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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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 Posted: Sat Dec 22, 2007 10:20 pm Post subject: daily telegraph 12/21 |
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| Code: | 8 . 2 | . 9 . | 1 . 4
4 . . | . . . | . . 8
. . . | 4 . 7 | 9 . .
------+-------+------
. . 1 | 6 . 8 | 2 . .
. . . | . . . | . . .
. . 8 | 5 . 3 | 6 . .
------+-------+------
. . 9 | 7 . 4 | . . .
7 . . | . . . | . . 5
1 . 4 | . 3 . | 8 . 2 |
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Johan
Joined: 25 Jun 2007
Posts: 206
Location: Bornem Belgium
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| Posted: Sat Dec 22, 2007 10:33 pm Post subject: |
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Very nice puzzle, i needed four advanced steps to finish this one, the sequence of the steps to collapsing point :
1. ER <3> in Box 1, eliminates <3> in R4C1, it results in a [259] naked triple in C1
2. x-wing <3> in R35C19
3. 9-cell xy-chain with pincer cells in R5C9 and R2C4, takes out <1> in R5C4
4. xy-wing [14-13-34] with pivot in R5C9, eliminates <4> in R4C5
The grid after basics :
| Code: |
+--------------------------+--------------------------+--------------------------+
| 8 7 2 | 3 9 56 | 1 56 4 |
| 4 9 36 | 12 56 12 | 7 356 8 |
| 36 1 5 | 4 8 7 | 9 2 36 |
+--------------------------+--------------------------+--------------------------+
| 359 345 1 | 6 47 8 | 2 34 79 |
| 236 2346 7 | 12 124 9 | 5 8 13 |
| 29 24 8 | 5 1247 3 | 6 14 79 |
+--------------------------+--------------------------+--------------------------+
| 25 8 9 | 7 25 4 | 3 16 16 |
| 7 236 36 | 8 126 12 | 4 9 5 |
| 1 56 4 | 9 3 56 | 8 7 2 |
+--------------------------+--------------------------+--------------------------+ |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Sun Dec 23, 2007 5:09 am Post subject: |
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After Johan's first two steps, there is a shortcut:
| Code: | +-----------+--------------+----------+
| 8 7 2 | 3 9 56 | 1 56 4 |
| 4 9 36 |@12 56 @12 | 7 356 8 |
| 36 1 5 | 4 8 7 | 9 2 36 |
+-----------+--------------+----------+
| 59 345 1 | 6 47 8 | 2 34 79 |
| 36 246 7 |@12 @124 9 | 5 8 13 |
| 29 24 8 | 5 1247 3 | 6 14 79 |
+-----------+--------------+----------+
| 25 8 9 | 7 25 4 | 3 16 16 |
| 7 236 36 | 8 @126 @12 | 4 9 5 |
| 1 56 4 | 9 3 56 | 8 7 2 |
+-----------+--------------+----------+ |
It is based on the 6-cell {12} Deadly Pattern in the middle tower, marked @. r5c5 must be <4> and/or r8c5 must be <6>. But, if r8c5 is <6>, then r8c3 is <3>, r4c2 is <3> and r4c8 is <4>. So, r5c5 and/or r4c8 is <4> and r4c5 cannot be <4>. This solves the puzzle.
For those who are interested in AICs, note that the DP creates a strong inferential link between that <4> and <6>. Then, we have:
(4)r4c5-(4)r5c5=(6)r8c5-(6=3)r8c3-(3)r8c2=(3)r4c2-(3=4)r4c8-(4)r4c5; r4c5<>4 |
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