QBasicMac wrote:OK, I started with this
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+--------------------+-----------------+--------------------+
| 24678 23478 1 | 56 9 3456 | 2348 2357 234578 |
| 9 347 5 | 1 2 8 | 34 6 347 |
| 2468 2348 2346 | 7 456 3456 | 1 2359 234589 |
+--------------------+-----------------+--------------------+
| 2478 6 247 | 3 478 479 | 5 1 2789 |
| 3 1 247 | 259 4578 4579 | 289 279 6 |
| 278 5 9 | 26 678 1 | 238 4 2378 |
+--------------------+-----------------+--------------------+
| 1 3479 8 | 569 567 2 | 349 359 3459 |
| 257 279 27 | 4 3 579 | 6 8 1 |
| 2456 2349 2346 | 8 1 569 | 7 2359 23459 |
+--------------------+-----------------+--------------------+
Locked candidate 8 in box 4
Locked candidate 6 in box 7
Locked candidate 2 in box 9
Locked candidate 6 in col 6 Translation: Since all 6's in column 6 fall in box 2, then the cells in columns 4 and 5 cannot contain a 6. Remove 6 from r1c4 and r3c5. Now there is a single 6 at r1c4!
r1c4 = 5
r3c5 = 4
That gets us to here
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+------------------+---------------+-------------------+
| 2467 23478 1 | 5 9 36 | 2348 237 23478 |
| 9 347 5 | 1 2 8 | 34 6 347 |
| 26 238 236 | 7 4 36 | 1 2359 23589 |
+------------------+---------------+-------------------+
| 2478 6 247 | 3 78 479 | 5 1 2789 |
| 3 1 247 | 29 578 4579 | 289 279 6 |
| 278 5 9 | 26 678 1 | 238 4 2378 |
+------------------+---------------+-------------------+
| 1 3479 8 | 69 567 2 | 349 359 3459 |
| 257 279 27 | 4 3 579 | 6 8 1 |
| 456 349 346 | 8 1 59 | 7 2359 23459 |
+------------------+---------------+-------------------+
Mac,
I'm trying to follow along, because I'm learning about the logic that other people use. I'm curious about something in these instructions though. You gave an example of how you locked candidate 6 in box 2, and stated that "Since all 6's in column 6 fall in box 2, then the cells in columns 4 and 5 cannot contain a 6." I'm assuming that you meant the cells in columns 4 and 5
OF BOX 2 ONLY, but what about the 6 that shows up in r9c6? Doesn't that throw that theory away? Isn't it possible that the 6 in column 6 could have been in box 8 instead of box 2?
Just trying to understand.
And thanks for the tip on the hidden pairs. I had been waiting until the pairs were visibly apparent before removing clues from the same lines/boxes.
David
OOPS... OK, on second thought... If I follow your same logic path, the 6 that was in r9c6 was already removed if I locked the 6 in box 7, so I think I understand where you were coming from now. Thanks again.