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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Tue Aug 09, 2011 9:49 pm Post subject: Puzzle 11/08/09: ~ XY (BBDB?) (difficult!) |
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| Code: | +-----------------------+
| . . 6 | . . 9 | . 1 . |
| . 8 4 | 2 5 1 | . . 9 |
| 5 9 1 | . . . | . 2 . |
|-------+-------+-------|
| . 4 . | 9 . . | 5 . . |
| . 6 . | . 8 . | . 3 . |
| 7 3 . | . . . | . . . |
|-------+-------+-------|
| . . . | 6 . . | 3 . . |
| 8 . 3 | . 2 . | . 9 . |
| . 5 . | . . . | . . 2 |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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Luke451
Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California
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| Posted: Wed Aug 10, 2011 4:31 am Post subject: |
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If a black bug bleeds black blood, what color blood does a blue bug bleed?
| Code: | *-----------------------------------------------------------*
| 2 7 6 | 348 34 9 | 48 1 5 |
| 3 8 4 | 2 5 1 | 67 67 9 |
| 5 9 1 | 478 467 4678 | 48 2 3 |
|-------------------+-------------------+-------------------|
| 1 4 28 | 9 367 2367 | 5 678 678 |
| 9 6 5 | 147 8 47 | 2 3 147 |
| 7 3 28 | 145 46 2456 | 9 468 1468 |
|-------------------+-------------------+-------------------|
| 4 2 9 | 6 1 78 | 3 5 78 |
| 8 1 3 | 457 2 457 | 67 9 467 |
| 6 5 7 | 348 9 348 | 1 48 2 |
*-----------------------------------------------------------* |
BUG-Lite (67)r2c78,r4c89,r8c79[(8)r4c89=(4)r8c9]:
1. (8)r6c3=r4c3-[(8)r4c89=(4)r8c9]-(4=8)r9c8 =>r6c8<>8
2. xy: (8=4)r9c8-(4=6)-(6=4)-(4=7)-(7=8)r7c6 =>r7c9<>8 |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Aug 10, 2011 6:41 am Post subject: |
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| Luke451 wrote: | BUG-Lite (67)r2c78,r4c89,r8c79[(8)r4c89=(4)r8c9]:
1. (8)r6c3=r4c3-[(8)r4c89=(4)r8c9]-(4=8)r9c8 =>r6c8<>8
2. xy: (8=4)r9c8-(4=6)-(6=4)-(4=7)-(7=8)r7c6 =>r7c9<>8
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Luke, nice find on the BUG-Lite. Can the first chain be shortened?
(8)r6c3=r4c3-[(8)r4c89=(4)r8c9]-(4=8)r9c8 =>r6c8<>8 |
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Luke451
Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California
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| Posted: Wed Aug 10, 2011 1:32 pm Post subject: |
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| daj95376 wrote: | | Luke451 wrote: | BUG-Lite (67)r2c78,r4c89,r8c79[(8)r4c89=(4)r8c9]:
1. (8)r6c3=r4c3-[(8)r4c89=(4)r8c9]-(4=8)r9c8 =>r6c8<>8
2. xy: (8=4)r9c8-(4=6)-(6=4)-(4=7)-(7=8)r7c6 =>r7c9<>8
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Luke, nice find on the BUG-Lite. Can the first chain be shortened?
(8)r6c3=r4c3-[(8)r4c89=(4)r8c9]-(4=8)r9c8 =>r6c8<>8 |
Sure can, that first part was left over from a failed attempt to combine the two moves, should have been clipped. Thanks.
So now, if we are now calling little wings things like a "Purple Cow" based on someone's whim, I'm going ahead by claiming further naming rights.
This particular BUG-Lite will hereafter and into perpetuity be known as the "Blue Blood BUG." Thank you very much. I look forward to the Sudopedia revisions, articles on "Extended Blue Blood BUGS," glory and recognition.
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ronk
Joined: 07 May 2006
Posts: 398
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| Posted: Wed Aug 10, 2011 1:55 pm Post subject: |
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| Luke451 wrote: | | So now, if we are now calling little wings things like a "Purple Cow" based on someone's whim, I'm going ahead by claiming further naming rights. |
You'll find no support for the "purple cow" name from me ... and I've been astounded at its usage by others.   |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Aug 10, 2011 4:42 pm Post subject: |
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| Luke451 wrote: | So now, if we are now calling little wings things like a "Purple Cow" based on someone's whim, I'm going ahead by claiming further naming rights.
This particular BUG-Lite will hereafter and into perpetuity be known as the "Blue Blood BUG." Thank you very much. I look forward to the Sudopedia revisions, articles on "Extended Blue Blood BUGS," glory and recognition.
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Luke,
I'm glad to see someone having fun with the trend to name interesting patterns. I must admit that I participated, some. I also must admit that this is an interesting pattern, and that it's tempting to stick a label on it. Thanks for the chuckle!!!
BTW: The Purple Cow thing confused me from the start.
Regards, Danny |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Thu Aug 11, 2011 5:59 pm Post subject: |
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| I'm stuck. I played the Bug-Lite (I still like to call it a potential DP) but the eliminations didn't set up a move that I could see. I don't understand what Luke did with the Bug-Lite, but his subsequent chain set r6c8<>8, which i thought was accomplished by the Bug-Lite. |
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Luke451
Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California
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| Posted: Fri Aug 12, 2011 2:17 am Post subject: |
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| Marty R. wrote: | | I'm stuck. I played the Bug-Lite (I still like to call it a potential DP) but the eliminations didn't set up a move that I could see. I don't understand what Luke did with the Bug-Lite, but his subsequent chain set r6c8<>8, which i thought was accomplished by the Bug-Lite. |
Hi, Marty, thanks for looking past my shenanigans and at the actual puzzle 
Did you mean to say you do or don't understand what was done with BUG-Lite? r6c8<>8 is accomplished by the BUG-Lite, as you pointed out.
The second chain (xy) proves r7c9<>8.
If what was done with the BUG-Lite is confusing, I will elaborate to the best of my shaky ability. |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Fri Aug 12, 2011 3:48 am Post subject: |
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| Quote: | Hi, Marty, thanks for looking past my shenanigans and at the actual puzzle Smile
Did you mean to say you do or don't understand what was done with BUG-Lite? r6c8<>8 is accomplished by the BUG-Lite, as you pointed out.
The second chain (xy) proves r7c9<>8.
If what was done with the BUG-Lite is confusing, I will elaborate to the best of my shaky ability. |
Luke,
First of all, I'm notation-challenged. But I can now see in your post that the first line like was a heading, or intro, not a separate step. I was thinking that the chain that eliminated 8 from r6c8 was step #2 as opposed to the elimination from the Bug-Lite. |
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Fri Aug 12, 2011 8:01 am Post subject: |
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An alternative non-DP two stepper...
| Code: | m-wing-like(48) (4=78)r57c6 - r7c9=(8-4)r9c8=r6c8 ; r6c456<>4, r5c9<>4
xyz-wing(68-7) r4c9, r4c8, r7c9 ; r5c9<>7 |
For fun a one-stepper admittedly cobbled together from another path in my notes.. and trying too hard!
| Code: | | xyz-wing(45-7)r8c6,r8c4,r5c6=(4)r8c4 - (348=7)r193c4 - r3c5=r4c5 - (678=4)r4c89|r6c6 - (4=8)r9c8 - (8=7)r7c9 ; r7c6<>7 |
(Couple of almost-xyz-wings in these two paths) |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Fri Aug 12, 2011 4:43 pm Post subject: |
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My solver used a long XY-Chain on this puzzle to keep it XY-rated.
Alternately:
| Code: | after basics:
+--------------------------------------------------------------+
| 2 7 6 | 348 34 9 | 48 1 5 |
| 3 8 4 | 2 5 1 | 67 67 9 |
| 5 9 1 | 478 467 4678 | 48 2 3 |
|--------------------+--------------------+--------------------|
| 1 4 28 | 9 367 2367 | 5 678 678 |
| 9 6 5 | 147 8 47 | 2 3 147 |
| 7 3 28 | 145 46 2456 | 9 468 1468 |
|--------------------+--------------------+--------------------|
| 4 2 9 | 6 1 78 | 3 5 78 |
| 8 1 3 | 457 2 457 | 67 9 467 |
| 6 5 7 | 348 9 348 | 1 48 2 |
+--------------------------------------------------------------+
# 55 eliminations remain
(4=7)r5c6 - r7c6 = r7c9 - (67=4)r8c7+9 => r5c9,r8c6<>4
<68+7> XYZ-Wing r4c9/r4c8+r7c9 <> 7 r5c9
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