From 8b6511b53f9953bcc9f97c9eb6dd9d71168c9fe9 Mon Sep 17 00:00:00 2001
From: Kanishk <56789607+kanishkguptagit@users.noreply.github.com>
Date: Sat, 29 Oct 2022 16:56:19 +0530
Subject: [PATCH] Create SuperSequenceRec.java

---
 DynamicProgramming/SuperSequenceRec.java | 46 ++++++++++++++++++++++++
 1 file changed, 46 insertions(+)
 create mode 100644 DynamicProgramming/SuperSequenceRec.java

diff --git a/DynamicProgramming/SuperSequenceRec.java b/DynamicProgramming/SuperSequenceRec.java
new file mode 100644
index 0000000..0d1ee10
--- /dev/null
+++ b/DynamicProgramming/SuperSequenceRec.java
@@ -0,0 +1,46 @@
+import java.util.*;
+
+public class SuperSequenceRec
+{
+	static int t[][];
+
+	static void initializeLCS(int n, int m)
+	{
+		t = new int [n+1][m+1];
+
+		for (int i=0; i<n+1; i++) 
+		{
+			for (int j=0; j<m+1; j++) 
+			{
+				t[i][j] = -1;
+			}
+		}
+	}
+
+	static int lcs (String x, String y, int n, int m)
+	{
+		if(m==0 || n==0)
+			return t[n][m] = 0;
+
+		if(t[n][m]!=-1)
+			return t[n][m];
+
+		if(x.charAt(n-1) == y.charAt(m-1))
+			return t[n][m] = 1+lcs(x,y,n-1,m-1);
+
+		return t[n][m] = Math.max(lcs(x,y,n-1,m), lcs(x,y,n,m-1));
+	}
+
+	public static void main(String[] args)
+	{
+		String x,y;
+		int res;
+		Scanner in = new Scanner(System.in);
+		x = in.next();
+		y = in.next();
+		initializeLCS(x.length(),y.length());
+		res = lcs(x,y,x.length(), y.length());
+		res = x.length()+y.length()-res;
+		System.out.println(res);
+	}
+}