Palindromic Substrings

Medium
StringDynamic Programming

Palindromic Substrings

Given a string s, return the number of palindromic substrings in it.

A string is a palindrome when it reads the same backward as forward. A substring is a contiguous sequence of characters within the string.

Example 1:

Input: s = "abc"
Output: 3
Explanation: Three palindromic strings: "a", "b", "c".

Example 2:

Input: s = "aaa"
Output: 6
Explanation: Six palindromic strings: "a", "a", "a", "aa", "aa", "aaa".

Examples

Input: s = "abc"
Output: 3
Input: s = "aaa"
Output: 6
Input: s = "a"
Output: 1

Constraints

  • 1 <= s.length <= 1000
  • s consists of lowercase English letters.