added PrintShortestCommonSupersequence

Author: kavita121

20. Dynamic Programming/PrintShortestCommonSupersequence.cpp

@@ -0,0 +1,93 @@
+//Print Shortest Common Supersequence
+
+#include<bits/stdc++.h>
+using namespace std;
+
+
+class Solution
+{
+    public:
+    //Function to find shortest common supersequence string of two strings.
+    string shortestCommonSupersequence(string x, string y, int m, int n)
+    {
+        int dp[m+1][n+1];
+
+        for(int i=0; i<=m; i++)
+        {
+            for(int j=0; j<=n; j++)
+            {
+                if(i == 0 || j == 0)
+                {
+                    dp[i][j] = 0;
+                }
+                else if(x[i-1] == y[j-1])
+                {
+                    dp[i][j] = dp[i-1][j-1] + 1;
+                }
+                else
+                {
+                    dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
+                }
+            }
+        }
+
+        int i = m, j = n;
+        string ans = "";
+
+        while(i > 0 && j > 0)
+        {
+            if(x[i-1] == y[j-1])
+            {
+                ans.push_back(x[i-1]);
+                i--; 
+                j--;
+            }
+            else if(dp[i][j-1] > dp[i-1][j])
+            {
+                ans.push_back(y[j-1]);
+                j--;
+            }
+            else
+            {
+                ans.push_back(x[i-1]);
+                i--;
+            }
+        }
+
+        while(i>0)
+        {
+            ans.push_back(x[i-1]);
+            i--;
+        }
+
+        while(j>0)
+        {
+            ans.push_back(y[j-1]);
+            j--;
+        }
+
+        reverse(ans.begin(), ans.end());
+        return ans;
+    }
+};
+
+
+
+int main()
+{   
+    
+    int t;
+    
+    //taking total testcases
+    cin >> t;
+    while(t--){
+    string X, Y;
+    //taking String X and Y
+	cin >> X >> Y;
+	
+	//calling function shortestCommonSupersequence()
+	Solution obj;
+	cout << obj.shortestCommonSupersequence(X, Y, X.size(), Y.size())<< endl;
+    }
+	return 0;
+}