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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Tue Jun 07, 2011 1:19 am Post subject: Puzzle 11/06/06: B XY |
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| Code: | +-----------------------+
| 1 . . | . . . | . . . |
| . 2 . | . 8 . | . 6 . |
| . . 6 | . . . | 1 7 . |
|-------+-------+-------|
| . . . | 2 . . | 7 . 3 |
| . 4 . | . . . | . 2 . |
| . . . | . . 8 | 5 1 9 |
|-------+-------+-------|
| . . 2 | 1 . 9 | 4 . 7 |
| . 8 7 | . 2 6 | . . 1 |
| . . . | 8 . 7 | 6 3 . |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Wed Jun 08, 2011 4:09 am Post subject: |
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My first pass was a two stepper......
| Quote: | Flightless axy-wing (35-6) vertex (35)r7c5 with fin (7)r1c5; r6c2<>6
If xy-wing is true plus transport; (6)r1c5-r46c5=(6)r6c4;
If fin is true: (7)r1c5-r1c2=(7-6)r6c2;
xy-wing (3-59) vertex (39)r3c5; r6c2<>5=6
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Ted |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Jun 08, 2011 5:58 am Post subject: |
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| Code: | after basics
+--------------------------------------------------------------+
| 1 37 58 | 367 367 4 | 2 9 58 |
| 4579 2 459 | 579 8 1 | 3 6 45 |
| 48 359 6 | 359 39 2 | 1 7 48 |
|--------------------+--------------------+--------------------|
| 689 169 189 | 2 169 5 | 7 4 3 |
| 579 4 159 | 79 179 3 | 8 2 6 |
| 2 67 3 | 467 467 8 | 5 1 9 |
|--------------------+--------------------+--------------------|
| 356 56 2 | 1 35 9 | 4 8 7 |
| 34 8 7 | 34 2 6 | 9 5 1 |
| 459 159 1459 | 8 45 7 | 6 3 2 |
+--------------------------------------------------------------+
# 56 eliminations remain
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This puzzles has an unusual UR elimination, that does nothing to advance the solution. _  _
Consider the <49> UR in r29c13. Also, consider the <45> and <459> cells in [r2] and [r9].
| Code: | (4a)r2c1 - (4=5)r2c9 - (a45=9)r2c3
-plus-
(4 )r2c1 - r2c3 = (4b)r9c3 - (4=5)r9c5 - (b45=9)r9c1
*---------------------------------------------------*
| 1 37 58 | 367 367 4 | 2 9 8 |
| *4 2 *9 | 7 8 1 | 3 6 @5 |
| 8 35 6 | 359 39 2 | 1 7 48 |
|-----------------+----------------+----------------|
| 68 169 18 | 2 169 5 | 7 4 3 |
| 57 4 15 | 79 179 3 | 8 2 6 |
| 2 67 3 | 467 467 8 | 5 1 9 |
|-----------------+----------------+----------------|
| 356 56 2 | 1 3 9 | 4 8 7 |
| 3 8 7 | 34 2 6 | 9 5 1 |
| *9 1 *4 | 8 @5 7 | 6 3 2 |
*---------------------------------------------------*
("a" and "b" indicate network/memory used.)
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So, r2c1<>4 follows. |
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dejsmith
Joined: 23 Oct 2005
Posts: 42
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| Posted: Wed Jun 08, 2011 7:55 pm Post subject: |
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| I am usually quite hesitant to contribute since I usually screw something up; but in honor of continuing Marty's "more steps is good enough" philosophy, Peter's penchant for XY Chains, & my need to say something every 6 months or so, I offer the following alternate path. Simple coloring eliminates 7 from r6c4. Then an XY chain 34-46-67-73 eliminates 3 from r1c4; followed by another XY chain 35-56-67-73 eliminates 3 from r1c5. Finally an XY Wing 359 eliminates 5 from r7c2. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Jun 08, 2011 8:06 pm Post subject: |
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dejsmith,
Welcome back for your semi-annual contribution. Considering my solver's solution to this puzzle, your solution looks good to me.
Regards, Danny |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Thu Jun 09, 2011 4:46 am Post subject: |
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XY-Chain; r1c5<>3
W-Wing (67); r1c2, r6c5<>7
XY-Wing (395); r7c2<>5 |
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