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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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 Posted: Thu Sep 24, 2009 2:06 pm Post subject: Vanhegan Fiendish September 24 |
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A VH style puzzle with numerous variations.
| Code: |
+-------+-------+-------+
| 7 . . | . . . | . . . |
| . . . | . . . | . 4 7 |
| . 5 8 | 7 . . | 1 . . |
+-------+-------+-------+
| . 7 . | 8 9 . | 5 6 2 |
| . 8 . | 5 . 7 | . 3 . |
| 5 3 9 | . 1 6 | . 7 . |
+-------+-------+-------+
| . . 7 | . . 1 | 8 2 . |
| 6 1 . | . . . | . . . |
| . . . | . . . | . . 9 |
+-------+-------+-------+
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Play online
Ted |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Thu Sep 24, 2009 5:26 pm Post subject: |
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Another one stepper  : | Code: | *-----------------------------------------------------------*
| 7 246 1234 | 1346 36 9 | 236 8 5 |
| 139 269 123 | 136 8 5 | 236 4 7 |
| 34 5 8 | 7 236 24 | 1 9 36 |
|-------------------+-------------------+-------------------|
| 14 7 14 | 8 9 3 | 5 6 2 |
| 2 8 6 | 5 4 7 | 9 3 1 |
| 5 3 9 | 2 1 6 | 4 7 8 |
|-------------------+-------------------+-------------------|
| 349 49 7 | 346 5 1 | 8 2 346 |
| 6 1 234 | 9 237 8 | 37 5 34 |
| 8 24 5 | 36 367 24 | 367 1 9 |
*-----------------------------------------------------------*
(4)r3c1=(4-2)r3c6=(2)r3c5-(2)r8c5=(2-3)r8c3=(3)r7c1-(3=4)r3c1 => r3c1=4
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This is fun! |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Thu Sep 24, 2009 10:09 pm Post subject: |
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Do I ever wish that I could find these on a regular basis.
After basics:
| Code: | <26> UR in [r12c27] forces [r9c2]=2 and/or [r9c7]=6
[r9c2]=2 [r9c6]=4 => [r7c4]<>4
[r9c7]=6 [r9c45]<>6 [r7c4]=6 => [r7c4]<>4
+--------------------------------------------------------------+
| 7 *26+4 1234 | 1346 36 9 | *26+3 8 5 |
| 139 *26+9 123 | 136 8 5 | *26+3 4 7 |
| 34 5 8 | 7 236 24 | 1 9 36 |
|--------------------+--------------------+--------------------|
| 14 7 14 | 8 9 3 | 5 6 2 |
| 2 8 6 | 5 4 7 | 9 3 1 |
| 5 3 9 | 2 1 6 | 4 7 8 |
|--------------------+--------------------+--------------------|
| 349 49 7 | 36-4 5 1 | 8 2 346 |
| 6 1 234 | 9 237 8 | 37 5 34 |
| 8 @24 5 | 36 367 24 | @367 1 9 |
+--------------------------------------------------------------+
# 48 eliminations remain
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Fri Sep 25, 2009 12:47 am Post subject: |
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| I used simple coloring on 4 followed by an XY-Chain. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Fri Sep 25, 2009 1:00 am Post subject: |
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nice one Danny.
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Myth Jellies
Joined: 27 Jun 2006
Posts: 64
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| Posted: Fri Sep 25, 2009 8:57 am Post subject: |
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| Code: | *-----------------------------------------------------------*
| 7 246 1234 | 1346 36 9 | 236 8 5 |
| 139 269 123 | 136 8 5 | 236 4 7 |
| 34 5 8 | 7 236 24 | 1 9 36 |
|-------------------+-------------------+-------------------|
| 14 7 14 | 8 9 3 | 5 6 2 |
| 2 8 6 | 5 4 7 | 9 3 1 |
| 5 3 9 | 2 1 6 | 4 7 8 |
|-------------------+-------------------+-------------------|
| 349 49 7 | 346 5 1 | 8 2 346 |
| 6 1 234 | 9 37+2 8 | 37 5 34 |
| 8 24 5 |#36 37+6 24 | 37+6 1 9 |
*-----------------------------------------------------------*
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Even though this UR doesn't solve to the end, it is an interesting little mix that is perhaps easiest to see if you look along the rows. From row 8 you have the avoidance option of (2)r8c5, which is really (27)r89c5 thanks to the locked sevens in the deadly pattern. From row 9 you have the avoidance option of the three escaping to r9c4. Combine the two and you get r89c5 <> 3 |
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ttt
Joined: 06 Dec 2008
Posts: 42
Location: vietnam
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| Posted: Fri Sep 25, 2009 10:25 am Post subject: |
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| Code: | *-----------------------------------------------------------*
| 7 246 1234 | 1346 36 9 | 236 8 5 |
| 139 269 123 |#136 8 5 | 236 4 7 |
| 34 5 8 | 7 236 24 | 1 9 36 |
|-------------------+-------------------+-------------------|
| 14 7 14 | 8 9 3 | 5 6 2 |
| 2 8 6 | 5 4 7 | 9 3 1 |
| 5 3 9 | 2 1 6 | 4 7 8 |
|-------------------+-------------------+-------------------|
| 349 49 7 |#346 5 1 | 8 2 346 |
| 6 1 234 | 9 237 8 | 37 5 34 |
| 8 24 5 |#36 367 24 | 367 1 9 |
*-----------------------------------------------------------* |
This doesn’t solve the puzzle, but a bit interesting on using “Empty Cell” pattern .
Look r279c4 => to avoid empty cell: at least one of [(1)r2c4, (4)r7c4] must be true.
(1)r2c4=(4)r7c4-(4=9)r7c2-(9)r2c2=(9)r2c1 => r2c1<>1
ttt |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Fri Sep 25, 2009 3:45 pm Post subject: |
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ttt: Your "Empty Cell" strong link is interesting; but, in this case, is indirectly present by using one more cell in [c4].
(1)r2c4 = (1-4)r1c4 = r7c4 - (4=9)r7c2 - r2c2 = (9)r2c1; => r2c1<>1 |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Fri Sep 25, 2009 7:26 pm Post subject: |
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The "empty cell" inference is just another name for the standard ALS strong inference. Here, it is within the 3-cell 1346 ALS:
ALS[(1)r2c4=(4)r7c4]r279c4
It is always true that all instances (i.e. considered as a group) of any two candidates within an ALS have a strong inference between them. In this particular case, the <1> and <4> each occur singly in the ALS so no grouping was required.
In my opinion, these ALS inferences are unjustly overlooked in grids and are frequently very useful. |
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