# Helper function that calculates the amount left to be calculated and tells what its value can be.
def calculate_minimum_coins(coins, rem, counter):
    if rem < 0: 
        return -1
    if rem == 0:
        return 0
    if counter[rem - 1] != float('inf'):
        return counter[rem - 1]
    minimum = float('inf')

def coin_change(coins, total): # Main function
    if total < 1:
        return 0
    print("The current total is more than zero, hence we need to call the helper function to calculate the minimum number of coins needed.\n")
    print("We will pass three parameters to our helper function:\n")
    print("The first parameter would be the coins we have which are:", coins)
    print("The second parameter would be the total we have to calculate which is:", total)
    print("The third parameter is the counter which is initially set to:", [float('inf')] * total)
    return calculate_minimum_coins(coins, total, [float('inf')] * total)

coins = [1, 3, 4, 5]
total = 7

coin_change(coins,total)