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Unfair 010222

 
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immpy



Joined: 06 May 2017
Posts: 571

PostPosted: Sun Jan 02, 2022 7:18 pm    Post subject: Unfair 010222 Reply with quote

Hello all, enjoy the puzzle.

Code:

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

Play this puzzle online at the Daily Sudoku site

cheers...immp
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Sun Jan 02, 2022 8:43 pm    Post subject: Reply with quote

Code:
+----------------+------------------+-----------------+
| 3   156  8     | 15   9    145    | 14567 2   4567  |
| 9   2    1456  | 7    148  13458  | 1456  346 456   |
| 14  7    145   | 135  2    6      | 1459  349 8     |
+----------------+------------------+-----------------+
| 156 3    7     | 1568 1468 2      | 468   46  9     |
| 56  4    2     | 9    678  358    | 678   1   367   |
| 8   169  169   | 136  1467 134    | 2     5   3467  |
+----------------+------------------+-----------------+
| 2   1569 1569  | 4    3    7      | 569   8   56    |
| 46  568  3     | 2    68   9      | 456   7   1     |
| 7   689  469   | 168  5    18     | 3     469 2     |
+----------------+------------------+-----------------+

After basics.

(1=4)r3c1-(4=6)r8c1-(6=8)r8c5-r9c4=(8-5)r4c4=(5-1)r4c1=1r3c1

Making r3c1 4 creates a contradiction loop that shows that the start cell r3c1 < > 4 ie must be 1.

r3c1 < > 4 leads to a bit more basics (19 pair) then stte.


Last edited by Mogulmeister on Mon Jan 03, 2022 6:51 am; edited 1 time in total
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Sun Jan 02, 2022 9:18 pm    Post subject: Reply with quote

Thanks Immp. Nice puzzle and Happy New Year to all.
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TomC



Joined: 30 Oct 2020
Posts: 358
Location: Wales

PostPosted: Mon Jan 03, 2022 9:38 am    Post subject: Reply with quote

r6c456 <> 1 as this would create a <468> quad in row 4

Easier to see than explain, but here goes:

if r6c4=1, then r1c4=5, so r4 has [68 468 468 46]

if r6c56=1, then <69> pair gives r6c4=3, <15> in r13c4 and again r4 has [68 468 468 46]

fairly simple stuff to the end
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Jan 03, 2022 11:16 am    Post subject: Reply with quote

The “quad” being an impossibility because only three discrete numbers exist in four squares.
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TomC



Joined: 30 Oct 2020
Posts: 358
Location: Wales

PostPosted: Mon Jan 03, 2022 7:39 pm    Post subject: Reply with quote

My explanation clearly wasn't complete, so....

It's impossible
For a quad to hold just three
It's just impossible
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Tue Jan 04, 2022 8:09 am    Post subject: Reply with quote

Can this triple keep from rushing to be four ?
It's just impossible
If I had three could I ever want for more?
It's just impossible
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