1216. Valid Palindrome III

2019/10/23 Leetcode

1216. Valid Palindrome III

Tags: ‘String’, ‘Dynamic Programming’

Given a string s and an integer k, find out if the given string is a K-Palindrome or not.

A string is K-Palindrome if it can be transformed into a palindrome by removing at most k characters from it.

 

Example 1:

Input: s = "abcdeca", k = 2
Output: true
Explanation: Remove 'b' and 'e' characters.

 

Constraints:

  • 1 <= s.length <= 1000
  • s has only lowercase English letters.
  • 1 <= k <= s.length

Solution

Refer to 516. Longest Palindromic Subsequence

if k >= s.length() - lps then true

public boolean isValidPalindrome(String s, int k) {
    int lps = longestPalindromeSubseq(s);
    if (k >= s.length() - lps) return true;
    else return false;
}

private int longestPalindromeSubseq(String s) {
    int[][] dp = new int[s.length()][s.length()];

    for (int i = s.length() - 1; i >= 0; i--) {
        dp[i][i] = 1;
        for (int j = i + 1; j < s.length(); j++) {
            if (s.charAt(i) == s.charAt(j)) {
                dp[i][j] = dp[i+1][j-1] + 2;
            } else {
                dp[i][j] = Math.max(dp[i+1][j], dp[i][j-1]);
            }
        }
    }
    return dp[0][s.length() - 1];
}

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