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Enjoy VI

 
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Wed Mar 16, 2022 2:46 pm    Post subject: Enjoy VI Reply with quote

Code:

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



Joined: 03 May 2007
Posts: 1151

PostPosted: Wed Mar 16, 2022 2:47 pm    Post subject: Reply with quote

Code:

+------------------+--------+-----------------+
| 1259   8    1259 | 6 4  3 | 129   7   159   |
| 1369   7    1369 | 2 19 5 | 1369  8   4     |
| 123569 1359 4    | 8 19 7 | 12369 139 13569 |
+------------------+--------+-----------------+
| 39     6    8    | 1 5  4 | 7     39  2     |
| 1235   135  1235 | 7 8  9 | 4     6   13    |
| 4      19   7    | 3 2  6 | 19    5   8     |
+------------------+--------+-----------------+
| 8      4    36   | 9 7  1 | 5     2   36    |
| 7      19   169  | 5 3  2 | 8     4   169   |
| 1359   2    1359 | 4 6  8 | 139   139 7     |
+------------------+--------+-----------------+

Play this puzzle online at the Daily Sudoku site
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Fri Mar 18, 2022 9:44 am    Post subject: Reply with quote

-3 r3c8 as by using the <3>'s in r4 leads to no <3> in c2
-1 r8c9 as by using <19> pair in c2 leads to no <1> in box 6
-9 r4c8 as then <19> in r3c8 and r6c7 leads to no <1> in box 9

so r4c8 is <3> to solve

I suspect there is a much simpler way than this!
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dongrave



Joined: 06 Mar 2014
Posts: 563

PostPosted: Fri Mar 18, 2022 4:55 pm    Post subject: Reply with quote

Code:
+-----------------+----------+-----------------+
| 1259  8    1259 | 6  4   3 | 129   7    159  |
| 1369  7    139  | 2  19  5 | 1369  8    4    |
| 26   f35   4    | 8  19  7 | 26   g139  1359 |
+-----------------+----------+-----------------+
| 39    6    8    | 1  5   4 | 7    c39*  2    |
| 1235 e35   1235 | 7  8   9 | 4     6   d13   |
| 4    a19   7    | 3  2   6 |b1*9   5    8    |
+-----------------+----------+-----------------+
| 8     4    36   | 9  7   1 | 5     2    36   |
| 7     9-1  169  | 5  3   2 | 8     4    169  |
|j1359  2   j1359 | 4  6   8 |i139  h139  7    |
+-----------------+----------+-----------------+

I used the chain: 1r6c2=(1*-9)r6c7=(9*-3)r4c8=r5c9-r5c2=r3c2-(39*=1)r3c8-(19*=3)r9c8-(1*3=9)r9c7-(39=1|5)r9c13 => r8c2 <> 1; stte.
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Mar 21, 2022 10:07 am    Post subject: Reply with quote

Good chain Dongrave.
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dongrave



Joined: 06 Mar 2014
Posts: 563

PostPosted: Mon Mar 21, 2022 12:40 pm    Post subject: Reply with quote

Mogulmeister wrote:
Good chain Dongrave.

Thanks Mogulmeister! As you probably already know it's another one of my typical pencil and paper solutions! Smile
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Mar 21, 2022 12:49 pm    Post subject: Reply with quote

It is good to see all the ways that folks here work out some of these fairly gnarly puzzles. Your p+p chains are always entertaining!

This all reminds me of some of my more colourful golf shots when I went round the course with my father:

"Ah. I see you took the pretty route!"

Laughing
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Mar 21, 2022 12:58 pm    Post subject: Reply with quote

One interesting observation I made while looking at your chain is on the <13> at d (r5c9).

If it's <1> then the puzzle solves as you've laid out - go via d then b then a and r8c2 < > 1

If instead it is <3> then r5c2 = 5 and after some helpful basics you feed into your gcd forming a <139> xy wing

and r1c9 < > 1 and again the puzzle solves.
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