Lecture Notes on 28 Apr 2017

def dpMakeChange (coinList, change, minCoins, coinsUsed):
  for cents in range (change + 1):
    coinCount = cents
    newCoin = 1
    for j in [c for c in coinList if c <= cents]:
      if minCoins[cents - j] + 1 < coinCount:
        coinCount = minCoins[cents - j] + 1
        newCoin = j
    minCoins[cents] = coinCount
    coinsUsed[cents] = newCoin
  return minCoins[change]

def printCoins (coinsUsed, change):
  coin = change
  while coin > 0:
    thisCoin = coinsUsed[coin]
    print (thisCoin)
    coin = coin - thisCoin

def main():
  coinList = [1, 3, 8, 12, 22]
  coinCount = []
  coinsUsed = []
  change = int (input ("Enter change: "))
  for i in range (change + 1):
    coinCount.append (0)
    coinsUsed.append (0)

  numCoins = dpMakeChange (coinList, change, coinCount, coinsUsed)
  print ("Minimum number of coins needed is", numCoins, "to make change", change)
  print ('The coins are: ')
  printCoins (coinsUsed, change)

main()