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Enjoy IV

 
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Feb 21, 2022 1:31 pm    Post subject: Enjoy IV Reply with quote

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
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Feb 21, 2022 1:32 pm    Post subject: Reply with quote

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



Joined: 24 Apr 2006
Posts: 1110
Location: Dar es Salaam Tanzania

PostPosted: Tue Feb 22, 2022 7:29 pm    Post subject: Reply with quote

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
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Wed Feb 23, 2022 8:00 am    Post subject: Reply with quote

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



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Wed Feb 23, 2022 10:36 am    Post subject: Reply with quote

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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