找零钱问题动态规划

import numpy as np
import math
inf = math.inf


def run(sets, num):


    dp = [-inf]*(num+1)
    dp[0] = 0
    count = list(range(np.size(dp)))
    del(count[0])
    jz = np.zeros((num+1, np.size(sets)))

    for i in count:
        dp_f = []
        k_f = []

        for k in sets:
            if i >= k:
                if dp[i-k] != -inf:
                    dp_f.append(dp[i-k])
                    k_f.append(sets.index(k))
        dic_k = dict(zip(dp_f, k_f))

        if np.size(dp_f) > 0:
            dp[i] = min(dp_f)+1
            mm = dic_k[min(dp_f)]
            kk = [0]*np.size(sets)
            kk[mm] = 1
            jz[i][:] = jz[i-sets[mm]][:]+kk
            # print("指定第", i, "行", "在", i-sets[mm], "行上", mm, "位置", jz[i-sets[mm]][:], "加上1")
        else:
            dp[i] = -inf
            jz[i][:] = [inf]*np.size(sets)
    #     print(dp)
    # print(jz)
    return jz


if __name__ == "__main__":
    SETS = [5, 1, 2, 10, 20]
    NUM = 2325
    jz = run(SETS, NUM)
    print("------------最终结果-------------", jz[NUM])