## Help with a puzzle please

All about puzzles in newspapers, magazines, and books

### Help with a puzzle please

Stuck on the following hard puzzle from a local paper. Can anyone help please.

--- --- --2
--- --8 -7-
-52 --- 31-

4-8 --7 -2-
--- 2-3 ---
-7- 5-- 6-1

-67 --- 89-
-4- 6-- ---
9-- --- ---

This is as far as I got:

-8- 7-- -62
--- -28 -7-
752 --6 318

4-8 -67 -2-
--- 2-3 7--
27- 5-- 6-1

-67 --2 89-
84- 6-- 2-7
92- 87- 1-6

I have the 49 double in box 2, the 56 double in row 5, and the 49
double in row 1.
What am I missing?
deecee

Posts: 6
Joined: 22 May 2006

I found 2 x-wings to solve the puzzle. The first was for 4s and the second for 3s. Sorry I can't be more specific.
Hud

Posts: 570
Joined: 29 October 2005

I guess you're trying to solve it without pencilmarks... Anyway here is the candidate list:
Code: Select all
` *--------------------------------------------------------------------* | 13     8      49     | 7      135    15     | 49     6      2      | | 136    39     13469  | 13     2      8      | 459    7      59     | | 7      5      2      | 49     49     6      | 3      1      8      | |----------------------+----------------------+----------------------| | 4      139    8      | 19     6      7      | 59     2      359    | | 56     19     56     | 2      1489   3      | 7      48     49     | | 2      7      39     | 5      489    49     | 6      348    1      | |----------------------+----------------------+----------------------| | 135    6      7      | 134    1345   2      | 8      9      34     | | 8      4      135    | 6      1359   159    | 2      35     7      | | 9      2      35     | 8      7      45     | 1      345    6      | *--------------------------------------------------------------------*`

After an x-wing from here, only singles are needed for the rest...
udosuk

Posts: 2698
Joined: 17 July 2005

### Help with a puzzle please

Hi deecee,

To help you further along, the X-Wing pattern requires a particular candidate to appear twice and only twice either in two rows and sharing the same two columns in which case the eventual exclusions occur in columns or, using the same logic, where a particular candidate appears twice and only twice in two columns and sharing the same two rows then the exclusions occur in rows.

In your following candidate grid, the 3's form an X-wing pattern in rows 6 and 9, columns 3 and 8 (these cells are marked with an asterisk). Under the above definition, this enables the remaining 3's in columns 3 and 8 to be excluded from the cells marked (A)

Code: Select all
` *--------------------------------------------------------------------* | 13     8      49     | 7      135    15     | 49     6      2      | | 136    39  (A)13469  | 13     2      8      | 459    7      59     | | 7      5      2      | 49     49     6      | 3      1      8      | |----------------------+----------------------+----------------------| | 4      139    8      | 19     6      7      | 59     2      359    | | 56     19     56     | 2      1489   3      | 7      48     49     | | 2      7     *39     | 5      489    49     | 6     *348    1      | |----------------------+----------------------+----------------------| | 135    6      7      | 134    1345   2      | 8      9      34     | | 8      4   (A)135    | 6      1359   159    | 2   (A)35     7      | | 9      2     *35     | 8      7      45     | 1     *345    6      | *--------------------------------------------------------------------*`

As already mentioned by udosuk, the puzzle now requires only singles to solve it.

Cec
Cec

Posts: 1039
Joined: 16 June 2005

Thanks guys. I didn't know about x-wings. I'll have another go at the puzzle
deecee

Posts: 6
Joined: 22 May 2006