From f0fd75d60c9a560028f9c13aab00f19e86cb7349 Mon Sep 17 00:00:00 2001
From: Srajika gupta <32300828+srajika256@users.noreply.github.com>
Date: Fri, 30 Oct 2020 17:20:42 +0530
Subject: [PATCH] Create PalindromePartitioning

---
 Dynamic Programming/PalindromePartitioning | 85 ++++++++++++++++++++++
 1 file changed, 85 insertions(+)
 create mode 100644 Dynamic Programming/PalindromePartitioning

diff --git a/Dynamic Programming/PalindromePartitioning b/Dynamic Programming/PalindromePartitioning
new file mode 100644
index 0000000..0612e92
--- /dev/null
+++ b/Dynamic Programming/PalindromePartitioning	
@@ -0,0 +1,85 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+#define int long long
+
+void cpc()
+{
+	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
+#ifndef ONLINE_JUDGE
+	freopen("input.txt", "r", stdin);
+	freopen("output.txt", "w", stdout);
+#endif
+}
+
+int palpart(string s)
+{
+	int n = s.length();
+
+	bool ispal[n][n];
+
+	for (int i = 0; i < n; i++)
+	{ispal[i][i] = 1;}
+
+	for (int i = 0; i < n - 1; i++)
+	{
+		if (s[i] == s[i + 1])
+		{ispal[i][i + 1] = 1;}
+		else
+		{ispal[i][i + 1] = 0;}
+	}
+
+	for (int gap = 2; gap < n; gap++)
+	{
+		for (int i = 0; i < n - gap; i++)
+		{
+			if (s[i] == s[i + gap])
+			{ispal[i][i + gap] = ispal[i + 1][i + gap - 1];}
+			else
+			{ispal[i][i + gap] = 0;}
+		}
+	}
+
+	int dp[n][n];
+
+	for (int i = 0; i < n; i++)
+		dp[i][i] = 0;
+
+	for (int i = 0; i < n - 1; i++)
+	{
+		if (s[i] == s[i + 1])
+			dp[i][i + 1] = 0;
+		else
+			dp[i][i + 1] = 1;
+	}
+
+	for (int gap = 2; gap < n; gap++)
+	{
+
+		for (int i = 0; i < n - gap; i++)
+		{
+			dp[i][i + gap] = gap;
+			if (ispal[i][i + gap])
+			{dp[i][i + gap] = 0;}
+			else {
+				for (int k = i; k < i + gap; k++)
+					dp[i][i + gap] = min(dp[i][i + gap], 1 + dp[i][k] + dp[k + 1][i + gap]);
+			}
+		}
+	}
+
+	return dp[0][n - 1];
+
+}
+
+
+int32_t main()
+{
+	cpc();
+
+	string s;
+	cin >> s;
+
+	cout << palpart(s);
+	return 0;
+}