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strmckr
Joined: 18 Aug 2009 Posts: 64
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Posted: Sat Mar 06, 2010 3:58 am Post subject: |
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retracted pending further study...
Last edited by strmckr on Tue Mar 09, 2010 6:38 am; edited 1 time in total |
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Luke451
Joined: 20 Apr 2008 Posts: 310 Location: Southern Northern California
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Posted: Mon Mar 08, 2010 3:13 pm Post subject: |
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I wrote: | Below is another (359) MUG, with no L-shape into box 9. I can’t get the elims from this one either, though!
Code: | *-----------------------------------------------------------*
| 1 4 7 | 35 6 35 | 8 2 9 |
| 2 3 6 | 9 8 4 | 7 1 5 |
| 9 5 8 | 2 1 7 | 4 6 3 |
|-------------------+-------------------+-------------------|
| 8 9 24 | 346 43 1 | 26 5 7 |
| 6 7 45 | 45 2 8 | 9 3 1 |
| 3 1 25 | 7 *59 *59+6 | 26 4 8 |
|-------------------+-------------------+-------------------|
| 45 6 1 | 8 *359+4 *359 | 35 7 2 |
| 7 2 9 | 1 *35+4 *35+6 | 35 8 46 |
| 45 8 3 | 456 7 2 | 1 9 46 |
*-----------------------------------------------------------* |
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Well, it turns out that doesn’t work because it is not a MUG!
Here’s what I’ve learned about MUGs from someone a lot smarter than I:
"There must be either a) 2 cells in each of 3 boxes, or b) 3 cells in each of 2 boxes. If you reduce them to (one of six possible) BUG-Lites, you'll see why."
Code: |
. abc . | . abc . | . abc .
. . . | . . . | . . .
. abc . | . abc . | . abc .
-------------+-------------+-------------
. . . | . . . | . . .
. abc . | . abc . | . . .
. abc . | . abc . | . . .
. abc . | . abc . | . . .
-------------+-------------+-------------
. . . | . . . | . . . |
The “second” MUG I thought I saw is not a MUG by these rules, because if one is trying to confine the pattern to two boxes it has to contain three cells in each box.
An example of a MUG with two cells in each of three boxes is here.
An example of a MUG with three cells in each of two boxes is here.
That clears up the second MUG (mine), it’s bogus. Still working on the first, and learning a thing or two along the way . |
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