три шарика в матрице, Python 3

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import math
max = 0
dist = 0
a = 6
b = 6 
x1, y1, x2, y2, x3, y3 = 1, 1, 1, 2, 1, 3
for i in range(1,a):
    for j in range(1,b):
        for p in range(1,a):
            for q in range(1,b):
                for m in range(1,a):
                    for k in range(1,b):
                        if i != p and j != q and i != m and j != k and j != m and q != k:
                            x1 = min (i, a-i)
                            y1 = min (j, b-j)
                            x2 = min (p, a-p)
                            y2 = min (q, b-q)
                            x3 = min (m, a-m)
                            y3 = min (k, b-k)
                            dist = x1 + y1 + x2 + y2 + x3 + y3 + \
                                   math.sqrt((x1-x2)*(x1-x2)+ (y1-y2)*(y1-y2)) + \
                                   math.sqrt((x1-x3)*(x1-x3)+ (y1-y3)*(y1-y3)) + \
                                   math.sqrt((x3-x2)*(x3-x2)+ (y3-y2)*(y3-y2))
                        if dist > max:
                            max = dist
                            print(x1, y1, x2, y2, x3, y3,  max)
                        #print(i, j, p, q, dist)

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