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Longest Palindromic Substring #1489

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42 changes: 42 additions & 0 deletions Dynamic-Programming/LongestPalindromicSubstring.js
View file Open in desktop
Original file line number Diff line number Diff line change
@@ -0,0 +1,42 @@
/*
LeetCode -> https://leetcode.com/problems/longest-palindromic-substring

Given a string s, find the longest palindromic substring in s.
You may assume that the maximum length of s is 1000.

*/
function longestPalindrome(s) {
const n = s.length;
const dp = new Array(n + 1).fill(0).map(() => new Array(n + 1).fill(0));
const len = new Array(n + 1).fill(0).map(() => new Array(n + 1).fill(0));
let str = "";
let mx = 0;
//fill for single character
for (let i = 0; i < n; i++) {
dp[i][i] = 1;
len[i][i] = 1;
}

for (let i = n - 2; i >= 0; i--) {
for (let j = i + 1; j < n; j++) {
if (s[i] === s[j] && j - i === 1) {
len[i][j] = 2;
dp[i][j] = 1;
} else if (s[i] === s[j] && dp[i + 1][j - 1]) {
dp[i][j] = 1;
len[i][j] = j - i + 1;
}
}
}

for (let i = 0; i < n; i++) {
for (let j = 0; j < n; j++) {
if (len[i][j] > mx && dp[i][j]) {
mx = len[i][j];
str = s.substring(i, j + 1);
}
}
}

return str;
}

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