Wednesday, October 28, 2020

LeetCode [647] Palindromic Substrings

 647. Palindromic Substrings

Medium

Given a string, your task is to count how many palindromic substrings in this string.

The substrings with different start indexes or end indexes are counted as different substrings even they consist of same characters.

Example 1:

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

 

Example 2:

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

 

Note:

  1. The input string length won't exceed 1000.
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class Solution {
    public int countSubstrings(String s) {
        int n = s.length();
        int[][] dp = new int[n][n];
        for(int i=0; i<n; ++i) dp[i][i] = 1;
        int cnt = n;

        for(int i=n-1; i>=0; --i){
            for(int j=i+1; j<n; ++j){
                if(j==i+1 && s.charAt(i)==s.charAt(j)){
                    dp[i][j] = 1;
                }
                if(j>i+1 && dp[i+1][j-1]==1 && s.charAt(i)==s.charAt(j)){
                    dp[i][j] = 1;
                }
                cnt += dp[i][j];
            }
        }

        return cnt;
    }
}

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