010 => 2 00010011 => 2 00010100 => 2 00010101 => 3 00010110 => 3 00010111 => 3 00011000 => 2 00011001 => 3 00011010 => 3 00011011 => 3 00011100 => 2 00011101 => 3 00011110 => 3 00011111 => 3 00100000 => 1 00100001 => 2 00100010 => 2 00100011 => 2 00100100 => 2 00100101 => 3 00100110 => 3 00100111 => 3 00101000 => 2 00101001 => 3 00101010 => 3 00101011 => 3 00101100 => 3 00101101 => 3 00101110 => 3 00101111 => 3 00110000 => 2 00110001 => 3 00110010 => 3 00110011 => 3 00110100 => 3 00110101 => 3 00110110 => 3 00110111 => 3 00111000 => 2 00111001 => 3 00111010 => 3 00111011 => 3 00111100 => 3 00111101 => 3 00111110 => 3 00111111 => 3 01000000 => 1 01000001 => 2 01000010 => 2 01000011 => 2 01000100 => 2 01000101 => 3 01000110 => 3 01000111 => 3 01001000 => 2 01001001 => 3 01001010 => 3 01001011 => 3 01001100 => 3 01001101 => 3 01001110 => 3 01001111 => 3 01010000 => 2 01010001 => 3 01010010 => 3 01010011 => 3 01010100 => 3 01010101 => 4 01010110 => 4 01010111 => 4 01011000 => 3 01011001 => 4 01011010 => 4 01011011 => 4 01011100 => 3 01011101 => 4 01011110 => 4 01011111 => 4 01100000 => 2 01100001 => 3 01100010 => 3 01100011 => 3 01100100 => 3 01100101 => 4 01100110 => 4 01100111 => 4 01101000 => 3 01101001 => 4 01101010 => 4 01101011 => 4 01101100 => 3 01101101 => 4 01101110 => 4 01101111 => 4 01110000 => 2 01110001 => 3 01110010 => 3 01110011 => 3 01110100 => 3 01110101 => 4 01110110 => 4 01110111 => 4 01111000 => 3 01111001 => 4 01111010 => 4 01111011 => 4 01111100 => 3 01111101 => 4 01111110 => 4 01111111 => 4 10000000 => 1 10000001 => 2 10000010 => 2 10000011 => 2 10000100 => 2 10000101 => 3 10000110 => 3 10000111 => 3 10001000 => 2 10001001 => 3 10001010 => 3 10001011 => 3 10001100 => 3 10001101 => 3 10001110 => 3 10001111 => 3 10010000 => 2 10010001 => 3 10010010 => 3 10010011 => 3 10010100 => 3 10010101 => 4 10010110 => 4 10010111 => 4 10011000 => 3 10011001 => 4 10011010 => 4 10011011 => 4 10011100 => 3 10011101 => 4 10011110 => 4 10011111 => 4 10100000 => 2 10100001 => 3 10100010 => 3 10100011 => 3 10100100 => 3 10100101 => 4 10100110 => 4 10100111 => 4 10101000 => 3 10101001 => 4 10101010 => 4 10101011 => 4 10101100 => 4 10101101 => 4 10101110 => 4 10101111 => 4 10110000 => 3 10110001 => 4 10110010 => 4 10110011 => 4 10110100 => 4 10110101 => 4 10110110 => 4 10110111 => 4 10111000 => 3 10111001 => 4 10111010 => 4 10111011 => 4 10111100 => 4 10111101 => 4 10111110 => 4 10111111 => 4 11000000 => 2 11000001 => 3 11000010 => 3 11000011 => 3 11000100 => 3 11000101 => 4 11000110 => 4 11000111 => 4 11001000 => 3 11001001 => 4 11001010 => 4 11001011 => 4 11001100 => 4 11001101 => 4 11001110 => 4 11001111 => 4 11010000 => 3 11010001 => 4 11010010 => 4 11010011 => 4 11010100 => 4 11010101 => 4 11010110 => 4 11010111 => 4 11011000 => 3 11011001 => 4 11011010 => 4 11011011 => 4 11011100 => 4 11011101 => 4 11011110 => 4 11011111 => 4 11100000 => 2 11100001 => 3 11100010 => 3 11100011 => 3 11100100 => 3 11100101 => 4 11100110 => 4 11100111 => 4 11101000 => 3 11101001 => 4 11101010 => 4 11101011 => 4 11101100 => 4 11101101 => 4 11101110 => 4 11101111 => 4 11110000 => 3 11110001 => 4 11110010 => 4 11110011 => 4 11110100 => 4 11110101 => 4 11110110 => 4 11110111 => 4 11111000 => 3 11111001 => 4 11111010 => 4 11111011 => 4 11111100 => 4 11111101 => 4 11111110 => 4 11111111 => 4 000000000 => 0 000000001 => 1 000000010 => 1 000000011 => 1 000000100 => 1 000000101 => 2 000000110 => 2 000000111 => 2 000001000 => 1 000001001 => 2 000001010 => 2 000001011 => 2 000001100 => 2 000001101 => 2 000001110 => 2 000001111 => 2 000010000 => 1 000010001 => 2 000010010 => 2 000010011 => 2 000010100 => 2 000010101 => 3 000010110 => 3 000010111 => 3 000011000 => 2 000011001 => 3 000011010 => 3 000011011 => 3 000011100 => 2 000011101 => 3 000011110 => 3 000011111 => 3 000100000 => 1 000100001 => 2 000100010 => 2 000100011 => 2 000100100 => 2 000100101 => 3 000100110 => 3 000100111 => 3 000101000 => 2 000101001 => 3 000101010 => 3 000101011 => 3 000101100 => 3 000101101 => 3 000101110 => 3 000101111 => 3 000110000 => 2 000110001 => 3 000110010 => 3 000110011 => 3 000110100 => 3 000110101 => 3 000110110 => 3 000110111 => 3 000111000 => 2 000111001 => 3 000111010 => 3 000111011 => 3 000111100 => 3 000111101 => 3 000111110 => 3 000111111 => 3 001000000 => 1 001000001 => 2 001000010 => 2 001000011 => 2 001000100 => 2 001000101 => 3 001000110 => 3 001000111 => 3 001001000 => 2 001001001 => 3 001001010 => 3 001001011 => 3 001001100 => 3 001001101 => 3 001001110 => 3 001001111 => 3 001010000 => 2 001010001 => 3 001010010 => 3 001010011 => 3 001010100 => 3 001010101 => 4 001010110 => 4 001010111 => 4 001011000 => 3 001011001 => 4 001011010 => 4 001011011 => 4 001011100 => 3 001011101 => 4 001011110 => 4 001011111 => 4 001100000 => 2 001100001 => 3 001100010 => 3 001100011 => 3 001100100 => 3 001100101 => 4 001100110 => 4 001100111 => 4 001101000 => 3 001101001 => 4 001101010 => 4 001101011 => 4 001101100 => 3 001101101 => 4 001101110 => 4 001101111 => 4 001110000 => 2 001110001 => 3 001110010 => 3 001110011 => 3 001110100 => 3 001110101 => 4 001110110 => 4 001110111 => 4 001111000 => 3 001111001 => 4 001111010 => 4 001111011 => 4 001111100 => 3 001111101 => 4 001111110 => 4 001111111 => 4 010000000 => 1 010000001 => 2 010000010 => 2 010000011 => 2 010000100 => 2 010000101 => 3 010000110 => 3 010000111 => 3 010001000 => 2 010001001 => 3 010001010 => 3 010001011 => 3 010001100 => 3 010001101 => 3 010001110 => 3 010001111 => 3 010010000 => 2 010010001 => 3 010010010 => 3 010010011 => 3 010010100 => 3 010010101 => 4 010010110 => 4 010010111 => 4 010011000 => 3 010011001 => 4 010011010 => 4 010011011 => 4 010011100 => 3 010011101 => 4 010011110 => 4 010011111 => 4 010100000 => 2 010100001 => 3 010100010 => 3 010100011 => 3 010100100 => 3 010100101 => 4 010100110 => 4 010100111 => 4 010101000 => 3 010101001 => 4 010101010 => 4 010101011 => 4 010101100 => 4 010101101 => 4 010101110 => 4 010101111 => 4 010110000 => 3 010110001 => 4 010110010 => 4 010110011 => 4 010110100 => 4 010110101 => 4 010110110 => 4 010110111 => 4 010111000 => 3 010111001 => 4 010111010 => 4 010111011 => 4 010111100 => 4 010111101 => 4 010111110 => 4 010111111 => 4 011000000 => 2 011000001 => 3 011000010 => 3 011000011 => 3 011000100 => 3 011000101 => 4 011000110 => 4 011000111 => 4 011001000 => 3 011001001 => 4 011001010 => 4 011001011 => 4 011001100 => 4 011001101 => 4 011001110 => 4 011001111 => 4 011010000 => 3 011010001 => 4 011010010 => 4 011010011 => 4 011010100 => 4 011010101 => 4 011010110 => 4 011010111 => 4 011011000 => 3 011011001 => 4 011011010 => 4 011011011 => 4 011011100 => 4 011011101 => 4 011011110 => 4 011011111 => 4 011100000 => 2 011100001 => 3 011100010 => 3 011100011 => 3 011100100 => 3 011100101 => 4 011100110 => 4 011100111 => 4 011101000 => 3 011101001 => 4 011101010 => 4 011101011 => 4 011101100 => 4 011101101 => 4 011101110 => 4 011101111 => 4 011110000 => 3 011110001 => 4 011110010 => 4 011110011 => 4 011110100 => 4 011110101 => 4 011110110 => 4 011110111 => 4 011111000 => 3 011111001 => 4 011111010 => 4 011111011 => 4 011111100 => 4 011111101 => 4 011111110 => 4 011111111 => 4 100000000 => 1 100000001 => 2 100000010 => 2 100000011 => 2 100000100 => 2 100000101 => 3 100000110 => 3 100000111 => 3 100001000 => 2 100001001 => 3 100001010 => 3 100001011 => 3 100001100 => 3 100001101 => 3 100001110 => 3 100001111 => 3 100010000 => 2 100010001 => 3 100010010 => 3 100010011 => 3 100010100 => 3 100010101 => 4 100010110 => 4 100010111 => 4 100011000 => 3 100011001 => 4 100011010 => 4 100011011 => 4 100011100 => 3 100011101 => 4 100011110 => 4 100011111 => 4 100100000 => 2 100100001 => 3 100100010 => 3 100100011 => 3 100100100 => 3 100100101 => 4 100100110 => 4 100100111 => 4 100101000 => 3 100101001 => 4 100101010 => 4 100101011 => 4 100101100 => 4 100101101 => 4 100101110 => 4 100101111 => 4 100110000 => 3 100110001 => 4 100110010 => 4 100110011 => 4 100110100 => 4 100110101 => 4 100110110 => 4 100110111 => 4 100111000 => 3 100111001 => 4 100111010 => 4 100111011 => 4 100111100 => 4 100111101 => 4 100111110 => 4 100111111 => 4 101000000 => 2 101000001 => 3 101000010 => 3 101000011 => 3 101000100 => 3 101000101 => 4 101000110 => 4 101000111 => 4 101001000 => 3 101001001 => 4 101001010 => 4 101001011 => 4 101001100 => 4 101001101 => 4 101001110 => 4 101001111 => 4 101010000 => 3 101010001 => 4 101010010 => 4 101010011 => 4 101010100 => 4 101010101 => 5 101010110 => 5 101010111 => 5 101011000 => 4 101011001 => 5 101011010 => 5 101011011 => 5 101011100 => 4 101011101 => 5 101011110 => 5 101011111 => 5 101100000 => 3 101100001 => 4 101100010 => 4 101100011 => 4 101100100 => 4 101100101 => 5 101100110 => 5 101100111 => 5 101101000 => 4 101101001 => 5 101101010 => 5 101101011 => 5 101101100 => 4 101101101 => 5 101101110 => 5 101101111 => 5 101110000 => 3 101110001 => 4 101110010 => 4 101110011 => 4 101110100 => 4 101110101 => 5 101110110 => 5 101110111 => 5 101111000 => 4 101111001 => 5 101111010 => 5 101111011 => 5 101111100 => 4 101111101 => 5 101111110 => 5 101111111 => 5 110000000 => 2 110000001 => 3 110000010 => 3 110000011 => 3 110000100 => 3 110000101 => 4 110000110 => 4 110000111 => 4 110001000 => 3 110001001 => 4 110001010 => 4 110001011 => 4 110001100 => 4 110001101 => 4 110001110 => 4 110001111 => 4 110010000 => 3 110010001 => 4 110010010 => 4 110010011 => 4 110010100 => 4 110010101 => 5 110010110 => 5 110010111 => 5 110011000 => 4 110011001 => 5 110011010 => 5 110011011 => 5 110011100 => 4 110011101 => 5 110011110 => 5 110011111 => 5 110100000 => 3 110100001 => 4 110100010 => 4 110100011 => 4 110100100 => 4 110100101 => 5 110100110 => 5 110100111 => 5 110101000 => 4 110101001 => 5 110101010 => 5 110101011 => 5 110101100 => 4 110101101 => 5 110101110 => 5 110101111 => 5 110110000 => 3 110110001 => 4 110110010 => 4 110110011 => 4 110110100 => 4 110110101 => 5 110110110 => 5 110110111 => 5 110111000 => 4 110111001 => 5 110111010 => 5 110111011 => 5 110111100 => 4 110111101 => 5 110111110 => 5 110111111 => 5 111000000 => 2 111000001 => 3 111000010 => 3 111000011 => 3 111000100 => 3 111000101 => 4 111000110 => 4 111000111 => 4 111001000 => 3 111001001 => 4 111001010 => 4 111001011 => 4 111001100 => 4 111001101 => 4 111001110 => 4 111001111 => 4 111010000 => 3 111010001 => 4 111010010 => 4 111010011 => 4 111010100 => 4 111010101 => 5 111010110 => 5 111010111 => 5 111011000 => 4 111011001 => 5 111011010 => 5 111011011 => 5 111011100 => 4 111011101 => 5 111011110 => 5 111011111 => 5 111100000 => 3 111100001 => 4 111100010 => 4 111100011 => 4 111100100 => 4 111100101 => 5 111100110 => 5 111100111 => 5 111101000 => 4 111101001 => 5 111101010 => 5 111101011 => 5 111101100 => 4 111101101 => 5 111101110 => 5 111101111 => 5 111110000 => 3 111110001 => 4 111110010 => 4 111110011 => 4 111110100 => 4 111110101 => 5 111110110 => 5 111110111 => 5 111111000 => 4 111111001 => 5 111111010 => 5 111111011 => 5 111111100 => 4 111111101 => 5 111111110 => 5 111111111 => 5 0000000001 => 1 0010000001 => 2 0010101101 => 4 0010101011 => 4 0010100111 => 4 0010011101 => 4 0010011011 => 4 0010010111 => 4 0010001111 => 3 0001110101 => 4 0001110011 => 3 0001101101 => 4 0001101011 => 4 0001100111 => 4 0001011101 => 4 0001011011 => 4 0001010111 => 4 0001001111 => 3 0000111101 => 3 0000111011 => 3 0000110111 => 3 0000101111 => 3 0000011111 => 3 0000000000 => 0 0000000110 => 2 0000011000 => 2 0000011110 => 3 0000010010 => 2 0001100000 => 2 0001100110 => 4 0001111000 => 3 0001111110 => 4 0001110010 => 3 0001001000 => 2 0001001110 => 3 0001000010 => 2 0001011010 => 4 0010101010 => 4 0010101000 => 3 0010101100 => 4 0010100100 => 3 0010010100 => 3 0001010100 => 3 0010101110 => 4 0010100000 => 2 0010000100 => 2 0000010100 => 2 0000000010 => 1 0000001110 => 2 0000111110 => 3 0000000100 => 1 0000001010 => 2 0000010110 => 3 0000101110 => 3 0001011110 => 4 0001101110 => 4 0001110110 => 4 0001111010 => 4 0001111100 => 3 0000000101 => 2 0000001101 => 2 0000011101 => 3 0001111101 => 4 0000001001 => 2 0000010101 => 3 0000101101 => 3 0010110001 => 4 0001100001 => 3 0001000001 => 2 0000111111 => 3 0001110100 => 3 0001101100 => 3 0010011100 => 3 0001011100 => 3 0000111100 => 3 0001101010 => 4 0010011010 => 4 0000111010 => 3 0010100110 => 4 0010010110 => 4 0001010110 => 4 0000110110 => 3 0010001110 => 3 0001101001 => 4 0000110001 => 3 0000010001 => 2 0000001100 => 2 0000011001 => 3 0000110011 => 3 0000110100 => 3 0000000011 => 1 0000011011 => 3 0001101111 => 4 0000110101 => 3 0010000010 => 2 0001000011 => 2 0010011110 => 4 0001010000 => 2 0001000100 => 2 0001010101 => 4 0001001011 => 3 0001100011 => 3 0001110111 => 4 0010000000 => 1 0000000111 => 2 0000001111 => 2 0001111111 => 4 0000001011 => 2 0000010111 => 3 0001011111 => 4 0001111001 => 4 0000011010 => 3 0000101010 => 3 0000100101 => 3 0010010001 => 3 0010000101 => 3 0010010101 => 4 0010010011 => 3 0000101011 => 3 0001000111 => 3 0000100111 => 3 0010010010 => 3 0001001010 => 3 0001001001 => 3 0001000101 => 3 0000100011 => 2 0000100100 => 2 0000100010 => 2 0010110000 => 3 0000011100 => 2 0000001000 => 1 0000101100 => 3 0010101111 => 4 0000101000 => 2 0010001000 => 2 0001001100 => 3 0001000110 => 3 0001100100 => 3 0001100010 => 3 0000100110 => 3 0000110010 => 3 0010010000 => 2 0001010010 => 3 0001000000 => 1 0001011001 => 4 0001100101 => 4 0001110001 => 3 0010011001 => 4 0010100101 => 4 0010101001 => 4 0010011111 => 4 0000111001 => 3 0010001101 => 3 0001001101 => 3 0001010001 => 3 0001010011 => 3 0001111011 => 4 0010011000 => 3 0001011000 => 3 0000100000 => 1 0010001011 => 3 0010000111 => 3 0000010011 => 2 0010001100 => 3 0010000110 => 3 0000110000 => 2 0000100001 => 2 0010100011 => 3 0010100001 => 3 0000111000 => 2 0001101000 => 3 0000010000 => 1 0000101001 => 3 0010100010 => 3 0010001001 => 3 0010000011 => 2 0010001010 => 3 0001110000 => 2 ----------------------------------------------------------------------------- Created: Oct 13, 2025 at 15:05 by Per Alexandersson ----------------------------------------------------------------------------- Last Updated: Oct 13, 2025 at 18:03 by Martin Rubey