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storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Sat Aug 07, 2010 9:06 pm Post subject: playr.co.uk/sudoku... extreme 8/7/10

Code:

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

after basics...

Code:

+-----------------+-----------------------+--------------------+
| (25) 9 1257 | 8 6 (12) | 1257 4 3 |
| 3 8 125 | 1249 1249 7 | 125 159 6 |
| 6 4 127 | 129 5 3 | 1278 19 278 |
+-----------------+-----------------------+--------------------+
| 1 5 3 | 6 2479 249 | 247 8 247 |
| 29 7 249 | 3 24(1) 8 | 6 -5(1) 24(5) |
| 8 6 24 | 1247 1247 5 | 1247 3 9 |
+-----------------+-----------------------+--------------------+
| 9(5) 23 6 | 249 8 249 | 3459 7 1 |
| 7 23 89 | 5 2349(1) 249(1) | 3489 6 48 |
| 4 1 89(5) | 79 379 6 | 3589 2 8(5) |
+-----------------+-----------------------+--------------------+

#1...(1)r5c8 = (1)r5c5 - (1)r8c5 = (1)r8c6 - (1=2)r1c6 - (2=5)r1c1 - (5)r7c1 = (5)r9c3 - (5)r9c9 = (5)r5c9; r5c8 <> 5
------------
#2...ER 2; r3c6 <> 2
--------------

Code:

+----------------+------------------+--------------+
| 5-2 9 157-2 | 8 6 (12) | 27(1) 4 3 |
| 3 8 (12) | 49 49 7 | 2(1) 5 6 |
| 6 4 127 | 12 5 3 | 8 9 27 |
+----------------+------------------+--------------+
| 1 5 3 | 6 2479 49 | 247 8 27 |
| 29 7 249 | 3 24 8 | 6 1 5 |
| 8 6 24 | 1247 1247 5 | 247 3 9 |
+----------------+------------------+--------------+
| 59 23 6 | 249 8 249 | 359 7 1 |
| 7 23 8 | 5 1239 129 | 39 6 4 |
| 4 1 59 | 79 379 6 | 359 2 8 |
+----------------+------------------+--------------+

#3...w-wing {1,2}; r1c13 <> 2

the fiendish puzzle for the same date is challenging as well.

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun Aug 08, 2010 4:24 am Post subject:

An interesting puzzle Norm. The classification of "extreme" definitely fits.

My solver found a horrible one-step forcing network, so I used your first grid as input to HoDoKu expecting it to then find an ALS of some type that would crack the puzzle. No such luck. This was a surprise to me.

Regards, Danny

FWIW: the network my solver found -- a sequence of assignments and a contradiction

Code:

2r1c1 1r1c6 1r6c4 1r5c8 5r2c8 1r2c3 1r3c7 8r3c9 5r9c9 [b6]-5 => r1c1<>2

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