From 88b48a12ab2a1bcd953e1d6b0209e7c19664ac30 Mon Sep 17 00:00:00 2001
From: Asif Ahmad <67323237+apexx77@users.noreply.github.com>
Date: Thu, 21 Oct 2021 20:04:46 +0530
Subject: [PATCH] Created longest_common_subsequence.cpp

---
 CPP/longest_common_subsequence.cpp | 38 ++++++++++++++++++++++++++++++
 1 file changed, 38 insertions(+)
 create mode 100644 CPP/longest_common_subsequence.cpp

diff --git a/CPP/longest_common_subsequence.cpp b/CPP/longest_common_subsequence.cpp
new file mode 100644
index 0000000..11c76ff
--- /dev/null
+++ b/CPP/longest_common_subsequence.cpp
@@ -0,0 +1,38 @@
+// Problem Statement : Given two strings, find the longest common subsequence
+
+#include<bits/stdc++.h>
+const int mod = 1e9 + 7;
+using namespace std;
+
+// Function to find LCS
+
+int lcs(int x, int y, string s1, string s2) {
+    int dp[x + 1][y + 1];
+    memset(dp, -1, sizeof(dp));
+    for (int i = 0; i <= x; i++) {
+        for (int j = 0; j <= y; j++) {
+            if (i == 0 || j == 0) dp[i][j] = 0;
+            else {
+                if (s1[i - 1] == s2[j - 1]) {
+                    dp[i][j] = 1 + dp[i - 1][j - 1];
+                }
+                else dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
+            }
+        }
+    } return dp[x][y];
+}
+
+// Main function
+
+int main() {
+
+    int n, k, x, y;
+    cout << "Enter the lengths of strings : " << "\n";
+    cin >> x >> y;
+    string s1, s2;
+    cout << "Enter the strings : " << "\n";
+    cin >> s1 >> s2;
+    cout << "The length of longest commmon subsequence is : " << lcs(x, y, s1, s2) << endl;
+
+    return 0;
+}