From 466088c65b0462d9e45fc085cc70ed2d461bd6e1 Mon Sep 17 00:00:00 2001
From: bpsingh10 <44584648+bpsingh10@users.noreply.github.com>
Date: Fri, 2 Oct 2020 10:57:36 +0530
Subject: [PATCH] Create LongestCommonSubstringLength.cpp

---
 Recursion DP/LongestCommonSubstringLength.cpp | 41 +++++++++++++++++++
 1 file changed, 41 insertions(+)
 create mode 100644 Recursion DP/LongestCommonSubstringLength.cpp

diff --git a/Recursion DP/LongestCommonSubstringLength.cpp b/Recursion DP/LongestCommonSubstringLength.cpp
new file mode 100644
index 0000000..ee5127b
--- /dev/null
+++ b/Recursion DP/LongestCommonSubstringLength.cpp	
@@ -0,0 +1,41 @@
+// A dynamic programming CPP program to find
+// Length of Longest Common Subtring of two strings.
+#include <bits/stdc++.h>
+using namespace std;
+
+int lcs(const string &s1, const string &s2)
+{
+	vector<vector<int>> dp(s1.length() + 1, vector<int>(s2.length() + 1));
+	int maxLength = 0;
+	for (int i = 1; i <= s1.length(); i++)
+	{
+		for (int j = 1; j <= s2.length(); j++)
+		{
+			if (s1[i - 1] == s2[j - 1])
+			{
+				dp[i][j] = 1 + dp[i - 1][j - 1];
+				maxLength = max(maxLength, dp[i][j]);
+			}
+		}
+	}
+	return maxLength;
+}
+
+// Driver Code
+int main()
+{
+	string str1, str2;
+	cout << "Enter First String: ";
+	cin >> str1;
+	cout << "Enter Second String: ";
+	cin >> str2;
+	int m = str1.size();
+	int n = str2.size();
+
+	cout << "Length of LCS is "
+	     << lcs( str1, str2, m, n );
+
+	return 0;
+}
+
+// This code is contributed by Bhanu Pratap Singh