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Puzzle 10/07/20: B

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Tue Jul 20, 2010 4:18 am    Post subject: Puzzle 10/07/20: B Reply with quote
My rating guideline is gone. It wasn't being used anyway.

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

Play this puzzle online at the Daily Sudoku site
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California
PostPosted: Tue Jul 20, 2010 6:10 pm    Post subject: Reply with quote
There are easier ways to go about this, but this looks interesting.

A lot of overlapping URs here. Or maybe the overlap of a (678)BUG-Lite and two URs, (48) and (67).

Dunno for sure, but I get the notion that this forms a MUG from this post by Asellus. Come to think of it, he didn't sound so confident, either :-)

Code:
*-----------------------------------------------------------*
 | 4     8     67    | 5     2     79    | 679   1     3     |
 | 5     9     3     | 6     178   18    | 78    4     2     |
 | 67    1     2     | 4     789   3     | 5     678   6789  |
 |-------------------+-------------------+-------------------|
 | 79    3     1     | 789   6     5     | 4     2     789   |
 | 8     2     67    | 1     4     79    | 679   3     5     |
 | 679   4     5     | 3     789   2     | 6789  678   1     |
 |-------------------+-------------------+-------------------|
 | 3    *67   *48    | 2     5    *468   | 1     9    *678   |
 | 2    *67   *48+9  | 789   1789 *468+1 | 3     5    *678   |
 | 1     5     89    | 789   3     68    | 2     678   4     |
 *-----------------------------------------------------------*


If the MUG's valid, either the +(9) or +(1) must be true, so (9)r8c3=(1)r8c6.

(8=9)r9c3-(9)r8c3=(1)r8c6-(1=8)r2c3 =>r9c6<>8=6.

Opens up a Type 1 UR on (67) for STE.

So, the question is, To MUG or not to MUG...
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Wed Jul 21, 2010 6:52 am    Post subject: Reply with quote
Luke, looks like a nice move! However, I don't know my MUGs from my BUGs...

For the record, I did two moves..

Code:
w-wing(79) (7=9)r4c1 - r4c9=r3c3 - r1c7=r1c6 - (9=7)r5c6; r5c3<>7
type 1 UR(67) r78c29; r8c9<>67
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ronk



Joined: 07 May 2006
Posts: 398
PostPosted: Wed Jul 21, 2010 7:57 pm    Post subject: Reply with quote
Luke451 wrote:
Dunno for sure, but I get the notion that this forms a MUG from this post by Asellus. Come to think of it, he didn't sound so confident, either Smile

Code:
*-----------------------------------------------------------*
 | 4     8     67    | 5     2     79    | 679   1     3     |
 | 5     9     3     | 6     178   18    | 78    4     2     |
 | 67    1     2     | 4     789   3     | 5     678   6789  |
 |-------------------+-------------------+-------------------|
 | 79    3     1     | 789   6     5     | 4     2     789   |
 | 8     2     67    | 1     4     79    | 679   3     5     |
 | 679   4     5     | 3     789   2     | 6789  678   1     |
 |-------------------+-------------------+-------------------|
 | 3    *67   *48    | 2     5    *468   | 1     9    *678   |
 | 2    *67   *48+9  | 789   1789 *468+1 | 3     5    *678   |
 | 1     5     89    | 789   3     68    | 2     678   4     |
 *-----------------------------------------------------------*

If the MUG's valid, either the +(9) or +(1) must be true, so (9)r8c3=(1)r8c6.

(8=9)r9c3-(9)r8c3=(1)r8c6-(1=8)r2c3 =>r9c6<>8=6.
...
So, the question is, To MUG or not to MUG...

MUG away, MUG away, MUG away Exclamation In a Dead Sea Scrolls thread ...

Myth Jellies wrote:

But the following would work as a potential MUG uniqueness pattern

Code:
 .  abcd . | abcd abcd . | .   abcd .
 .  abcd . | abcd abcd . | .   abcd .
 .  .    . | .    .    . | .   .    .
-----------+-------------+------------
 .  .    . | .    .    . | .   .    .

Myth continued to show that the unavoidable sets associated with this pattern are either a U8 or two U4s.

Rather than as unavoidable sets, it's likely easier for solvers to understand as deadly patterns. In a puzzle with multiple solutions, the above would resolve to a single BUG-Lite or two URs. One of twelve possible BUG-Lites is ...
Code:

 .  ab   . | ac   bd   . | .   cd   .
 .  ab   . | ac   bd   . | .   cd   .
 .  .    . | .    .    . | .   .    .
-----------+-------------+------------
 .  .    . | .    .    . | .   .    .

The other eleven are merely value permutations of the above. One of twelve possible URs is ...
Code:

 .  ab   . | cd   ab   . | .   cd   .
 .  ab   . | cd   ab   . | .   cd   .
 .  .    . | .    .    . | .   .    .
-----------+-------------+------------
 .  .    . | .    .    . | .   .    .
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California
PostPosted: Wed Jul 21, 2010 9:16 pm    Post subject: Reply with quote
Thanks for checking that one out, Ron. Are you saying you think the (9)r8c3=(1)r8c6 inference is valid, then?


Here's a look at the BUG-Lite breakdown, same cells, same deduction:
Code:
*-----------------------------------------------------------*
 | 4     8     67    | 5     2     79    | 679   1     3     |
 | 5     9     3     | 6     178   18    | 78    4     2     |
 | 67    1     2     | 4     789   3     | 5     678   6789  |
 |-------------------+-------------------+-------------------|
 | 79    3     1     | 789   6     5     | 4     2     789   |
 | 8     2     67    | 1     4     79    | 679   3     5     |
 | 679   4     5     | 3     789   2     | 6789  678   1     |
 |-------------------+-------------------+-------------------|
 | 3    *67   *48    | 2     5    *46+8  | 1     9    *78+6  |
 | 2    *67   *48+9  | 789   1789 *46+18 | 3     5    *78+6  |
 | 1     5     89    | 789   3     68    | 2     678   4     |
 *-----------------------------------------------------------*

BUG-Lite(4678)r78c2369 =>r9c6<>8
||
(8)r78c6
||
(9)r8c3-(9=8)r9c3
||
(1)r8c6-(1=8)r2c6
||
(6)r78c9-(6=789)als:r9c348
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ronk



Joined: 07 May 2006
Posts: 398
PostPosted: Wed Jul 21, 2010 9:36 pm    Post subject: Reply with quote
Luke451 wrote:
Thanks for checking that one out, Ron. Are you saying you think the (9)r8c3=(1)r8c6 inference is valid, then?

Yes, I should have made that clearer.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Thu Jul 22, 2010 2:46 am    Post subject: Reply with quote
I used a Type 2 UR (67-8), X-Wing (7), Type 6 UR (18) and XYZ-Wing (679).
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