九宮格，每行每列及對角之和是15

1至9九個數字，橫豎都有3個格，思考怎么使每行、每列和對角線上的三數之和都等於15

# !/usr/bin/env python
# -*- coding:utf-8 -*-
# Author:Hiuhung Wan

list0 = []  # 除了中間那個數是5，周圍的是別的數
for i in range(1, 10):
    if i == 5:
        continue
    list0.append(i)

'''
假設第一個數是x,第二個是y,那么這9個數應該是：
x	        y	    15-x-y
20-2x-y	    5	    2x+y-10
x+y-5	    10-y	10-x    
'''
count = 0
for x in list0:
    list_temp = list0[:]  # 復制
    list_temp.remove(x)   # 去除x后的列表
    for y in list_temp:
        set0 = set([x, y, 15 - x - y, 20 - 2 * x - y, 5, 2 * x + y - 10, x + y - 5, 10 - y, 10 - x])
        if (15-x-y) in list0 and (20-2*x-y) in list0 and (2*x+y-10) in list0 and (x+y-5) in list0 and (10-y) in list0 and (10-x) in list0 and len(set0) == 9:
            count += 1
            print("第%s種情況：x = %s, y = %s" % (count, x, y))
            print(x, y, 15 - x - y)
            print(20 - 2 * x - y, 5, 2 * x + y - 10)
            print(x + y - 5, 10 - y, 10 - x)

　　

運行結果如下：

第1種情況：x = 2, y = 7
2 7 6
9 5 1
4 3 8
第2種情況：x = 2, y = 9
2 9 4
7 5 3
6 1 8
第3種情況：x = 4, y = 3
4 3 8
9 5 1
2 7 6
第4種情況：x = 4, y = 9
4 9 2
3 5 7
8 1 6
第5種情況：x = 6, y = 1
6 1 8
7 5 3
2 9 4
第6種情況：x = 6, y = 7
6 7 2
1 5 9
8 3 4
第7種情況：x = 8, y = 1
8 1 6
3 5 7
4 9 2
第8種情況：x = 8, y = 3
8 3 4
1 5 9
6 7 2

Process finished with exit code 0