From 05c70e52ed9a0cdd8351d503636abc643f46d661 Mon Sep 17 00:00:00 2001
From: namanhere23 <namanhere23code@gmail.com>
Date: Thu, 30 Oct 2025 20:29:02 +0530
Subject: [PATCH] Add Palindrome Partitioning algorithm implementation

---
 Algorithms/Palindrome Partitioning.cpp | 45 ++++++++++++++++++++++++++
 1 file changed, 45 insertions(+)
 create mode 100644 Algorithms/Palindrome Partitioning.cpp

diff --git a/Algorithms/Palindrome Partitioning.cpp b/Algorithms/Palindrome Partitioning.cpp
new file mode 100644
index 0000000..0c1f77e
--- /dev/null
+++ b/Algorithms/Palindrome Partitioning.cpp	
@@ -0,0 +1,45 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+bool isPalindrome(string &s, int i, int j) {
+    while (i < j) {
+        if (s[i] != s[j])
+            return false;
+        i++;
+        j--;
+    }
+    return true;
+}
+
+int minCuts(string &s, int i, int j, vector<vector<int>> &dp) {
+    if (i >= j || isPalindrome(s, i, j))
+        return 0;  
+
+    if (dp[i][j] != -1)
+        return dp[i][j];
+
+    int ans = INT_MAX;
+
+    for (int k = i; k < j; k++) {
+        if (isPalindrome(s, i, k)) { 
+            int right = minCuts(s, k + 1, j, dp);
+            ans = min(ans, 1 + right);
+        }
+    }
+
+    return dp[i][j] = ans;
+}
+
+int main() {
+    string s;
+    cout << "Enter a string: ";
+    cin >> s;
+
+    int n = s.size();
+    vector<vector<int>> dp(n, vector<int>(n, -1));
+
+    cout << "Minimum number of cuts needed for palindrome partitioning: "
+         << minCuts(s, 0, n - 1, dp) << endl;
+
+    return 0;
+}