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Enjoy IV

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Mogulmeister

Joined: 03 May 2007
Posts: 1151

Posted: Mon Feb 21, 2022 1:31 pm Post subject: Enjoy IV

Code:

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

Play this puzzle online at the Daily Sudoku site

Mogulmeister

Joined: 03 May 2007
Posts: 1151

Posted: Mon Feb 21, 2022 1:32 pm Post subject:

This is another that can be done in a number of ways.

Clement

Joined: 24 Apr 2006
Posts: 1113
Location: Dar es Salaam Tanzania

Posted: Tue Feb 22, 2022 7:29 pm Post subject:

WOOW Four Steps

Code:

+---------------------+---------------------+-------------------+
| 5 138 9 | 6 138 138 | 7 A24 B24 |
| 17 137 4 |b123 c1237 5 | 8 9 6 |
| 2 6 e78 | 9 4 d78 | 5 3 1 |
+---------------------+---------------------+-------------------+
| 3 14 2 | 7 5 16 | 9 46 8 |
| 4678 478 5 | 238 9 2368 | 1 D67-24 C24 |
| 1678 9 1678 | 128 1268 4 | 3 267 5 |
+---------------------+---------------------+-------------------+
| 18 2 3 | 4 18 9 | 6 5 7 |
| 9 5 67-8 |a28 2678 2678 | 4 1 3 |
| 1467 147 167 | 5 1367 1367 | 2 8 9 |
+---------------------+---------------------+-------------------+

Step 1: Type 1 UR(24)r15c89 => - 24r5c8
Step 2: (8=2)r8c4 - r2c4 = (2-7)r2c5 = r3c6 - (7=8)r3c3 => - 8r8c3

Code:

+----------------------+-----------------------+----------------+
| 5 13-8 9 | 6 a*38 138 | 7 24 24 |
| 17 137 4 | C123 D237 5 | 8 9 6 |
| 2 6 Fc78 | 9 4 E78 | 5 3 1 |
+----------------------+-----------------------+----------------+
| 3 14 2 | 7 5 16 | 9 46 8 |
| 467 478 5 | 238 9 2368 | 1 67 24 |
| 167 9 b1678 | 128 a268 4 | 3 267 5 |
+----------------------+-----------------------+----------------+
| 8 2 3 | 4 1 9 | 6 5 7 |
| 9 5 67 | B28 A2678 2678 | 4 1 3 |
| 1467 147 167 | 5 367 367 | 2 8 9 |
+----------------------+-----------------------+----------------+

Step 3: Kraken Column (8)r168c5
a*(8)r1c5 - (8)r1c2
a(8)r6c5 - r6c3 = r3c3 - (8)r1c2
A(8)r8c5 - (8=2)r8c4 - r2c4 = (2-7)r2c5 = r3c6 - (7=8)r3c3 - (8)r1c2 => - 8r1c2

Code:

+---------------------+---------------------+----------------+
| 5 a13 9 | 6 b38 138 | 7 24 24 |
| 17 137 4 | 123 23 5 | 8 9 6 |
| 2 6 8 | 9 4 7 | 5 3 1 |
+---------------------+---------------------+----------------+
| 3 4-1 2 | 7 5 16 | 9 46 8 |
| 467 8 5 | 23 9 236 | 1 67 24 |
|e167 9 e167 | d128 c268 4 | 3 267 5 |
+---------------------+---------------------+----------------+
| 8 2 3 | 4 1 9 | 6 5 7 |
| 9 5 67 | 28 2678 268 | 4 1 3 |
| 1467 147 167 | 5 367 36 | 2 8 9 |
+---------------------+---------------------+----------------+

Step 4: (1=3)r1c2 - (3=8)r1c5 - r6c5 = (8-1)r6c4 = (1)r6c31 => - 1r4c2; stte

Mogulmeister

Joined: 03 May 2007
Posts: 1151

Posted: Wed Feb 23, 2022 8:00 am Post subject:

Really nice Clement. Particularly the Kraken Column which is saying that whichever 8 appears in col 5, r1c2 < > 8.

TomC

Joined: 30 Oct 2020
Posts: 359
Location: Wales

Posted: Wed Feb 23, 2022 10:36 am Post subject:

Multi steps for me too

First step from Clement's 1st grid <178> XY pivot r2c1 gives -8 r8c3

Leads to

Code:

+---------------+---------------+-----------+
| 5 138 9 | 6 38 138 | 7 24 24 |
| 17 137 4 | 123 237 5 | 8 9 6 |
| 2 6 78 | 9 4 78 | 5 3 1 |
+---------------+---------------+-----------+
| 3 14 2 | 7 5 16 | 9 46 8 |
| 467 478 5 | 238 9 2368 | 1 2467 24 |
| 167 9 1678 | 128 268 4 | 3 267 5 |
+---------------+---------------+-----------+
| 8 2 3 | 4 1 9 | 6 5 7 |
| 9 5 67 | 28 2678 2678 | 4 1 3 |
| 1467 147 167 | 5 367 367 | 2 8 9 |
+---------------+---------------+-----------+

Play this puzzle at the Daily Sudoku site

Then row 3 skyscrapers on 7 and 8 gives -7 r9c6 and -8 r5c6
Then -3 in r5c6 as then r9c6=6, r4c6=1 gives <28> "triple" in c4

This then reveals a <246> XY pivot r5c9 gives -6 in r4c6 and r5c8 which solves the puzzle

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