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【系統思考】執兩用中-破解N階魔幻數字(Magic Number)
N階幻數每行、每列、每條斜線上N個數字總和:M = N(N2+1)/2
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三階幻數(n=3) |
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四階幻數(n=4) |
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M=n(n2+1)/2=15 |
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M=n(n2+1)/2=34 |
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2 |
9 |
4 |
1 |
15 |
14 |
4 |
|
|
7 |
5 |
3 |
12 |
6 |
7 |
9 |
|
|
6 |
1 |
8 |
8 |
10 |
11 |
5 |
|
|
|
13 |
3 |
2 |
16 |
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五階幻數(n=5) |
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四階幻數(n=4) |
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M=n(n2+1)/2=65 |
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M=n(n2+1)/2=34 |
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23 |
2 |
6 |
15 |
19 |
12 |
1 |
13 |
8 |
|
|
11 |
20 |
24 |
3 |
7 |
3 |
6 |
10 |
15 |
|
|
4 |
8 |
12 |
16 |
25 |
14 |
11 |
7 |
2 |
|
|
17 |
21 |
5 |
9 |
13 |
5 |
16 |
4 |
9 |
|
|
10 |
14 |
18 |
22 |
1 |
|
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