作者EIORU ()
看板puzzle
標題Re: [問題] 數獨另ㄧ問
時間Sun Apr 13 23:12:31 2008
(2,4,5) (3,4,5) (1,2) | 7 6 9 | (2,3,4,5) 8 (1,4)
(2,4,7) (3,4,6) 9 | 5 8 (1,2) | (2,3,4,7) (1,2,6) (1,4,6,7)
8 (5,6) (1,2,6,7) | 3 4 (1,2) | (2,5,7) (1,2,5,6) 9
------------------------------------------------------------------------------
3 1 5 | 8 9 4 | 6 7 2
6 7 8 | 2 1 3 | 9 4 5
9 2 4 | 6 5 7 | 1 3 8
------------------------------------------------------------------------------
1 (4,5,6,9) (6,7) | (4,9) 2 8 | (4,5,7) (5,6,9) 3
(2,4,5,7) (4,5,9) (2,7) | (1,4,9) 3 6 | 8 (1,2,5,9) (1,4,7)
(2,4) 8 3 | (1,4,9) 7 5 | (2,4) (1,2,6,9) (1,4,6)
先將能填入的數字都寫出來 如上圖
(2,4,5) (3,4,5) (1,2) | 7 6 9 | (2,3,4,5) 8 (1,4)
(2,4,7) (3,4,6) 9 | 5 8 (1,2) | (2,3,4,7) (1,2,6) (1,4,6,7)
8 (5,6) (1,2,6,7) | 3 4 (1,2) | (2,5,7) (1,2,5,6) 9
------------------------------------------------------------------------------
3 1 5 | 8 9 4 | 6 7 2
6 7 8 | 2 1 3 | 9 4 5
9 2 4 | 6 5 7 | 1 3 8
------------------------------------------------------------------------------
1 (4,5,
6,9) (
6,7) | (4,9) 2 8 | (4,5,7) (5,
6,9) 3
(2,4,5,7) (4,5,9) (2,7) | (1,4,9) 3 6 | 8 (1,2,5,9) (1,4,7)
(2,4) 8 3 | (1,4,9) 7 5 | (2,4) (1,2,6,9) (1,4,6)
(1) 先看第七列的這兩個
６
在左下的宮格中
只有這兩個地方可以放６
因此
這一列上其他的
６必須刪除
(2,4,5) (3,4,5) (1,2) | 7 6 9 | (2,3,4,5) 8 (1,4)
(2,4,7) (3,4,6) 9 | 5 8 (1,2) | (2,3,4,7) (1,2,6) (1,4,6,7)
8 (5,6) (1,2,6,7) | 3 4 (1,2) | (2,5,7) (1,2,5,6) 9
------------------------------------------------------------------------------
3 1 5 | 8 9 4 | 6 7 2
6 7 8 | 2 1 3 | 9 4 5
9 2 4 | 6 5 7 | 1 3 8
------------------------------------------------------------------------------
1 (4,5,6,9) (6,7) | (4,9) 2 8 | (4,5,7) (5,9) 3
(2,4,5,7) (4,5,9) (2,7) | (1,4,9) 3 6 | 8 (1,2,5,9) (1,4,7)
A(
2,
4) 8 3 | (1,
4,9) 7 5 |
B(
2,
4) (1,
2,6,9) (1,
4,6)
(2) 接著是第九列的
２和
４
因為不是A=2,B=4就是A=4,B=2
因此
第九列其他的
２和
４
必須刪除
(2,4,5) (3,4,5) (1,2) | 7 6 9 | (2,3,4,5) 8 (1,4)
A(2,4,
7) (3,4,6) 9 | 5 8 (1,2) | (2,3,4,
7) (1,2,6)
C(1,4,6,
7)
8 (5,6) (1,2,6,7) | 3 4 (1,2) | (2,5,7) (1,2,5,6) 9
------------------------------------------------------------------------------
3 1 5 | 8 9 4 | 6 7 2
6 7 8 | 2 1 3 | 9 4 5
9 2 4 | 6 5 7 | 1 3 8
------------------------------------------------------------------------------
1 (4,5,6,9) (6,7) | (4,9) 2 8 | (4,5,7) (5,9) 3
B(2,4,5,
7) (4,5,9) (2,
7) | (1,4,9) 3 6 | 8 (1,2,5,9)
D(1,4,
7)
(2,4) 8 3 | (1,9) 7 5 | (2,4) (1,6,9) (1,6)
(3) 第一行的
７剩下的A,B兩個位置
和第九行的
７剩下的C,D兩個位置可以組成一個長方形
因為若A=7則D=7;若B=7則C=7
因此A,C所在的第二列以及B,D所在的第八列
其他的
７必須刪除
(2,4,5) (3,4,5) B(
1,2) | 7 6 9 | (2,3,4,5) 8 D(1,
4)
(2,4,7) (3,4,6) 9 | 5 8 (1,2) | (2,3,4) (1,2,6) (1,4,6,7)
8 (5,6) (1,2,6,7) | 3 4 (1,2) | (2,5,7) (1,2,5,6) 9
------------------------------------------------------------------------------
3 1 5 | 8 9 4 | 6 7 2
6 7 8 | 2 1 3 | 9 4 5
9 2 4 | 6 5 7 | 1 3 8
------------------------------------------------------------------------------
1 (4,5,6,9) (6,7) | (4,9) 2 8 | (4,5,7) (5,9) 3
(2,4,5,7) (4,5,9) A(
2) | (1,4,9) 3 6 | 8 (1,2,5,9) (1,4,7)
C(2,
4) 8 3 | (1,9) 7 5 | E(
2,4) (1,6,9) (1,6)
(4-1) 之後可以填入的數字有 A=2 , B=1 , C=4 , D=4 , E=2
(2,5) (3,5) 1 | 7 6 9 | B(3,
5) 8 4
(2,7) (3,4,6) 9 | 5 8 (1,2) | A(
3) (1,2,6) (1,6,7)
8 (5,6) (6,7) | 3 4 (1,2) | C(5,
7) (1,2,5,6) 9
------------------------------------------------------------------------------
3 1 5 | 8 9 4 | 6 7 2
6 7 8 | 2 1 3 | 9 4 5
9 2 4 | 6 5 7 | 1 3 8
------------------------------------------------------------------------------
1 (5,6,9) (6,7) | E(4,
9) 2 8 | D(
4,5,7) (5,9) 3
(5,7) (5,9) 2 |G(1,
4,9) 3 6 | 8 (1,5,9) (1,7)
4 8 3 | F(
1,9) 7 5 | 2 (1,6,9) (1,6)
(4-2) 之後可以填入的數字有 A=3 , B=5 , C=7 , D=4 , E=9 , F=1 , G=4
(
2) (
3) 1 | 7 6 9 | 5 8 4
(2,
7) (
4,6) 9 | 5 8 (1,
2) | 3 (1,2,
6) (
1,6)
8 (
5,6) (
6) | 3 4 (
1,2) | 7 (1,
2,6) 9
------------------------------------------------------------------------------
3 1 5 | 8 9 4 | 6 7 2
6 7 8 | 2 1 3 | 9 4 5
9 2 4 | 6 5 7 | 1 3 8
------------------------------------------------------------------------------
1 (5,
6) (6,
7) | 9 2 8 | 4 (
5) 3
(
5,7) (5,
9) 2 | 4 3 6 | 8 (
1,5,9) (1,
7)
4 8 3 | 1 7 5 | 2 (6,
9) (
6)
(4-3) 其他格的結果
2 3 1 7 6 9 5 8 4
7 4 9 5 8 2 3 6 1
8 5 6 3 4 1 7 2 9
3 1 5 8 9 4 6 7 2
6 7 8 2 1 3 9 4 5
9 2 4 6 5 7 1 3 8
1 6 7 9 2 8 4 5 3
5 9 2 4 3 6 8 1 7
4 8 3 1 7 5 2 9 6
這是答案
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◆ From: 125.229.181.62
1F：推 kurtw:雖然我沒解，可是大大太用功了，不推不行 04/14 01:36
2F：推 rehearttw:推！相當好的解釋方式！ 04/14 04:21
3F：推 puzzlez:嗯嗯，很感人的答案XD 04/14 20:03
4F：推 rhmg:推~解釋的好清楚哦.圖示做的好好哦..佩服 04/15 01:54
※ 編輯: EIORU 來自: 125.229.178.178 (04/16 12:29)