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Vanhegan Extreme

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Marty R.

Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

Posted: Thu Oct 20, 2011 5:18 pm Post subject: Vanhegan Extreme

This is puzzle 6-455181, rated 1.1.0.0.1. I often solve puzzles rated more difficult, but this one's impossible from my perspective.

Code:

+-------------+----------------+-------------+
| 356 2 7 | 35 9 8 | 1 346 346 |
| 8 1 36 | 2 36 4 | 5 9 7 |
| 9 56 4 | 7 1356 1356 | 8 36 2 |
+-------------+----------------+-------------+
| 1 7 356 | 345 3456 3569 | 2 8 369 |
| 2 9 356 | 8 7 356 | 34 346 1 |
| 36 4 8 | 13 2 1369 | 39 7 5 |
+-------------+----------------+-------------+
| 345 35 9 | 1345 1345 7 | 6 2 8 |
| 7 8 1 | 6 34 2 | 349 5 349 |
| 456 356 2 | 9 8 35 | 7 1 34 |
+-------------+----------------+-------------+

Play this puzzle online at the Daily Sudoku site

arkietech

Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

Posted: Thu Oct 20, 2011 5:46 pm Post subject:

INMHO not for human consumption.

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Fri Oct 21, 2011 8:53 pm Post subject:

There are probably shorter solutions, but this one uses known structures.

Code:

+--------------------------------------------------------------+
| 356 2 7 | 35 9 8 | 1 346 346 |
| 8 1 36 | 2 36 4 | 5 9 7 |
| 9 56 4 | 7 1356 1356 | 8 36 2 |
|--------------------+--------------------+--------------------|
| 1 7 356 | 345 3456 3569 | 2 8 369 |
| 2 9 356 | 8 7 356 | 34 346 1 |
| 36 4 8 | 13 2 1369 | 39 7 5 |
|--------------------+--------------------+--------------------|
| 345 35 9 | 1345 1345 7 | 6 2 8 |
| 7 8 1 | 6 34 2 | 349 5 349 |
| 456 356 2 | 9 8 35 | 7 1 34 |
+--------------------------------------------------------------+
# 62 eliminations remain

c2b7 Locked Candidate 2 <> 3 r7c1 (important)

+--------------------------------------------------------------+
| 356 2 7 | 35 9 8 | 1 346 346 |
| 8 1 36 | 2 36 4 | 5 9 7 |
| 9 56 4 | 7 1356 1356 | 8 36 2 |
|--------------------+--------------------+--------------------|
| 1 7 356 | 345 3456 3569 | 2 8 369 |
| 2 9 356 | 8 7 356 | 34 346 1 |
| 36 4 8 | 13 2 1369 | 39 7 5 |
|--------------------+--------------------+--------------------|
| 45 35 9 | 1345 1345 7 | 6 2 8 |
| 7 8 1 | 6 34 2 | 349 5 349 |
| 456 356 2 | 9 8 35 | 7 1 34 |
+--------------------------------------------------------------+
# 61 eliminations remain

(3=5)r1c4 - r1c1 = r3c2 - (5=3)r7c2 => r7c4<>3 W-Wing
(1)r7c5 = r7c4 - (1=3)r6c4 - r6c1 = r1c1 - r2c3 = (3)r2c5 => r7c5<>3 S-Wing
(1)r3c6 = r6c6 - (1=3)r6c4 - r6c1 = r1c1 - r2c3 = (3)r2c5 => r3c6<>3 S-Wing

+--------------------------------------------------------------+
| 356 2 7 | 35 9 8 | 1 346 346 |
| 8 1 36 | 2 36 4 | 5 9 7 |
| 9 56 4 | 7 1356 156 | 8 36 2 |
|--------------------+--------------------+--------------------|
| 1 7 356 | 345 3456 3569 | 2 8 369 |
| 2 9 356 | 8 7 356 | 34 346 1 |
| 36 4 8 | 13 2 1369 | 39 7 5 |
|--------------------+--------------------+--------------------|
| 45 3 9 | 145 145 7 | 6 2 8 |
| 7 8 1 | 6 34 2 | 349 5 349 |
| 456 56 2 | 9 8 35 | 7 1 34 |
+--------------------------------------------------------------+
# 56 eliminations remain

(5)r1c1 = (5-3)r1c4 = r46c4 - r456c6 = (3-5)r9c6 = (5)r9c12 => r7c1<>5 iW-Wing

c14 X-Wing <> 3 r1c9,r6c7

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