"Describe a dynamic programming algorithm to determine the minimum number of coins to make c cents with coin denominations v1; v2; : : : vk." Code Answer's

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Describe a dynamic programming algorithm to determine the minimum number of coins to make c cents with coin denominations v1; v2; : : : vk.

Fragile Flatworm on Apr 12, 2021

INF = 100000

def min(x, y):
  if x < y:
    return x
  return y

#k is number of denominations of the coin or length of d
def coin_change(d, n, k):
  M = [0]*(n+1)

  for j in range(1, n+1):
    minimum = INF

    for i in range(1, k+1):
      if(j >= d[i]):
        minimum = min(minimum, 1+M[j-d[i]])
    M[j] = minimum
  return M[n]

if __name__ == '__main__':
  # array starting from 1, element at index 0 is fake
  d = [0, 1, 2, 3]
  print(coin_change(d, 5, 3)) #to make 5. Number of denominations = 3

Source: www.codesdope.com

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"Describe a dynamic programming algorithm to determine the minimum number of coins to make c cents with coin denominations v1; v2; : : : vk." Code Answer's