dailysudoku.com Forum Index dailysudoku.com
Discussion of Daily Sudoku puzzles
 
 FAQFAQ   SearchSearch   MemberlistMemberlist   UsergroupsUsergroups   RegisterRegister 
 ProfileProfile   Log in to check your private messagesLog in to check your private messages   Log inLog in 

Menneske 2897824

 
Post new topic   Reply to topic    dailysudoku.com Forum Index -> Other puzzles
View previous topic :: View next topic  
Author Message
arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Sun Oct 07, 2012 6:46 am    Post subject: Menneske 2897824 Reply with quote
Code:

 *-----------*
 |.8.|9..|.7.|
 |5.1|8..|2.3|
 |6..|3..|..8|
 |---+---+---|
 |...|.8.|521|
 |...|5.2|...|
 |254|.9.|...|
 |---+---+---|
 |8..|..9|..2|
 |1.5|..8|7.9|
 |.2.|..4|.6.|
 *-----------*

Play/Print this puzzle online
Back to top
View user's profile Send private message
Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California
PostPosted: Sun Oct 07, 2012 2:45 pm    Post subject: Reply with quote
Lotsa ways home for this guy.

Code:
 *--------------------------------------------------*
 | 4    8    3    | 9    2    5    | 1    7    6    |
 | 5    79   1    | 8    467  67   | 2    49   3    |
 | 6    79   2    | 3    147  17   | 49   5    8    |
 |----------------+----------------+----------------|
 |*79+3 36  *79+6 | 4    8    37   | 5    2    1    |
 | 37   1    8    | 5    67   2    | 369  39   4    |
 | 2    5    4    | 16   9    136  | 36   8    7    |
 |----------------+----------------+----------------|
 | 8    34   67   | 67   5    9    | 34   1    2    |
 | 1    346  5    | 2    36   8    | 7    34   9    |
 |*79+3 2   *79   | 17   13   4    | 8    6    5    |
 *--------------------------------------------------*

Internal outs of (79)AUR:
(3=6)r4c2-(6)r3c3=(3)r49c1 ==>r5c1<>3

or maybe external:

"Unique" S-wing:
(7)r7c3=(7)r5c1-(7=6)r5c5-(6)r6c4=(6)r7c4 ==>r7c4<>7
Back to top
View user's profile Send private message
Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sun Oct 07, 2012 4:21 pm    Post subject: Reply with quote
Code:
 *-----------------------------------------------------*
 |  4    8    3    |  9     2    5    | 1    7    6    |
 |  5    79   1    |  8     467  67   | 2    49   3    |
 |  6    79   2    |  3     147  17   | 49   5    8    |
 |-----------------+------------------+----------------|
 |  379  36  A679  |  4     8    37   | 5    2    1    |
 | B37   1    8    |  5    C67   2    | 369  39   4    |
 |  2    5    4    | D16    9    136  | 36   8    7    |
 |-----------------+------------------+----------------|
 |  8    34  -67   | E67    5    9    | 34   1    2    |
 |  1    346  5    |  2     36   8    | 7    34   9    |
 |  379  2    79   |  17    13   4    | 8    6    5    |
 *-----------------------------------------------------*


I also used the DP 79. Either r49c1=3-->r5c1=7(B) or r4c3=6(A). B=7-->E=6 via BCDE; r7c3<>6.
Back to top
View user's profile Send private message
arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Sun Oct 07, 2012 6:40 pm    Post subject: Reply with quote
aur externals still mystify me! Confused


so I am back to "almost" xy-wings:

Code:

 *--------------------------------------------------*
 | 4    8    3    | 9    2    5    | 1    7    6    |
 | 5    79   1    | 8   c467  67   | 2   b49   3    |
 | 6    79   2    | 3    147  17   | 49   5    8    |
 |----------------+----------------+----------------|
 | 379  36   679  | 4    8    37   | 5    2    1    |
 | 37   1    8    | 5   c67   2    | 369 a39   4    |
 | 2    5    4    | 16   9    136  | 36   8    7    |
 |----------------+----------------+----------------|
 | 8    34   67   | 67   5    9    | 34   1    2    |
 | 1    346  5    | 2   c36   8    | 7    4-3  9    |
 | 379  2    79   | 17   13   4    | 8    6    5    |
 *--------------------------------------------------*
als xy-wing
(3=9)r5c8-(9=4)r2c8-(4=3)als:r258c5 => -3r8c8; stte



Play/Print this puzzle online
Back to top
View user's profile Send private message
ronk



Joined: 07 May 2006
Posts: 398
PostPosted: Mon Oct 08, 2012 12:23 am    Post subject: Reply with quote
Luke451 wrote:
Code:
 *--------------------------------------------------*
 | 4    8    3    | 9    2    5    | 1    7    6    |
 | 5    79   1    | 8    467  67   | 2    49   3    |
 | 6    79   2    | 3    147  17   | 49   5    8    |
 |----------------+----------------+----------------|
 |*79+3 36  *79+6 | 4    8    37   | 5    2    1    |
 | 37   1    8    | 5    67   2    | 369  39   4    |
 | 2    5    4    | 16   9    136  | 36   8    7    |
 |----------------+----------------+----------------|
 | 8    34   67   | 67   5    9    | 34   1    2    |
 | 1    346  5    | 2    36   8    | 7    34   9    |
 |*79+3 2   *79   | 17   13   4    | 8    6    5    |
 *--------------------------------------------------*

Two moves using UR(79)r49c13 can be applied simultaneously:
    overlapping x-wing for digit 9 ==> r4c1<>7
    external DP busters (7)r5c1 = (7)r7c3 ==> r4c3<>7
    stte
Back to top
View user's profile Send private message
arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Mon Oct 08, 2012 1:51 am    Post subject: Reply with quote
ronk wrote:
external DP busters (7)r5c1 = (7)r7c3 ==> r4c3<7>


(7=3)r5c1-(3=6)aur:r49c13 => -7r4c3

3 in r5c1 forces a 6 in r4c3 due to the dp

Thanks ronk!
Back to top
View user's profile Send private message
Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California
PostPosted: Mon Oct 08, 2012 5:34 am    Post subject: Reply with quote
arkietech wrote:
ronk wrote:
external DP busters (7)r5c1 = (7)r7c3 ==> r4c3<7>


(7=3)r5c1-(3=6)aur:r49c13 => -7r4c3

3 in r5c1 forces a 6 in r4c3 due to the dp

I think it's simpler than that. Simpler than any of the UR related moves offered above, including my own.
Ron is pointing out that the (79) UR solves the puzzle without the need for a chain at all.
Code:
 *--------------------------------------------------*
 | 4    8    3    | 9    2    5    | 1    7    6    |
 | 5    79   1    | 8    467  67   | 2    49   3    |
 | 6    79   2    | 3    147  17   | 49   5    8    |
 |----------------+----------------+----------------|
 |*79+3 36  *79+6 | 4    8    37   | 5    2    1    |
 | 37   1    8    | 5    67   2    | 369  39   4    |
 | 2    5    4    | 16   9    136  | 36   8    7    |
 |----------------+----------------+----------------|
 | 8    34   67   | 67   5    9    | 34   1    2    |
 | 1    346  5    | 2    36   8    | 7    34   9    |
 |*79+3 2   *79   | 17   13   4    | 8    6    5    |
 *--------------------------------------------------*

There's a hidden rectangle that takes out (7)r4c1 due to the x-wing overlay on (9) and the naked (79)r9c3.
More simply, if the (7) ended up in r4c1, the DP would be forced:
Code:
7   9
9   7

At the same time, the "external outs" (7r5c1 = 7r7c3) pinch off (7)r4c3.
Each condition exists independently, but when both are applied they solve the puzzle.
Back to top
View user's profile Send private message
keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Mon Oct 08, 2012 10:23 am    Post subject: Reply with quote
The X-wing overlaying a UR has been called a "Type 6" UR.
Code:
+-------------+-------------+-------------+
| 4   8   3   | 9   2   5   | 1   7   6   |
| 5   79  1   | 8   467 67  | 2   49  3   |
| 6   79  2   | 3   147 17  | 49  5   8   |
+-------------+-------------+-------------+
|79+3 36 79+6 | 4   8   37  | 5   2   1   |
|-37  1   8   | 5   67  2   | 369 39  4   |
| 2   5   4   | 16  9   136 | 36  8   7   |
+-------------+-------------+-------------+
| 8   34  67  | 67  5   9   | 34  1   2   |
| 1   346 5   | 2   36  8   | 7   34  9   |
|79+3 2   79  | 17  13  4   | 8   6   5   |
+-------------+-------------+-------------+

To avoid the DP, either R4C13 is 36, or R9C1 is 3. Either way, R5C1 is 7.

Keith
Back to top
View user's profile Send private message
aran



Joined: 19 Apr 2010
Posts: 70
PostPosted: Mon Oct 08, 2012 10:30 am    Post subject: Reply with quote
Or
7r4c6=(3+7)r95c1 :=><7>r4c13
Back to top
View user's profile Send private message
ronk



Joined: 07 May 2006
Posts: 398
PostPosted: Mon Oct 08, 2012 11:42 am    Post subject: Reply with quote
aran wrote:
Or
7r4c6=(3+7)r95c1 :=><7>r4c13

Not sure what that means but, with external DP busters only ...
(7)r4c6 = (7)r5c1 ==> r4c13<>7, stte

Using external DP busters in r4 and c1 only is sufficient because the 4th AUR cell r9c3 contains only the two UR digits.
Back to top
View user's profile Send private message
tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Mon Oct 08, 2012 1:39 pm    Post subject: Reply with quote
I need to seriously reviewed these posts; I sense another learning session coming on.

My non-AUR solution was a two stepper.

Finned x-wing(9)r18c12 with fin 9r1c3
[(9-6)r1c3=r1c1-(6=5=9)r78 => -9r5c1] = [x-wing(9)r18c12 => -9r5c1] => -9r5c1

xy-wing(59-8)r4c2,r1c2,r6c1 => -8r1c1,r6c2

Ted
Back to top
View user's profile Send private message
daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Mon Oct 08, 2012 4:01 pm    Post subject: Reply with quote
Another "simple" example for using the <79>UR. (Almost the same as Keith's solution.)

Code:
 after basics
 +-----------------------------------------------------+
 |  4    8    3    |  9    2    5    |  1    7    6    |
 |  5    79   1    |  8    467  67   |  2    49   3    |
 |  6    79   2    |  3    147  17   |  49   5    8    |
 |-----------------+-----------------+-----------------|
 | *79+3 36  *79+6 |  4    8    37   |  5    2    1    |
 |  7-3  1    8    |  5    67   2    |  369  39   4    |
 |  2    5    4    |  16   9    136  |  36   8    7    |
 |-----------------+-----------------+-----------------|
 |  8    34   67   |  67   5    9    |  34   1    2    |
 |  1    346  5    |  2    36   8    |  7    34   9    |
 | *79+3 2   *79   |  17   13   4    |  8    6    5    |
 +-----------------------------------------------------+
 # 38 eliminations remain

(3)r49c1            - (3)r5c2
(6)r4c3 - (6=3)r4c2 - (3)r5c2
Back to top
View user's profile Send private message
keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Mon Oct 08, 2012 5:14 pm    Post subject: Reply with quote
daj95376 wrote:
(Almost the same as Keith's solution.)


Yes, I didn't post it for a day because I thought it was very similar to others. Then, I saw we were slicing and dicing this every way possible.

A variant is that the 36 pair in R4 and the 3 in R9C1 respectively cause R4C6 and R5C1 to be pincers on 7.

Keith
Back to top
View user's profile Send private message
daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Mon Oct 08, 2012 7:59 pm    Post subject: Reply with quote
keith wrote:
Then, I saw we were slicing and dicing this every way possible.

The same reason for my post.
Back to top
View user's profile Send private message
Display posts from previous:   
Post new topic   Reply to topic    dailysudoku.com Forum Index -> Other puzzles All times are GMT
Page 1 of 1

 
Jump to:  
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum


Powered by phpBB © 2001, 2005 phpBB Group