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A difficult puzzle.

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5iyubaobao

Joined: 02 Jan 2008
Posts: 9
Location: BeiJing China

Posted: Thu Jan 10, 2008 8:31 am Post subject: A difficult puzzle.

Hi, all

The following is new puzzle which I can not solve.

Code:

+----------+----------+----------+
| 24 7 8 | 24 6 5 | 1 9 3 |
| 9 3 24 | 248 1 48 | 56 7 56 |
| 5 1 6 | 7 3 9 | 8 4 2 |
+----------+----------+----------+
| 28 9 23 | 458 7 6 | 35 1 45 |
| 17 6 5 | 3 9 14 | 2 8 47 |
| 178 4 13 | 58 2 18 | 357 6 9 |
+----------+----------+----------+
| 6 5 7 | 1 4 2 | 9 3 8 |
| 14 2 14 | 9 8 3 | 67 5 67 |
| 3 8 9 | 6 5 7 | 4 2 1 |
+----------+----------+----------+

I have used many methods, including Strong link and Y-Wing, but can not solve it. So, I use the “Draw/play” again, and it hints the next digital is 3 in R6C3, I wonder how it caculated?

Who know why it is 3? thank you for your time.

ravel

Joined: 21 Apr 2006
Posts: 536

Posted: Thu Jan 10, 2008 9:13 am Post subject:

Code:

+-----------+-----------+----------+
| 24 7 8 | 24 6 5 | 1 9 3 |
| 9 3 24 | 248 1 48 | 56 7 56 |
| 5 1 6 | 7 3 9 | 8 4 2 |
+-----------+-----------+----------+
| 28 9 23 | 458 7 6 | 35 1 45 |
|#17 6 5 | 3 9 14 | 2 8 47 |
|#178 4 -13 | 58 2 #18 | 357 6 9 |
+-----------+-----------+----------+
| 6 5 7 | 1 4 2 | 9 3 8 |
| 14 2 14 | 9 8 3 | 67 5 67 |
| 3 8 9 | 6 5 7 | 4 2 1 |
+-----------+-----------+----------+

There is an xyz-wing in the marked cells. One of them must be 1, so you can eliminate 1 from cells, that see all three.

PS: Here are 3 pretty puzzles by JPF, where you can practice it.

Code:

. . 1 | 2 3 . | . . .
. . 4 | . . . | . . .
. . 5 | . . . | 4 6 7
-------+-------+-------
. . . | 5 . 8 | . . 9
5 . . | . 4 . | . . 2
7 . . | 6 . 3 | . . .
-------+-------+-------
1 2 6 | . . . | 3 . .
. . . | . . . | 9 . .
. . . | . 8 6 | 7 . .

Code:

. . . | 1 2 3 | . . .
. 4 . | . 5 . | . 6 .
. . . | . . . | . . .
-------+-------+-------
1 . . | . . . | . . 3
7 6 . | . 8 . | . 5 2
8 . . | . . . | . . 9
-------+-------+-------
. . . | . . . | . . .
. 8 . | . 6 . | . 4 .
. . . | 3 7 2 | . . .

Code:

. . . | 1 2 3 | . . .
. . . | 4 . 5 | . . .
. . 6 | . . . | 5 . .
-------+-------+-------
4 7 . | . . . | . 3 5
3 . . | . . . | . . 2
2 6 . | . . . | . 8 1
-------+-------+-------
. . 4 | . . . | 9 . .
. . . | 2 . 4 | . . .
. . . | 3 8 7 | . . .

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