Check out example codes for "least number of coins to form a sum". It will help you in understanding the concepts better.

Code Example 1

// A Dynamic Programming based C++ program to find minimum of coins 
// to make a given change V 
#include<bits/stdc++.h> 
using namespace std; 
  
// m is size of coins array (number of different coins) 
int minCoins(int coins[], int m, int V) 
{ 
    // table[i] will be storing the minimum number of coins 
    // required for i value.  So table[V] will have result 
    int table[V+1]; 
  
    // Base case (If given value V is 0) 
    table[0] = 0; 
  
    // Initialize all table values as Infinite 
    for (int i=1; i<=V; i++) 
        table[i] = INT_MAX; 
  
    // Compute minimum coins required for all 
    // values from 1 to V 
    for (int i=1; i<=V; i++) 
    { 
        // Go through all coins smaller than i 
        for (int j=0; j<m; j++) 
          if (coins[j] <= i) 
          { 
              int sub_res = table[i-coins[j]]; 
              if (sub_res != INT_MAX && sub_res + 1 < table[i]) 
                  table[i] = sub_res + 1; 
          } 
    } 
    return table[V]; 
} 
  
// Driver program to test above function 
int main() 
{ 
    int coins[] =  {9, 6, 5, 1}; 
    int m = sizeof(coins)/sizeof(coins[0]); 
    int V = 11; 
    cout << "Minimum coins required is "
         << minCoins(coins, m, V); 
    return 0; 
}

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