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Matching statistic: St000753
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Mapping
St000753: 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 => 1
10 => 1
11 => 2
000 => 0
001 => 1
010 => 1
011 => 2
100 => 1
101 => 0
110 => 2
111 => 3
0000 => 0
0001 => 1
0010 => 1
0011 => 2
0100 => 1
0101 => 0
0110 => 2
0111 => 3
1000 => 1
1001 => 0
1010 => 0
1011 => 3
1100 => 2
1101 => 3
1110 => 3
1111 => 1
00000 => 0
00001 => 1
00010 => 1
00011 => 2
00100 => 1
00101 => 0
00110 => 2
00111 => 3
01000 => 1
01001 => 0
01010 => 0
01011 => 3
01100 => 2
01101 => 3
01110 => 3
01111 => 1
10000 => 1
10001 => 0
10010 => 0
10011 => 3
Description
The Grundy value for the game of Kayles on a binary word. Two players alternately may remove either a single 1 or two adjacent 1's. The player facing the word which has only 0's looses.