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immpy
Joined: 06 May 2017
Posts: 574
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 Posted: Sun Jan 02, 2022 7:18 pm Post subject: Unfair 010222 |
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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 |
+-------+-------+-------+
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Play this puzzle online at the Daily Sudoku site
cheers...immp |
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Mogulmeister
Joined: 03 May 2007
Posts: 1151
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| Posted: Sun Jan 02, 2022 8:43 pm Post subject: |
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| 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
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| Posted: Sun Jan 02, 2022 9:18 pm Post subject: |
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| Thanks Immp. Nice puzzle and Happy New Year to all. |
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TomC
Joined: 30 Oct 2020
Posts: 359
Location: Wales
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| Posted: Mon Jan 03, 2022 9:38 am Post subject: |
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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
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| Posted: Mon Jan 03, 2022 11:16 am Post subject: |
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| The “quad” being an impossibility because only three discrete numbers exist in four squares. |
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TomC
Joined: 30 Oct 2020
Posts: 359
Location: Wales
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| Posted: Mon Jan 03, 2022 7:39 pm Post subject: |
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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
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| Posted: Tue Jan 04, 2022 8:09 am Post subject: |
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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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