#2484

Count Palindromic Subsequences

master · 1675 · lc hard +32 · verified · 41% accepted · 609 likes · top 21%

Description

Given a digit string s, count the number of distinct palindromic subsequences of length exactly 5 and return the result modulo 109 + 7.

A string is palindromic if it reads the same forwards and backwards. A subsequence is formed by deleting zero or more characters from s without changing the order of the remaining characters.

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".

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