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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Sun Nov 21, 2021 7:19 pm    Post subject: All kinds of Stuff Reply with quote
OK here we go - lots of ways home. Single and multi steps all good!


Code:

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



Joined: 03 May 2007
Posts: 1151
PostPosted: Wed Nov 24, 2021 3:51 am    Post subject: Reply with quote
Code:
+-------------------+-----------------+--------------+
| 5     8     24    | 2349 34  2349   | 1   6   7    |
| 17    6     17    | 24   5   8      | 3   9   24   |
| 234   234   9     | 7    16  16     | 5   8   24   |
+-------------------+-----------------+--------------+
| 1236  123   8     | 5    7   136    | 9   4   13   |
| 13467 13479 1347  | 8    2   13469  | 67  5   13   |
| 13467 13479 5     | 349  16  13469  | 67  2   8    |
+-------------------+-----------------+--------------+
| 23    5     6     | 1    34  234    | 8   7   9    |
| 8     14    14    | 6    9   7      | 2   3   5    |
| 9     237   237   | 23   8   5      | 4   1   6    |
+-------------------+-----------------+--------------+


After basics. You can employ quite a lot of different techniques here.
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immpy



Joined: 06 May 2017
Posts: 574
PostPosted: Wed Nov 24, 2021 7:27 pm    Post subject: Reply with quote
Thanks for the puzzle Mogulmeister. Didn't solve in one step, but used XYs, Skyscraper, U.R. at various stages. Good puzzle!
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Wed Nov 24, 2021 7:51 pm    Post subject: Reply with quote
Thanks Immp. You’ve done well uncovering some of those techniques. Hopefully this one appeals to players of all stripes !
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Mon Nov 29, 2021 12:51 pm    Post subject: Reply with quote
Any other answers ? All solutions welcome!
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TomC



Joined: 30 Oct 2020
Posts: 359
Location: Wales
PostPosted: Mon Nov 29, 2021 4:04 pm    Post subject: Reply with quote
From the after basics grid:

234 XY wing in c45 removes <4> from r1c5,
also remove <3> from r6c4 as then r9c4=2, r1c3=2, r2c4=2 leads to r9c4 = 3

more basics (to fill in the <3>'s) leads to


Code:

+--------------+-----------+---------+
| 5    8    24 | 249 3  49 | 1  6 7  |
| 17   6    17 | 24  5  8  | 3  9 24 |
| 24   3    9  | 7   16 16 | 5  8 24 |
+--------------+-----------+---------+
| 126  12   8  | 5   7  16 | 9  4 3  |
| 467  479  3  | 8   2  49 | 67 5 1  |
| 1467 1479 5  | 49  16 3  | 67 2 8  |
+--------------+-----------+---------+
| 3    5    6  | 1   4  2  | 8  7 9  |
| 8    14   14 | 6   9  7  | 2  3 5  |
| 9    27   27 | 3   8  5  | 4  1 6  |
+--------------+-----------+---------+

Play this puzzle at the Daily Sudoku site

Then remove <1> from r46c1 as then r2c1=7, r4c2=2, r9c2=7 leads to no <7> in box 4
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Mon Nov 29, 2021 4:25 pm    Post subject: Reply with quote
I used Immpy's skyscraper for 2's in columns 3 and 6 which eliminated the 2's in r7c1 and r9c4 and left the field of play eventually looking like this


Code:
+----------------+--------------+--------------+
| 5    8    24   | 249 3   49   | 1   6   7    |
| 17   6    17   | 24  5   8    | 3   9   24   |
| 24   3    9    | 7   16  16   | 5   8   24   |
+----------------+--------------+--------------+
| 126  12   8    | 5   7   16   | 9   4   3    |
| 467  479  3    | 8   2   49   | 67  5   1    |
| 1467 1479 5    | 49  16  3    | 67  2   8    |
+----------------+--------------+--------------+
| 3    5    6    | 1   4   2    | 8   7   9    |
| 8    14   14   | 6   9   7    | 2   3   5    |
| 9    27   27   | 3   8   5    | 4   1   6    |
+----------------+--------------+--------------+


Last edited by Mogulmeister on Mon Nov 29, 2021 4:35 pm; edited 1 time in total
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Mon Nov 29, 2021 4:32 pm    Post subject: Reply with quote
Then if you go:

(4=1)r8c2-(1=2)r4c2-(2)r9c2=(2)r9c3-(2=4)r1c3 and r8c3 <> 4.

Or you can express this chain in contradictory language:

Put 1 in r8c2 and that puts a 4 in r1c3 and no 4's in box 7 so

r8c2 < > 1 it must be 4 so r8c3 < > 4
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