Create Subset-Sum.cpp

Dynamic Programming/Subset-Sum.cpp

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+
+// Subset Sum Problem (DP)
+#include <bits/stdc++.h>
+
+using namespace std;
+// Returns true if there is a subset of set[] with sun equal to given sum
+bool isSubsetSum(int set[], int n, int sum){
+  bool subset[n+1][sum+1];
+  for (int i = 0; i <= n; i++)
+  subset[i][0] = true;
+  for (int i = 1; i <= sum; i++)
+  subset[0][i] = false;
+  for (int i = 1; i <= n; i++){
+    for (int j = 1; j <= sum; j++){
+      if(j<set[i-1])
+      subset[i][j] = subset[i-1][j];
+      if (j >= set[i-1])
+      subset[i][j] = subset[i-1][j] || subset[i - 1][j-set[i-1]];
+    }
+  }
+  return subset[n][sum];
+}
+
+int main()
+{
+  int n,sum;
+  //input n - size of set and sum
+  cin>>n>>sum;
+  int set[n];
+  //input elements of set
+  for(int i=0;i<n;i++)
+    cin>>set[i];
+  if (isSubsetSum(set, n, sum) == true)
+    cout<<"Found a subset with sum : "<<sum<<endl;
+  else
+    cout<<"No subset found with given sum : "<<sum<<endl;
+  return 0;
+}