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dynamic programming to find minimum number of coins to make value

Worried Warbler answered on January 31, 2022 Popularity 3/10 Helpfulness 1/10

answer dynamic programming to find minimum number of coins to make value

dynamic programming to find minimum number of coins to make value

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// 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;
          }
    }
   
      if(table[V]==INT_MAX)
        return -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;
}

Popularity 3/10 Helpfulness 1/10 Language whatever

Source: www.geeksforgeeks.org

Tags: dynamic-programming find minimum whatever

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Contributed on Jan 31 2022

Worried Warbler

0 Answers Avg Quality 2/10

dynamic programming to find minimum number of coins to make value

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