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Puzzle 10/06/22: (B) XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Jun 22, 2010 4:50 pm    Post subject: Puzzle 10/06/22: (B) XY Reply with quote

Code:
 +-----------------------+
 | . 4 6 | . . 9 | . . . |
 | 5 3 . | 4 6 . | 9 . . |
 | 9 . . | . . 3 | 6 . . |
 |-------+-------+-------|
 | . 5 . | . 7 8 | . . 9 |
 | . 8 . | 9 5 . | . . . |
 | 4 . 9 | 3 . 2 | 7 . . |
 |-------+-------+-------|
 | . 7 4 | . . 6 | 5 9 . |
 | . . . | . . . | 4 7 . |
 | . . . | 7 . . | . . 3 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site

Code:
 after basics
 +-----------------------------------------------------------------------+
 |  18     4      6      |  15     2      9      |  138    135    7      |
 |  5      3      128    |  4      6      7      |  9      12     128    |
 |  9      12     7      |  15     8      3      |  6      125    4      |
 |-----------------------+-----------------------+-----------------------|
 |  123    5      123    |  6      7      8      |  123    4      9      |
 |  7      8      123    |  9      5      4      |  123    1236   126    |
 |  4      6      9      |  3      1      2      |  7      8      5      |
 |-----------------------+-----------------------+-----------------------|
 |  128    7      4      |  28     3      6      |  5      9      128    |
 |  12368  12     12358  |  28     9      15     |  4      7      1268   |
 |  1268   9      1258   |  7      4      15     |  128    126    3      |
 +-----------------------------------------------------------------------+
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Wed Jun 23, 2010 10:32 am    Post subject: Reply with quote

Quote:
1.Colouring on 8s r9c3 <> 8
2. X-Wing on 8s r78c1 <> 8
3. (18) W-wing r7c1<>1
4. <269> XY Wing r2c8<>2
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Wed Jun 23, 2010 5:37 pm    Post subject: Reply with quote

Still making myself look harder at implication of DPs (not really enjoying it...! I think this will be my last).. three steps

Quote:
kite(8); r9c3<>8
DP(15) r89c36 r8c3=238 || r9c3=2
+ (3-8)r8c3=(8-2)r2c3=(2-1)r3c2=r8c2; r8c2=1
+ (8)r8c3 - (8=2)r8c4 - (2=1)r8c2; r8c2=1
+ (2)r89c3 - (2=1)r8c2; r8c2=1
w-wing(26) (6=2)r5c9 - r2c9=r2c8 - (2=6)r9c8; r5c8<>6, r8c9<>6
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Thu Jun 24, 2010 12:53 am    Post subject: Reply with quote

I'll forgo the gruesome details, but I needed seven steps.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Jun 24, 2010 1:16 am    Post subject: Reply with quote

Marty R. wrote:
I'll forgo the gruesome details, but I needed seven steps.

Not bad! My solver says you were up against:

Kite <8>, X-Wing <8>, <15> UR Type 4 (optional), numerous choices for M/W-Wing, and an XY-Wing (if you skipped the UR).
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Thu Jun 24, 2010 3:47 am    Post subject: Reply with quote

I used two Type 4 URs on 15, XYZ on 128, ER on 8, X-Wing on 8, XY-Wing on 128 with pincer transport and XY-Wing on 682, also with pincer transport.
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jun 24, 2010 5:57 am    Post subject: Reply with quote

daj95376 wrote:
Marty R. wrote:
I'll forgo the gruesome details, but I needed seven steps.

Not bad! My solver says you were up against:

Kite <8>, X-Wing <8>, <15> UR Type 4 (optional), numerous choices for M/W-Wing, and an XY-Wing (if you skipped the UR).


I did forego the UR (extraneous) but that may be one of the few times your solver and I were exactly in accord!!
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Mon Jun 28, 2010 5:54 am    Post subject: Reply with quote

I tried again for an all AN(PTQ) solution for a puzzle, but once again I had to use another technique, an ALS-XZ, to complete the puzzle.

ANP(18=2)r17c1 - (2=1)r8c2; r89c1<>1
ANP(28=1)r7c14 - (1=8)r1c1 - r1c7 = r2c9; r7c9<>8
ANP(12=5)r23c8 - (5=1)r3c4 - r3c2 = r8c2 - r8c6 = r9c6* - r9c78 = r78c9; r2c9,r9c8<>1
ANT(128=6)r8c249 - (6=2)r9c8 - (2=15)r3c48 - r3c2 = (1)r8c2; r8c36<>1
ANP(12=8)r7c1|r8c2 - r1c1 = r1c7 - r2c9 = r8c9 - (8=2)r9c7; r9c1<>2
ANP(18=3)r1c17 - (3=15)r1c8|r3c8 - (1=2)r2c8 - (2=6)r9c8 - (6=8)r9c1 - (8=1)r1c1; r1c48<>1

At this point my code was:
Code:
*-----------------------------------------------------------*
 | 18    4     6     | 5     2     9     | 18    3     7     |
 | 5     3     18    | 4     6     7     | 9     12    28    |
 | 9     2     7     | 1     8     3     | 6     5     4     |
 |-------------------+-------------------+-------------------|
 | 123   5     123   | 6     7     8     | 123   4     9     |
 | 7     8     123   | 9     5     4     | 123   126   26    |
 | 4     6     9     | 3     1     2     | 7     8     5     |
 |-------------------+-------------------+-------------------|
 | 28    7     4     | 28    3     6     | 5     9     1     |
 | 2368  1     238   | 28    9     5     | 4     7     68    |
 | 68    9     5     | 7     4     1     | 28    26    3     |


ALS XZ: A = (168)r19c1, B=(126)r29c8, X=6, Z=1; r1c7,r2c8<>1.

Ted
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