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52 changes: 52 additions & 0 deletions Dynamic Programming/CoinChange.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,52 @@
/**
*
* @author Varun Upadhyay (https://github.com/varunu28)
*
*/

public class CoinChange {

// Driver Program
public static void main(String[] args) {

int amount = 12;
int[] coins = {1, 2, 5};

System.out.println("Number of combinations of getting change for " + amount + " is: " + change(coins, amount));
}

/**
* This method finds the number of combinations of getting change for a given amount and change coins
*
* @param coins The list of coins
* @param amount The amount for which we need to find the change
* Finds the number of combinations of change
**/
public static int change(int[] coins, int amount) {

int[] combinations = new int[amount+1];
combinations[0] = 1;

for (int coin : coins) {
for (int i=coin; i<amount+1; i++) {
if (i>=coin) {
combinations[i] += combinations[i-coin];
}
}
// Uncomment the below line to see the state of combinations for each coin
// printAmount(combinations);
}

return combinations[amount];
}

// A basic print method which prints all the contents of the array
public static void printAmount(int[] arr) {

for (int i=0; i<arr.length; i++) {
System.out.print(arr[i] + " ");
}
System.out.println();
}

}