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VH+ 092722

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immpy

Joined: 06 May 2017
Posts: 571

Posted: Tue Sep 27, 2022 6:32 pm Post subject: VH+ 092722

Hello all, enjoy the puzzle.

Code:

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

Play this puzzle online at the Daily Sudoku site

cheers...immp

dongrave

Joined: 06 Mar 2014
Posts: 568

Posted: Wed Sep 28, 2022 10:58 pm Post subject:

Thanks for the puzzle immp! I enjoyed that one. Here's the grid that I ended up with after basics:

Code:

+----------------+--------------+-----------+
| 459 245 249 | 24 1 6 | 3 8 7 |
| 478 248 6 | 3 478 248 | 5 1 9 |
| 3 1 78 | 5 78 9 | 6 4 2 |
+----------------+--------------+-----------+
| 148 7 148 | 9 2 5 | 48 3 6 |
| 2 9 5 | 48 6 3 | 48 7 1 |
| 48 6 3 | 1 48 7 | 9 2 5 |
+----------------+--------------+-----------+
| 179 48 179 | 67 5 48 | 2 69 3 |
| 6 2458 2489 | 248 3 1 | 7 59 48 |
| 4578 3 2478 | 67 9 248 | 1 56 48 |
+----------------+--------------+-----------+

My one-step solution was unbearably long but I'd really like to see how others solved it!

Clement

Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania

Posted: Fri Oct 07, 2022 8:08 am Post subject: VH + 092722

It looks innocent but not.
Five Steps

Code:

+----------------------+--------------------+----------------+
| 459 245 49-2 | 24 1 6 | 3 8 7 |
| 478 d248 6 | 3 478 c248 | 5 1 9 |
| 3 1 78 | 5 78 9 | 6 4 2 |
+----------------------+--------------------+----------------+
| 148 7 148 | 9 2 5 | 48 3 6 |
| 2 9 5 | 48 6 3 | 48 7 1 |
| 48 6 3 | 1 48 7 | 9 2 5 |
+----------------------+--------------------+----------------+
| 179 48 179 | 67 5 48 | 2 69 3 |
| 6 458-2 2489 | 248 3 1 | 7 59 48 |
| 4578 3 a2478 | 67 9 b248 | 1 56 48 |
+----------------------+--------------------+----------------+

Step 1: (2)r9c3 = r9c6 - r2c6 = r2c2 => - 2r1c3,r8c2

Code:

+----------------------+--------------------+----------------+
| 459 245 a49 | b24 1 6 | 3 8 7 |
| 478 248 6 | 3 478 c248 | 5 1 9 |
| 3 1 78 | 5 78 9 | 6 4 2 |
+----------------------+--------------------+----------------+
| 148 7 148 | 9 2 5 | 48 3 6 |
| 2 9 5 | 48 6 3 | 48 7 1 |
| 48 6 3 | 1 48 7 | 9 2 5 |
+----------------------+--------------------+----------------+
| 179 48 179 | 67 5 48 | 2 69 3 |
| 6 458 f248-9| 248 3 1 | 7 59 48 |
| 4578 3 e2478 | 67 9 d248 | 1 56 48 |
+----------------------+--------------------+----------------+

Step 2: (9=4)r1c3 - (4=2)r1c4 - r2c6 = r9c6 - r9c3 = (2)r8c3 => - 9r8c3

Code:

+--------------------+-------------------+---------------+
| 5 24 9 | 24 1 6 | 3 8 7 |
| 47-8 248 6 | 3 478 248 | 5 1 9 |
| 3 1 d78 | 5 c78 9 | 6 4 2 |
+--------------------+-------------------+---------------+
| 1 7 48 | 9 2 5 | 48 3 6 |
| 2 9 5 | 48 6 3 | 48 7 1 |
|a48 6 3 | 1 b48 7 | 9 2 5 |
+--------------------+-------------------+---------------+
| 9 48 1 | 7 5 48 | 2 6 3 |
| 6 5 248 | 248 3 1 | 7 9 48 |
| 478 3 2478 | 6 9 248 | 1 5 48 |
+--------------------+-------------------+---------------+

Step 3: (8)r6c1 = r6c5 - r3cc5 = (8)r3c3 => - 8r2c1

Code:

+--------------------+-------------------+---------------+
| 5 24 9 | 24 1 6 | 3 8 7 |
|a47 248 6 | 3 b478 248 | 5 1 9 |
| 3 1 d78 | 5 c78 9 | 6 4 2 |
+--------------------+-------------------+---------------+
| 1 7 e48 | 9 2 5 | 48 3 6 |
| 2 9 5 | 48 6 3 | 48 7 1 |
| 8-4 6 3 | 1 48 7 | 9 2 5 |
+--------------------+-------------------+---------------+
| 9 48 1 | 7 5 48 | 2 6 3 |
| 6 5 248 | 248 3 1 | 7 9 48 |
| 478 3 2478 | 6 9 248 | 1 5 48 |
+--------------------+-------------------+---------------+

Step 4: (4=7)r2c1 - r2c5 = r3c5 - (7=8)r3c3 - (8=4)r4c3 => - 4r6c1

Code:

+--------------------+-------------------+----------------+
| 5 24 9 | 24 1 6 | 3 8 7 |
| 47 248 6 | 3 78 248 | 5 1 9 |
| 3 1 78 | 5 78 9 | 6 4 2 |
+--------------------+-------------------+----------------+
| 1 7 4 | 9 2 5 | 8 3 6 |
| 2 9 5 | 8 6 3 | 4 7 1 |
| 8 6 3 | 1 4 7 | 9 2 5 |
+--------------------+-------------------+----------------+
| 9 48 1 | 7 5 48 | 2 6 3 |
| 6 5 d28 |c24 3 1 | 7 9 b48 |
|f7-4 3 e278 | 6 9 248 | 1 5 a48 |
+--------------------+-------------------+----------------+

Step 5: (4)r9c9 = r8c9 - (4=2)r8c4 - r8c3 = (2-7)r9c3 = (7)r9c1 => - 4r9c1; stte

dongrave

Joined: 06 Mar 2014
Posts: 568

Posted: Fri Oct 07, 2022 4:41 pm Post subject:

Wow! Nice job Clement! I used the following ridiculously long chain!

Code:

+--------------------+------------------+-----------+
| g45*9 h245 249 | c24 1 6 | 3 8 7 |
| n47*8 a2*48 6 | 3 o478 bk248* | 5 1 9 |
| 3 1 m78 | 5 L78 9 | 6 4 2 |
+--------------------+------------------+-----------+
| 148 7 148 | 9 2 5 | 48 3 6 |
| 2 9 5 | 48 6 3 | 48 7 1 |
| q48 6 3 | 1 p48 7 | 9 2 5 |
+--------------------+------------------+-----------+
| 179 i48 179 | 67 5 j48 | 2 69 3 |
| 6 e2458 2489 | d248 3 1 | 7 59 d48 |
| fr4578 3 2478 | 67 9 248 | 1 56 48 |
+--------------------+------------------+-----------+

2*r2c2-r2c6=r1c4-(2=4|8)r8c49-(2*48=5)r8c2-r9c1=5*r1c1-(2*5=4)r1c2-r7c2=r7c6-(2*4=8*)r2c6-(8=7)r3c5-r3c3=7*r2c1-(78*=4)r2c5-r6c5=r6c1-(45*7*=8)r9c1 contradiction (i.e. 8r7c2, 8r9c1) => r2c2 <> 2; stte.

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