Problems > How Often Each Prefix Appears

How Often Each Prefix Appears

Difficulty: 1700 6000 ms 128 MB

strings kmp

For each prefix length k (1..|S|), print how many times that prefix occurs as a substring of S.

Input: one line with the string S.

Output: |S| integers: the occurrence count of each prefix.

Constraints:

  • 1 ≤ |S| ≤ 105
  • lowercase letters

Sample Tests

Input 1
aba
Output 1
2 1 1
Input 2
aaaa
Output 2
4 3 2 1

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