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Matching statistic: St000878
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Mapping
St000878: Binary words ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
0 => -1
1 => 1
00 => -2
01 => 0
10 => 0
11 => 2
000 => -3
001 => -1
010 => -1
011 => 1
100 => -1
101 => 1
110 => 1
111 => 3
0000 => -4
0001 => -2
0010 => -2
0011 => 0
0100 => -2
0101 => 0
0110 => 0
0111 => 2
1000 => -2
1001 => 0
1010 => 0
1011 => 2
1100 => 0
1101 => 2
1110 => 2
1111 => 4
00000 => -5
00001 => -3
00010 => -3
00011 => -1
00100 => -3
00101 => -1
00110 => -1
00111 => 1
01000 => -3
01001 => -1
01010 => -1
01011 => 1
01100 => -1
01101 => 1
01110 => 1
01111 => 3
10000 => -3
10001 => -1
10010 => -1
10011 => 1
Description
The number of ones minus the number of zeros of a binary word.