From 43e97b9dfec320c35230bea19fcebcb64589d31c Mon Sep 17 00:00:00 2001
From: Purnima Pal <purnimapal@Purnimas-MacBook-Air.local>
Date: Sun, 10 Oct 2021 10:14:03 +0530
Subject: [PATCH]  added subset sum problem

---
 .../DynamicProgramming/C++/SubsetSum.cpp      | 40 +++++++++++++++++++
 1 file changed, 40 insertions(+)
 create mode 100644 Algorithms/DynamicProgramming/C++/SubsetSum.cpp

diff --git a/Algorithms/DynamicProgramming/C++/SubsetSum.cpp b/Algorithms/DynamicProgramming/C++/SubsetSum.cpp
new file mode 100644
index 0000000..d24e9be
--- /dev/null
+++ b/Algorithms/DynamicProgramming/C++/SubsetSum.cpp
@@ -0,0 +1,40 @@
+#include<iostream>
+using namespace std; 
+
+ bool isSubsetSum(int N, int arr[], int sum){    
+        int dp[N+1][sum+1]; 
+        
+        for(int i = 0 ; i <= N ; i++){
+            for(int j = 0 ; j <= sum ; j++){
+                if(i==0){
+                    dp[i][j]= false;
+                }
+                if(j==0){
+                    dp[i][j]= true;
+                }
+                
+                if(i>0 and j >0){
+
+                if(arr[i-1]<=j){
+                    dp[i][j]= dp[i-1][j-arr[i-1]] or dp[i-1][j];
+                }else{
+                    dp[i][j]=dp[i-1][j];
+                }
+            }
+           }
+        }
+        
+        return dp[N][sum];
+    }
+
+    int main()
+{
+    int set[] = { 3, 34, 4, 12, 5, 2 };
+    int sum = 9;
+    int n = sizeof(set) / sizeof(set[0]);
+    if (isSubsetSum( n,set, sum) == true)
+         cout <<"Found a subset with given sum";
+    else
+        cout <<"No subset with given sum";
+    return 0;
+}
\ No newline at end of file