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Puzzle 10/06/11: (C) XY (corrected)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Jun 11, 2010 2:34 pm    Post subject: Puzzle 10/06/11: (C) XY (corrected) Reply with quote
Code:
 +-----------------------+
 | 3 . 5 | 4 . . | . . . |
 | . 8 . | . . . | 4 . . |
 | . . 2 | . 3 . | . 9 . |
 |-------+-------+-------|
 | 6 . . | . . . | . 1 2 |
 | . . 8 | . 2 . | . . 9 |
 | . . . | . . 1 | . . . |
 |-------+-------+-------|
 | 2 6 . | . . . | 3 . . |
 | . . 3 | 6 . . | . 4 1 |
 | . . . | 3 5 . | 9 6 . |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site

Code:
 after basics
 +--------------------------------------------------------------+
 |  3     179   5     |  4     789   6789  |  17    2     68    |
 |  79    8     6     |  2     1     579   |  4     57    3     |
 |  4     17    2     |  78    3     5678  |  157   9     68    |
 |--------------------+--------------------+--------------------|
 |  6     579   4     |  5789  78    3     |  578   1     2     |
 |  1     3     8     |  57    2     4     |  6     57    9     |
 |  579   2     79    |  5789  6     1     |  578   3     4     |
 |--------------------+--------------------+--------------------|
 |  2     6     79    |  1     4     79    |  3     8     5     |
 |  579   579   3     |  6     789   789   |  2     4     1     |
 |  8     4     1     |  3     5     2     |  9     6     7     |
 +--------------------------------------------------------------+
 # 49 eliminations remain
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Fri Jun 11, 2010 5:07 pm    Post subject: Reply with quote
Great puzzle with some interesting features Exclamation I used three steps to complete the puzzle.

Quote:
1. Type 6 UR17 r13c27 with x-wing 1 overlay; r1c2,r3c7<>1
Also, to prevent DP, r1c2=9 or r3c7=5
(9)r1c2 - (9=7)r2c1
(5)r3c7 - (5=7)r2c8
Thus, r2c6<>7

2A. ANP(79=8)r1c25 - (8=7)r3c4; r1c6<>7 and
2B. ANP(79=8)r1c25 - (8=7)r4c5 - (7=5)r5c4 - r5c8 = r2c8 - (5=9)r2c6; r1c6<>9

3. RP57: r3c7, r2c8, r5c8 & r5c4; r3c4<>7

At this point, only three digits remain: 5, 7 & 9
4. 6-cell RP79: r6c3, r7c3, r7c6, r8c5, r1c5, r1c2; r4c2<>79

I reviewed the puzzle after initially completing it and determined that the ANP() step was not needed, but posted it anyway since it could also be viewed as a xyz-wing but then only one deletion was provided.

Ted
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Fri Jun 11, 2010 7:08 pm    Post subject: Reply with quote
I think I made a bit of dog's dinner of this one - there were two remote pairs that just wanted to come into life but never quite did... three steps
Quote:
xy-chain (with a pair) (7=5)r5c4-(5=7)r5c8-(7=5)r2c8-(5=17)r3c27; r3c4<>7
extended kite(9) (9)r1c2=r1c5-r2c6=r7c6 -r7c3=r6c3; r4c2<>9
xy-chain/ANP (17=9)r13c2-(9=7)r1c5-(7=9)r8c5-(9=7)r7c6-(7=9)r7c3-(9=7)r6c3; r4c2<>7

[Edit] Seems similar to Ted's but I didn't play the UR and perhaps that's why the RPs never happened!
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sun Jun 13, 2010 10:07 pm    Post subject: Reply with quote
I used five steps.

Type 4 UR (68)
X-Wing (1)
Type 6 UR (17)
Remote Pairs (57, 79)
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