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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Tue May 03, 2011 3:49 pm Post subject: Puzzle 11/05/03: ~ Difficult (BBDB?) |
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| Code: | +-----------------------+
| 7 . . | . . . | 1 . . |
| . 8 1 | 4 . . | 5 2 . |
| . 3 2 | . 1 . | . . 7 |
|-------+-------+-------|
| . 4 . | 5 . . | 6 . . |
| . . 7 | . 6 1 | . . . |
| . . . | . 2 4 | . 9 1 |
|-------+-------+-------|
| 4 1 . | 2 . . | 7 . . |
| . 6 . | . . 5 | . . . |
| . . 9 | . . 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 May 04, 2011 2:06 pm Post subject: |
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anp(38=4)r56c7-(3)r5c7=r6c7-(3=8)r6c1-r9c1=(8)r9c7; r38c7<>8 which sets up an
Flightless axy-wing (49-3) vertex (49)r3c7 with fin (8)r5c7; r2c5<>3=9
If xy-wing is true: (3)r5c7-r5c4=(3)r4c5;
If fin is true: (8)r5c7-r9c7=r9c1-r6c1=(8-3)r4c3=(3)r4c5;
In preparing this post, I realized these two steps could be combined to make a flightless axy-wing with TWO fins: (8)r3c7 and (8)r5c7. Viewed in this manner, both fins use the identical path to also delete (3) in r2c5. I assume that some kind of ALS could be formed using this pattern making it simpler to state and to understand.
[Edited to add ALS-XZ; r2c5<>3=9]
ALS "A": (39)r2c9
ALS "B": (3489)r356c7
Shared exclusive is (9)
Shared common is (3)
ALS A: If r2c9<>9 then, r2c9=3
ALS B: If r3c7<>9, then ls(348)r356c7-(8)r9c7=r9c1-r6c1=(8-3)r4c3=(3)r4c5;
Ted |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed May 04, 2011 4:41 pm Post subject: |
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My solver found a few UR eliminations present after basics:
| Code: | after basics
+--------------------------------------------------------------+
| 7 9 4 | 368 5 2 | 1 368 368 |
| 6 8 1 | 4 39 7 | 5 2 39 |
| 5 3 2 | 689 1 689 | 489 468 7 |
|--------------------+--------------------+--------------------|
| 1 4 38 | 5 *89+3 *89 | 6 7 2 |
| 9 2 7 | 38 6 1 | 348 458 458 |
| 38 5 6 | 7 2 4 | 38 9 1 |
|--------------------+--------------------+--------------------|
| 4 1 5 | 2 *89 *89+6 | 7 368 3689 |
| 238 6 38 | 189 7 5 | 2489 148 489 |
| 28 7 9 | 16 4 3 | 28 156 56 |
+--------------------------------------------------------------+
# 55 eliminations remain
r89c17 <28> UR Type 4.2234 <> 8 r8c17
r47c56 <89> UR via s-link <> 89 r7c6
r17c89 <36> UR via s-link <> 6 r7c8
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Now, after several hours of tracking down a single typo, it can use simple internal UR conjugates in a chain:
| Code: | (8)r3c6 = r13c4 - (8=3)r5c4 - (3)r4c5 =UR= (6)r7c6 => r3c6<>6; r7c6<>8
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Unfortunately, it doesn't add anything new to what my solver had already found for this puzzle. _  _
Ted: your solution also works as a nice chain:
| Code: | (3=9)r2c9-(9=348)r356c7-(8)r9c7=r9c1-r6c1=(8-3)r4c3=(3)r4c5 => r2c5<>3=9
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Wed May 04, 2011 7:04 pm Post subject: |
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| daj95376 wrote: | My solver found a few UR eliminations present after basics:
| Code: | after basics
+--------------------------------------------------------------+
| 7 9 4 | 368 5 2 | 1 368 368 |
| 6 8 1 | 4 39 7 | 5 2 39 |
| 5 3 2 | 689 1 689 | 489 468 7 |
|--------------------+--------------------+--------------------|
| 1 4 38 | 5 *89+3 *89 | 6 7 2 |
| 9 2 7 | 38 6 1 | 348 458 458 |
| 38 5 6 | 7 2 4 | 38 9 1 |
|--------------------+--------------------+--------------------|
| 4 1 5 | 2 *89 *89+6 | 7 368 3689 |
| 238 6 38 | 189 7 5 | 2489 148 489 |
| 28 7 9 | 16 4 3 | 28 156 56 |
+--------------------------------------------------------------+
# 55 eliminations remain
r89c17 <28> UR Type 4.2234 <> 8 r8c17
r47c56 <89> UR via s-link <> 89 r7c6
r17c89 <36> UR via s-link <6> r3c6<>6; r7c6<>8
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Unfortunately, it doesn't add anything new to what my solver had already found for this puzzle. _ _
Ted: your solution also works as a nice chain:
| Code: | (3=9)r2c9-(9=348)r356c7-(8)r9c7=r9c1-r6c1=(8-3)r4c3=(3)r4c5 => r2c5<>3=9
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Danny,
I believe that I also found some AURs but they did not offer obvious help, so...............
Thanks for posting the chain. I tend to go with my initial solution regardless of how convoluted it may be. Your chain is clearly the simplest and easiest to understand.
Ted |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Fri May 06, 2011 6:07 am Post subject: |
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| Code: |
+----------+-------------+---------------+
| 7 9 4 | 368 5 2 | 1 368 368 |
| 6 8 1 | 4 39 7 | 5 2 39 |
| 5 3 2 | 689 1 689 | 489 468 7 |
+----------+-------------+---------------+
| 1 4 38 | 5 389 89 | 6 7 2 |
| 9 2 7 | 38 6 1 | 348 458 458 |
| 38 5 6 | 7 2 4 | 38 9 1 |
+----------+-------------+---------------+
| 4 1 5 | 2 89 689 | 7 368 3689 |
| 238 6 38 | 189 7 5 | 2489 148 489 |
| 28 7 9 | 16 4 3 | 28 156 56 |
+----------+-------------+---------------+
|
Play this puzzle online at the Daily Sudoku site
X-Wing (8) in rows 69 brings us here.
| Code: |
+---------+-------------+--------------+
| 7 9 4 | 368 5 2 | 1 368 368 |
| 6 8 1 | 4 39 7 | 5 2 39 |
| 5 3 2 | 689 1 689 | 49 468 7 |
+---------+-------------+--------------+
| 1 4 38 | 5 389 89 | 6 7 2 |
| 9 2 7 | 38 6 1 | 34 458 458 |
| 38 5 6 | 7 2 4 | 38 9 1 |
+---------+-------------+--------------+
| 4 1 5 | 2 89 689 | 7 368 3689 |
| 23 6 38 | 189 7 5 | 249 148 489 |
| 28 7 9 | 16 4 3 | 28 156 56 |
+---------+-------------+--------------+
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Play this puzzle online at the Daily Sudoku site
XY-Wing (493), flightless, pivoted in r3c7. Transport 3 from r2c9 to r1c4; r5c4<>3. |
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