Given a length $N$ string $S$. Calculate array $a_ 0, a_ 1, ..., a_ {N - 1}$ as follows:
$S$
$a_ 0$ $a_ 1$ $a_ 2$ ... $a_ {N-1}$
abcbcba
7 0 0 0 0 0 1
mississippi
11 0 0 0 0 0 0 0 0 0 0
ababacaca
9 0 3 0 1 0 1 0 1
aaaaa
5 4 3 2 1
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