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Count Palindromic Subsequences

Given a string of digits s, return the number of palindromic subsequences of s having length 5.

Given a string of digits s, return the number of palindromic subsequences of s having length 5. Since the answer may be very large, return it modulo 10^9 + 7.

Note:

Count Palindromic Subsequences diagram

Example 1

Input: s = "103301"

Output: 2

Explanation: There are 6 possible subsequences of length 5: "10330","10331","10301","10301","13301","03301". Two of them (both equal to "10301") are palindromic.

Example 2

Input: s = "0000000"

Output: 21

Explanation: All 21 subsequences are "00000", which is palindromic.

Example 3

Input: s = "9999900000"

Output: 2

Explanation: The only two palindromic subsequences are "99999" and "00000".

Constraints

  • 1 <= s.length <= 10^4
  • s consists of digits.

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