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Add Palindrome Partitioning algorithm #1859

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38 changes: 38 additions & 0 deletions Backtracking/PalindromePartitioning.js
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Original file line number Diff line number Diff line change
@@ -0,0 +1,38 @@
/**
* Palindrome Partitioning Algorithm
* Given a string, find all possible ways to partition it into palindromic substrings
*/

function isPalindrome(s, left, right) {
while (left < right) {
if (s[left] !== s[right]) return false;
left++;
right--;
}
return true;
}

function partition(s) {
const result = [];
const current = [];

function backtrack(start) {
if (start === s.length) {
result.push([...current]);
return;
}

for (let end = start; end < s.length; end++) {
if (isPalindrome(s, start, end)) {
current.push(s.substring(start, end + 1));
backtrack(end + 1);
current.pop();
}
}
}

backtrack(0);
return result;
}

export { partition };
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