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Matching statistic: St000792
Mapping
St000792: Binary words ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
0 => 0
1 => 1
00 => 0
01 => 2
10 => 1
11 => 3
000 => 0
001 => 1
010 => 2
011 => 3
100 => 1
101 => 0
110 => 3
111 => 2
0000 => 0
0001 => 4
0010 => 1
0011 => 5
0100 => 2
0101 => 6
0110 => 3
0111 => 7
1000 => 1
1001 => 5
1010 => 0
1011 => 4
1100 => 3
1101 => 7
1110 => 2
1111 => 6
00000 => 0
00001 => 1
00010 => 4
00011 => 5
00100 => 1
00101 => 0
00110 => 5
00111 => 4
01000 => 2
01001 => 3
01010 => 6
01011 => 7
01100 => 3
01101 => 2
01110 => 7
01111 => 6
10000 => 1
10001 => 0
10010 => 5
10011 => 4
Description
The Grundy value for the game of ruler on a binary word. Two players alternately may switch any consecutive sequence of numbers that ends with a 1. The player facing the word which has only 0's looses.