1-12数字填空一个六角形的每个交点有一个圆圈,在这些圆圈里填入1--12,使用的数字不能重复,每条线上的四个圆圈里的数字之和都相等.

Question

1-12数字填空
一个六角形的每个交点有一个圆圈,在这些圆圈里填入1--12,使用的数字不能重复,每条线上的四个圆圈里的数字之和都相等.

Answer 1

编来 一个C代码,仅1开头的就有80种.
有趣的是他们的线上和=26.
No.1, Line Sum=26.
1 5
2
10 11
9 12
8 4
3
7 6
No.2, Line Sum=26.
1 5
2
10 12
9 11
7 3
4
8 6
No.3, Line Sum=26.
1 7
2
9 12
8 11
10 4
5
6 3
No.4, Line Sum=26.
1 8
2
9 11
7 12
10 3
5
6 4
No.5, Line Sum=26.
1 5
3
11 10
7 12
6 2
4
8 9
No.6, Line Sum=26.
1 8
3
11 10
4 12
9 2
7
5 6
No.7, Line Sum=26.
1 8
3
9 12
6 10
11 4
7
5 2
No.8, Line Sum=26.
1 2
4
12 10
8 11
6 5
3
7 9
No.9, Line Sum=26.
1 3
4
8 12
11 9
7 5
2
10 6
No.10, Line Sum=26.
1 7
4
12 11
3 10
8 2
9
5 6
No.11, Line Sum=26.
1 3
5
11 12
7 8
4 2
6
10 9
No.12, Line Sum=26.
1 4
5
10 8
7 12
6 3
2
9 11
No.13, Line Sum=26.
1 4
5
7 11
10 9
6 3
2
12 8
No.14, Line Sum=26.
1 4
5
6 12
11 8
10 7
2
9 3
No.15, Line Sum=26.
1 7
5
12 9
2 11
10 4
8
3 6
No.16, Line Sum=26.
1 7
5
10 11
4 9
12 6
8
3 2
No.17, Line Sum=26.
1 9
5
10 8
2 12
11 3
7
4 6
No.18, Line Sum=26.
1 10
5
7 11
4 9
12 3
8
6 2
No.19, Line Sum=26.
1 2
6
10 12
8 7
4 3
5
11 9
No.20, Line Sum=26.
1 3
6
12 11
5 8
4 2
7
9 10
No.21, Line Sum=26.
1 5
6
12 10
3 9
11 7
8
2 4
No.22, Line Sum=26.
1 5
6
11 10
4 9
12 8
7
2 3
No.23, Line Sum=26.
1 8
6
9 12
3 7
11 4
10
5 2
No.24, Line Sum=26.
1 11
6
5 10
4 9
12 2
7
8 3
No.25, Line Sum=26.
1 2
7
11 8
6 10
5 4
3
9 12
No.26, Line Sum=26.
1 2
7
12 10
5 8
4 3
6
9 11
No.27, Line Sum=26.
1 3
7
11 6
5 12
10 8
2
4 9
No.28, Line Sum=26.
1 3
7
12 8
4 10
11 9
5
2 6
No.29, Line Sum=26.
1 3
7
11 12
5 6
4 2
8
10 9
No.30, Line Sum=26.
1 4
7
9 8
6 10
5 2
3
11 12
No.31, Line Sum=26.
1 4
7
5 12
10 6
11 8
3
9 2
No.32, Line Sum=26.
1 10
7
5 6
4 12
11 2
3
9 8
No.33, Line Sum=26.
1 2
8
9 11
7 6
4 3
5
12 10
No.34, Line Sum=26.
1 2
8
10 12
6 5
4 3
7
11 9
No.35, Line Sum=26.
1 3
8
9 10
6 7
4 2
5
12 11
No.36, Line Sum=26.
1 4
8
12 6
2 11
10 7
5
3 9
No.37, Line Sum=26.
1 4
8
11 7
3 10
12 9
5
2 6
No.38, Line Sum=26.
1 7
8
9 12
2 5
10 4
11
6 3
No.39, Line Sum=26.
1 11
8
4 7
3 10
12 2
5
9 6
No.40, Line Sum=26.
1 2
9
12 6
3 10
8 7
4
5 11
No.41, Line Sum=26.
1 2
9
8 10
7 6
12 11
4
5 3
No.42, Line Sum=26.
1 3
9
10 5
4 11
8 6
2
7 12
No.43, Line Sum=26.
1 3
9
12 11
2 5
6 4
10
7 8
No.44, Line Sum=26.
1 3
9
6 11
8 5
12 10
4
7 2
No.45, Line Sum=26.
1 5
9
10 12
2 4
7 3
11
8 6
No.46, Line Sum=26.
1 6
9
8 4
3 12
10 5
2
7 11
No.47, Line Sum=26.
1 6
9
7 5
4 11
8 3
2
10 12
No.48, Line Sum=26.
1 6
9
3 11
8 5
12 7
4
10 2
No.49, Line Sum=26.
1 7
9
8 4
2 12
11 5
3
6 10
No.50, Line Sum=26.
1 7
9
2 10
8 6
11 5
3
12 4
No.51, Line Sum=26.
1 8
9
2 10
7 6
12 5
4
11 3
No.52, Line Sum=26.
1 2
10
9 7
5 8
12 11
3
4 6
No.53, Line Sum=26.
1 2
10
11 8
3 7
5 4
6
9 12
No.54, Line Sum=26.
1 2
10
5 11
9 4
8 7
3
12 6
No.55, Line Sum=26.
1 4
10
9 8
3 7
5 2
6
11 12
No.56, Line Sum=26.
1 4
10
5 12
7 3
11 8
6
9 2
No.57, Line Sum=26.
1 6
10
8 4
2 11
12 7
3
5 9
No.58, Line Sum=26.
1 7
10
5 6
4 9
8 2
3
12 11
No.59, Line Sum=26.
1 8
10
6 4
2 11
12 5
3
7 9
No.60, Line Sum=26.
1 9
10
2 7
5 8
12 4
3
11 6
No.61, Line Sum=26.
1 9
10
2 8
5 7
11 3
4
12 6
No.62, Line Sum=26.
1 3
11
10 5
2 9
8 6
4
7 12
No.63, Line Sum=26.
1 3
11
8 12
4 2
7 5
9
10 6
No.64, Line Sum=26.
1 4
11
3 9
8 5
10 7
2
12 6
No.65, Line Sum=26.
1 4
11
6 12
5 2
10 7
8
9 3
No.66, Line Sum=26.
1 5
11
7 4
3 10
12 8
2
6 9
No.67, Line Sum=26.
1 5
11
7 10
3 4
6 2
8
12 9
No.68, Line Sum=26.
1 6
11
7 5
2 9
8 3
4
10 12
No.69, Line Sum=26.
1 7
11
5 4
3 10
12 6
2
8 9
No.70, Line Sum=26.
1 7
11
3 6
5 8
10 4
2
12 9
No.71, Line Sum=26.
1 2
12
9 6
3 7
11 10
4
5 8
No.72, Line Sum=26.
1 2
12
8 10
4 3
6 5
7
11 9
No.73, Line Sum=26.
1 2
12
5 10
7 3
9 8
4
11 6
No.74, Line Sum=26.
1 3
12
9 8
2 5
6 4
7
10 11
No.75, Line Sum=26.
1 3
12
4 8
7 5
11 9
2
10 6
No.76, Line Sum=26.
1 3
12
6 11
5 2
10 8
7
9 4
No.77, Line Sum=26.
1 4
12
7 11
3 2
8 5
9
10 6
No.78, Line Sum=26.
1 5
12
7 4
2 9
10 6
3
8 11
No.79, Line Sum=26.
1 5
12
6 4
3 9
11 7
2
8 10
No.80, Line Sum=26.
1 8
12
4 6
2 7
10 3
5
11 9
End.