Create Coin change-2

Coin change-2

@@ -0,0 +1,39 @@
+#include <bits/stdc++.h>
+
+using namespace std;
+
+long countWaysToMakeChangeUtil(vector<int>& arr,int ind, int T, vector<vector<long
+>>& dp){
+
+    if(ind == 0){
+        return (T%arr[0]==0);
+    }
+
+    if(dp[ind][T]!=-1)
+        return dp[ind][T];
+
+    long notTaken = countWaysToMakeChangeUtil(arr,ind-1,T,dp);
+
+    long taken = 0;
+    if(arr[ind] <= T)
+        taken = countWaysToMakeChangeUtil(arr,ind,T-arr[ind],dp);
+
+    return dp[ind][T] = notTaken + taken;
+}
+
+
+long countWaysToMakeChange(vector<int>& arr, int n, int T){
+
+    vector<vector<long>> dp(n,vector<long>(T+1,-1));
+    return countWaysToMakeChangeUtil(arr,n-1, T, dp);
+}
+
+int main() {
+
+  vector<int> arr ={1,2,3};
+  int target=4;
+
+  int n =arr.size();
+
+  cout<<"The total number of ways is " <<countWaysToMakeChange(arr,n,target);
+}