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Brown Belt 9

 
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PeteGrant



Joined: 17 Feb 2006
Posts: 10
Location: Saranac Lake, New York

PostPosted: Sun Sep 17, 2006 1:31 pm    Post subject: Brown Belt 9 Reply with quote

I'm stuck:

Code:

------------------------------------------
|  9   6   8 |   5 23  4 |    23    7  1 |
|  3   7  12 |   8  6 19 |     5   29  4 |
|  4   5  12 | 123  7 19 |  2369 2369  8 |
------------------------------------------
| 12 348  34 |   7 14  5 | 23689 2369 36 |
|  6   9   7 |  23 23  8 |     4    1  5 |
| 12 348   5 |   9 14  6 |  2378   23 37 |
------------------------------------------
|  5 134  34 | 146  9  7 |   136    8  2 |
|  7 134   6 |  14  8  2 |    13    5  9 |
|  8   2   9 |  16  5  3 |   167    4 67 |
------------------------------------------


(you can see a clearer version, but with more candidates, at http://www.peteclimbs.com/sudoku/bb009.htm)

Draw program suggests 2 in R1C7 but I can't figure out the logic behind it. I find some pairs and triplets but they don't do me any good. Neither do the XWings (e.g., 8 at R4C2&7 and R6C2&7). Can anyone see what I'm missing?

Thanks,
Pete[/code]
________
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Last edited by PeteGrant on Thu Feb 03, 2011 10:05 am; edited 1 time in total
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David Bryant



Joined: 29 Jul 2005
Posts: 559
Location: Denver, Colorado

PostPosted: Sun Sep 17, 2006 1:48 pm    Post subject: Line/Box interaction Reply with quote

Hi, Pete!

The hint relies on "line/box interaction".

The "3" in the lower right 3x3 box must lie in column 7. Therefore there cannot be a "3" at r1c7, leaving "2" as the sole candidate. dcb
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PeteGrant



Joined: 17 Feb 2006
Posts: 10
Location: Saranac Lake, New York

PostPosted: Mon Sep 18, 2006 11:45 am    Post subject: Reply with quote

Thank You, David.

It's amazing how clear the solution is once the clue is pointed out. I must've stared at it for an hour and not seen it. My excuse: On pen & paper version with corrections it wasn't quite as obvious Smile
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