Coin sums

https://projecteuler.net/problem=31

Coin sums

Problem 31

In England the currency is made up of pound, £, and pence, p, and there are eight coins in general circulation:

1p, 2p, 5p, 10p, 20p, 50p, £1 (100p) and £2 (200p).

It is possible to make £2 in the following way:

1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p

How many different ways can £2 be made using any number of coins?

使用动态规划方法

def coinSum():    #目标200    target = 200    coinList = [1,2,5,10,20,50,100,200]    #准备记录过程中的所有线路数量    resultList=[0] * (target+1)    #第零个是1    resultList[0]=1    for i in range(0,len(coinList)):        #测试每一个类型        for j in range(coinList[i],target+1):            #最新的线路数量，更新            resultList[j] += resultList[j - coinList[i]]    return resultList[200]print(coinSum())