python/make_change.py at master · addie/python · GitHub

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def recMC(coinValueList,change):
    minCoins = change
    if change in coinValueList:
        return 1
    else:
        for i in [c for c in coinValueList if c <= change]:
            numCoins = 1 + recMC(coinValueList,change-i)
            if numCoins < minCoins:
                minCoins = numCoins
    return minCoins

def recDC(coinValueList,change,knownResults):
    minCoins = change
    if change in coinValueList:
        knownResults[change] = 1
        return 1
    elif knownResults[change] > 0:
        return knownResults[change]
    else:
        for i in [c for c in coinValueList if c <= change]:
            numCoins = 1 + recDC(coinValueList, change-i, knownResults)
            if numCoins < minCoins:
                minCoins = numCoins
                knownResults[change] = minCoins
    return minCoins

def dpMakeChange(coinValueList,change,minCoins,coinsUsed):
   for cents in range(change+1):
      coinCount = cents
      newCoin = 1
      for j in [c for c in coinValueList 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

if __name__ == "__main__":
    amnt = 33
    clist = [1,5,8,10,21,25]
    coinsUsed = [0]*(amnt+1)
    coinCount = [0]*(amnt+1)

    print "Making change for",amnt,"requires",
    print dpMakeChange(clist,amnt,coinCount,coinsUsed),"coins"
    print "They are:",
    printCoins(coinsUsed,amnt)
    print
    print("The used list is as follows:")
    print(coinsUsed)