Problems > Distinct Palindromic Subsequences

Distinct Palindromic Subsequences

Difficulty: 2200 6000 ms 128 MB

strings dp

Count the DISTINCT non-empty palindromic subsequences of S, modulo 109+7.

Input: one line with the string S.

Output: the number of distinct palindromic subsequences mod 109+7.

Constraints:

  • 1 ≤ |S| ≤ 2000
  • lowercase letters

Sample Tests

Input 1
aba
Output 1
4
Input 2
abc
Output 2
3

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