import numpy as np
# 改好的！！！
# a=[[2.07281259690102,259.262901730268],
# [2.08755045403027,439.007071864712],
# [0.0506263615854938,259.262901730268],
# [1.59371377274633,78.7012783694741],
# [0.886343572877322,59.7129172451383]]
def TOPSIS(a):

    a = [[1 / x if x != 0 else 1000000 for x in row] for row in a]


    m = len(a)
    n = len(a[0])

    x = np.zeros((m, n))
    for i in range(m):
        for j in range(n):
            x[i][j] = a[i][j] / (np.sqrt(sum([row[j] ** 2 for row in a])))

    minx = np.min(x, axis=0)
    maxx = np.max(x, axis=0)

    a = np.array(a)  # 将列表转换为NumPy数组

    Dmin  = np.zeros(len(a[:,1]))
    Dmax = np.zeros(len(a[:,1]))
    for i in range(len(a[:,1])):
        for j in range(len(a[1,:])):
            Dmin[i] += (x[i,j] - minx[j])**2
            Dmax[i] += (x[i,j] - maxx[j])**2

    Dmin = np.sqrt(Dmin)
    Dmax = np.sqrt(Dmax)
    B = np.zeros(len(a[:,1]))
    for i in range(len(a[:,1])):
        B[i] = Dmin[i] / (Dmin[i] + Dmax[i])

    m, n = np.max(B), np.argmax(B)
    # print(m)
    # print(n)
    return m, n